Word Problem

Problem 10401

Adam's credit card calculates finance charges using the adjusted balance method and a 30-day billing cycle. The table below shows his use of that credit card over three months.
| Date | Amount (\$) | Transaction | |---|---|---| | 4/1 | 626.45 | Beginning balance | | 4/10 | 37.41 | Purchase | | 4/12 | 44.50 | Purchase | | 5/3 | 65.50 | Payment | | 5/16 | 24.89 | Purchase | | 5/20 | 104.77 | Payment | | 6/6 | 23.60 | Payment | | 6/10 | 15.00 | Purchase | | 6/14 | 51.85 | Purchase |
If Adam's credit card has an APR of 14.63%, what is Adam's balance at the end of June?

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Problem 10402

There is padding on all six sides of the mattress. How many square ft of padding covers the mattress? $\square$ square ft of padding covers the mattress.

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Problem 10403

ANOVA is to be used in a research study using two therapy groups. For each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. How many different sample means will there be? a. two b. three c. five d. six

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Problem 10404

Complete the table below by filling in the principal quantum number $n$ and angular momentum quantum number $l$ for each electron subshell listed.
| subshell | principal quantum number $n$ | angular momentum quantum number $l$ | |---|---|---| | 3d | | | | 3p | | | | 6f | | | | 5f | | |

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Problem 10405

Write the electron configuration for a neutral atom of sodium.

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Problem 10406

Write the electron configuration for a neutral atom of phosphorus.

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Problem 10407

How is the graph in part (b) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis neither stretch nor shrink vertically by a factor of 0 neither stretch nor shrink horizontally by a factor of 0 do not shift up or down 0 units do not shift left or right 0 units How is the graph in part (c) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis neither stretch nor shrink vertically by a factor of 1 neither stretch nor shrink horizontally by a factor of 1 Nice job. do not shift up or down 0 units 0 units do not shift left or right How is the graph in part (d) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis stretch vertically by a factor of 2 Exactly! neither stretch nor shrink horizontally by a factor of 1 That's it! do not shift up or down 0 units do not shift left or right 0 units

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Problem 10408

Find the volume $V$ of the solid obtained by rotating the region bounded by the given curves about the specified line.
$y = x + 1$ , $y = 0$ , $x = 0$ , $x = 2$ ; about the x-axis
$V =$

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Problem 10409

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of $42^{\circ}$ to the top of the building, and an angle of depression of $16.8^{\circ}$ to the base of the tower. Find the height of the tower. $\qquad$ ft

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Problem 10410

A pilot flies in a straight path for 1 hour and 30 min . She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 hours in the new direction. If she maintains a constant speed of 680 miles per hour, how far is she from her starting position?
Answer: $\square$ miles

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Problem 10411

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable $v$ to represent Vidya's savings.

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Problem 10412

4. Suppose that a friend missed class and never learned what $37^{\frac{1}{3}}$ means. a. Use exponent rules your friend would already know to calculate $\left(37^{\frac{1}{3}}\right)^{3}$ . b. Explain why this means that $37^{\frac{1}{3}}$ is the cube root of 37 .

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Problem 10413

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron $f$ Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

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Problem 10414

If consumers spend 80 cents out of every extra dollar received, the
Multiple Choice
multiplier is 5.
marginal propensity to save is 0.80.
marginal propensity to consume is 0.20.
multiplier is 20.

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Problem 10415

$n = 2317$ $x = 411$ A survey of 2317 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) through (c) below.
(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. $\hat{p} =$ (Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about $p$ are satisfied. The sample a simple random sample, the value of is , which is 10, and the less than or equal to 5% of the . (Round to three decimal places as needed.)
(c) Construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. We are % confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and . B. There is a % chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and .

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Problem 10416

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.
Grafik: Bitkinin Uzama Miktarı
Buna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

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Problem 10417

Alice must make at least 6 new reports in 180 minutes. Personal reports ( $x$ ) take her 20 minutes to make and commercial reports ( $y$ ) take her 35 minutes to make. Complete the inequalities below to represent this situation: $\begin{array}{l} x+y \geq[?] \\ x+\quad y \leq 180 \end{array}$ Enter

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Problem 10418

s of Linear Inequalities -Real World
Tom needs to make at least 48 pizzas during his 360 minute shift. Cheese pizzas ( $x$ ) take him 5 minutes to make and pepperoni pizzas ( y ) take him 6 minutes to make. Complete the inequalities below to represent this situation: $\begin{array}{c} x+y \geq 48 \\ {[?] x+6 y \leq \square} \end{array}$ Enter

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Problem 10419

At the end of the current year, Accounts Receivable has a balance of $\$ 700,000$ ; Allowance for Doubtful Accounts has a credit balance of $\$ 5,500$ ; and sales for the year total $\$ 3,500,000$ . Bad debt expense is estimated at $1 / 2$ of $1 \%$ of sales. a. Determine the amount of the adjusting entry for bad debt expense. \\square$ b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense.
Adjusted Balance Accounts Receivable $\square$ Allowance for Doubtful Accounts $\square$ Bad Debt Expense $\square$ c. Determine the net realizable value of accounts receivable. \\square$

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Problem 10420

The amount of the promissory note plus the interest earned on the due date is called the a. issuance value b. maturity value c. face value d. interest value

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Problem 10421

When the allowance method is used to account for uncollectible accounts, Bad Debt Expense is debited when a. a customer's account becomes past due b. management estimates the amount of uncollectibles c. an account becomes bad and is written off d. a sale is made

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Problem 10422

$P(x)$ تعني $x < 5$ فإن قيمة الحقيقة لـ $(\forall x P(x)$ حيث $x$ تنتمي إلى مجموعة الأعداد الحقيقية هي $F$ .
إختر واحداً: صح خطأ
سؤال 6 غیر مجاب عليه بعد الدرجة من 1.00 علم هذا السؤال
عند التحويل من النظام العشري الى أنظمة العد المختلفة
a. نقسم b. نطرح c. نضرب d. نجمع

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Problem 10423

Чему равен восьмой член арифметической прогрессии $1,1.5,2,2.5, \ldots$ Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

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Problem 10424

Use the image to answer the question.
2 ft.
Ramp up to the house
$20^\circ$
Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is $20^\circ$ , how long does the ramp have to be?
(1 point)

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Problem 10425

Section Review 2-2
1. What is a strain in a wire of length 0.4 m , compressed by 0.05 m ?
2. A metallic wire is under a stress of $2 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$ . What force causes this stress in the wire if its cross sectional area is $1.5 \mathrm{~mm}^{2}$ .

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Problem 10426

A survey showed that 4 out of 5 students owr a bicycle. Based on this result, how many of the 800 students in a school own a bicycle?

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Problem 10427

c. 24.6 A. Applying a current to a rechargeable battery converts it from cell to cell a. a voltaic; an electrolytic b. an electrolytic; a voltaic c. a Leclanché; a Nernst d. a Nernst; a Leclanché e. a Born cell; a Haber

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Problem 10428

The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3 . Tony made 10 baskets. How many baskets did Colin make?

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Problem 10429

Să se arate câ $M^{*}$ este un $R$ - modul la dreapta.
4. Folosind metoda eliminärii totale (GAUSS-JORDAN), sa se rezolve sistemul $\left\{\begin{array}{l} x+y+2 z+2 t=3 \\ x+y+z+2 t=2 \\ 2 x+3 y+3 z+t=10 \\ 3 x+y+13 t=-8 \end{array}\right.$
Barem de notare:

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Problem 10430

تدريب (۲) : هرم رباعي قائم حجمه ۳۲ سم ۳ ، ارتفاعه ٦ سم ، ما طول ضلع قاعدته :

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Problem 10431

Note: Figure is not drawn to scale
If $U=3$ inches, $V=5$ inches, $W=8$ inches, $X=6$ inches, $Y=8$ inches, and $Z=5$ inches, what is the area of the object? A. 77 square inches B. 64 square inches C. 65 square inches D. 71 square inches

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Problem 10432

$\text{Abbey is getting new carpet in her living room and hallway. The following diagram shows the two together.}$ $\text{Note: Figure not drawn to scale}$ $\text{If } a=34 \text{ ft}, b=14 \text{ ft}, c=17 \text{ ft}, \text{ and } d=18 \text{ ft}, \text{ what is the area of the living room and hallway together?}$ $\text{A. } 782 \text{ ft}^2$ $\text{B. } 374 \text{ ft}^2$ $\text{C. } 166 \text{ ft}^2$ $\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$ $\text{Dialogue Transcript:}$ $\text{assistant:}$ $\text{Hi there! It looks like you have a math problem related to finding the area of Abbey's living room and hallway combined. However, it seems like there might be some missing information or a diagram that we can't see from just the text.}$ $\text{Could you clarify a bit more about how the dimensions a, b, c, and d relate to each other? For instance, are they sides of rectangles or part of another shape? Any details on how the living room and hallway are connected or shaped would help me generate a more accurate answer for you.}$ $\text{Once you provide some more context, I'd be happy to help you solve the problem!}$ $\text{user:}$ $\text{They are sides of the rectangle}$

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Problem 10433

Sparx Maths New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1B Calculator not allowed
For each number, decide whether it is prime or not prime: a) 51 b) 87

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Problem 10434

.13 بتاريخ 2021/10/20 قام صاحب المحلات بسحب بضاعة بسعر السوق (البيع) بقيمة 3000 دينار

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Problem 10435

Note: Figure is not drawn to scale.
If $x=8$ units, $y=5$ units, and $h=3$ units, then what is the area of the parallelogram shown above? A. 24 square units B. 26 square units C. 15 square units D. 40 square units

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Problem 10436

En el muestreo aleatorio simple la muestra se selecciona a través de un sistema que se aplica después de la selección de un punto aleatorio d Falso Verdadero

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Problem 10437

(D) The bromide ion is then larger than the bromine atom.
PQ-24. Which ion has the largest radius? (A) $Cl^{-}$ (B) $F^{-}$ (C) $K^{+}$ (D) $Cu^{2+}$

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Problem 10438

How many energy is requie toleft a 167 pound person to 16 feet

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Problem 10439

Circle the Correct answer.
1- In some schools, students don't have to/must write on their textbooks.
2- Twenty years ago the family must/had to move to another country.
3- When do we have to/didn't have to finish this homework

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Problem 10440

A patient takes vitamin pills. Each day she must have at least 2700 IU of vitamin $\mathrm{A}, 16 \mathrm{mg}$ of vitamin $\mathrm{B}_{1}$ , and 90 mg of vitamin C . She can choose between pill 1, which contains 360 IU of vitamin $\mathrm{A}, 2 \mathrm{mg}$ of vitamin $B_{1}$ , and 10 mg of vitamin $C$ , and pill 2 , which contains 300 IU of vitamin $A, 2$ mg of vitamin $B_{1}$ , and 20 mg of vitamin C. Pill 1 costs 104 , and pill 2 costs 304 . How many of each pill should she buy in order to minimize her cost? What is the minimum cost?
She should buy $\square$ of pill 1 and $\square$ of pill 2. The minimum cost is $\$$ $\square$ . (Simplify your answers. Type integers or decimals.)

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Problem 10441

A 21,000-BTU air conditioner requires how many foot-pounds of energy to operate?
A 21,000-BTU air conditioner requires $\square$ foot-pounds of energy to operate. (Simplify your answer.)

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Problem 10442

Español ek and Stone Mountain are schools in different states. The heights of students at Castle Creek have a population mean of 59.7 inches and a standard of 1.4 inches. The heights of students at Stone Mountain have a population mean of 56.7 inches with a standard deviation of 1.5 inches. For each distribution of the heights of students is clearly bell-shaped. student at Castle Creek and is 57 inches tall. Melissa is a student at Stone Mountain and is 53 inches tall. d the $z$ -scores of Maya's height as a student at Castle Creek and Melissa's height as a student at Stone Mountain. und your answers to two decimal places. -score of Maya's height: $\square$ -score of Melissa's height: $\square$ ative to her population, which student is taller? ose the best answer based on the $z$ -scores of the two heights.
Maya Melissa It is unclear which student is taller relative to her population

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Problem 10443

1. Práctica al nivel ¿Cuál es la gráfica de la ecuación $y=-\frac{1}{4} x+2$ ?
El intercepto en $y$ es $\square$ lo que significa que la recta cruza el eje de las $y$ en el punto $\square$ $\square$ Marca este punto.
La pendiente de la recta es negativa; por tanto, $\square$ de izquierda a derecha. Comienza en el intercepto en $y$ . Desciende $\square$ y luego desplázate $\square$ a la derecha. Ahora estás en el punto ( $\square$ $\square$ ). Marca este punto. Dibuja una recta para unir los dos puntos.

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Problem 10444

Whis question: 1 point(\$) possible Submit quiz
Find the volume of the solid generated when the region bounded by $y=3 x$ and $y=6 \sqrt{x}$ is revolved about the $x$ -axis.
The volume of the solid is $\square$ cubic units. (Type an exact answer.)

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Problem 10445

Use the given conversion factor to convert 12 tsp to mL . $\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}$ Enter

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Problem 10446

Researchers wanting to assess level of heel pain associated with a new footwear developed for those with plantar fasciitis. They randomly sample 120 people with a history of plantar fasciitis and 120 people without a history of plantar fasciitis and ask them to wear the shoes and report the level of heel pain (1-10) they experience after walking in the shoes for 2 hours. The average heel pain score for the group with plantar fasciitis was 1.4 and the average heel pain score for the group without plantar fasciitis was 1.2. The Levene's test for equality of variances had a $p$ value of 0.11. You know this means: The researchers should report the $t$ -test results for assuming equal variances The researchers should report the t-test results NOT assuming equal variances The researchers should reject the null hypothesis and report there is a difference in the average heel pain score The researchers should fail to reject the null hypothesis and conclude there is NOT a difference in the average heel pain score

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Problem 10447

Part C: Short Answer Use the diagram on the right. The triangular prisms are congruent. Here is a student's work to determine the surface area of the composite object. Describe any errors and show a correct solution.
Triangular Prisms: (4) $\left(\frac{1}{2}\right)(40)(30)+50(1)(2)$ $+30(1)(2)+40(1)(2)=2640$ Gylinder: (1) $(100)=188.5$

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Problem 10448

The Jurassic Zoo charges $\$9$ for each adult admission and $\$5$ for each child. The total bill for the 189 people from a school trip was $\$1121$ . How many adults and how many children went to the zoo?
There were adults and children on the trip.

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Problem 10449

Ihis question: 1 point(S) possible A data set includes 109 body temperatures of healthy adult humans having a mean of $98.2^{\circ} \mathrm{F}$ and a standard deviation of $0.62^{\circ} \mathrm{F}$ . Construct a $99 \%$ confidence interval estimate of the mean body temperatu humans. What does the sample suggest about the use of $986^{\circ} \mathrm{F}$ as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean $\mu$ ? $\square$ ${ }^{\circ} \mathrm{F}<\mu<$ $\square$ ${ }^{\circ} \mathrm{F}$ (Round to three decimal places as needed.) What does this suggest about the use of $986^{\circ} \mathrm{F}$ as the mean body temperature? A. This suggests that the mean body temperature is higher than $98.6^{\circ} \mathrm{F}$ B. This suggests that the mean body temperature is lower than $98.6^{\circ} \mathrm{F}$ C. This suggests that the mean body temperature could very possibly be $98.6^{\circ} \mathrm{F}$

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Problem 10450

It takes a passenger train 5 hr less time than it takes a freight train to make the trip from Hughesville to Fairland. The passenger train averages 93 km/h, while the freight train averages 62 km/h. Find the distance from Hughesville to Fairland. It is ____ km from Hughesville to Fairland. Question 14, 13.5.7 13.5 Applications Points: 0 of 1

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Problem 10451

$280$ square feet. The fence along three sides is to be made of material that costs $\$4$ dollars per foot, and the material for the fourth side costs $\$16$ dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

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Problem 10452

21 is $30 \%$ of what number?
Round to the nearest whole number.
Enter

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Problem 10453

11 Graph $y = |x|$ and each of the following functions on the same coordinate plane. Identify the type(s) of transformation(s) of the graph of $y = |x|$ that occurs with each of the new functions.
a $y = |x+1|$ b $y = |x| + 1$ c $y = -|x| + 1$

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Problem 10454

Write a function to describe the following scenario.
The temperature of a hot steak starts at $140^{\circ} \mathrm{F}$ and decreases at $5^{\circ} \mathrm{F}$ per minute. What will the temperature be of this steak after a certain number of minutes? $y=[?]-\square x$ $\square$ Enter

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Problem 10455

Gabrielle sold 10 t-shirts, which is 20% of her goal. Label the double number line to represent this situation. 0 T-shirts 0%

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Problem 10456

During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size and thus can be modeled using the uninhibited exponential growth model. At 6:00 AM there were 4,000 bacteria present in the culture. At noon, the number of bacteria grew to 4,800 . How many bacteria will there be at midnight?
There will be about $\square$ bacteria at midnight. (Do not round until the final answer. Then round to the nearest whole number as needed.)

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Problem 10457

Laura (L) walks 15 more miles than Ed (E) in a week. The sum of miles walked is 47 . Find the number of miles each person walks. $L=$ $\square$ $E=$ $\square$

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Problem 10458

Nate must fix at least 25 radios in 40 hours. Vehicle radios ( x ) take him 3 hours to fix and portable radios $(y)$ take him 1 hour to fix.
Complete the inequalities below to represent this situation: $\begin{array}{c} x+y \geq[?] \\ x+y \leq \square \end{array}$ $\square$ $\square$ Enter

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Problem 10459

Dalia flies an ultralight plane with a tailwind to a nearby town in $1/3$ of an hour. On the return trip, she travels the same distance in $3/5$ of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane?
Initial trip: 18 miles $1/3$ hours
Return trip: 18 miles $3/5$ hours
Let $x$ be the average airspeed of the plane. Let $y$ be the average wind speed. Initial trip: $18 = (x + y)\frac{1}{3}$ Return trip: $18 = (x - y)\frac{3}{5}$ Dalia had an average airspeed of miles per hour. The average wind speed was miles per hour.

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Problem 10460

4. (10 pts) A force of $\mathbf{F}=\left\langle 2,3, \frac{1}{2}\right\rangle$ is used to push an object up a hill from point $A$ to point (shown below). How much work is done? Assume the units of force are Newtons and the units distance are meters.

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Problem 10461

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - $a$ , $b$ , $c$ , $d$ - and only one correct answer. What is the probability that she answered both of the problems correctly? Do not round your answer.

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Problem 10462

4 5 6 7 8 10 11 12 13 14 15 Esp
Selecting Council Members The presidents, vice presidents, and secretary-treasurers from each of four classes are eligible for an all-school council. Part: $0 / 2$
Part 1 of 2 (a) How many ways can four officers (president, vice president, secretary and treasurer) be chosen from these representatives if all representatives are eligible to become any of the four officers?
There are $\square$ ways they can be chosen.

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Problem 10463

Write the standard form of the equation of the circle with the given center and radius. Center $(6,3)$ , $r=2$ Type the standard form of the equation of the circle. (Simplify your answer.)

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Problem 10464

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $\$0.95$ each. If the club members buy $6$ bags of pretzels, how much do they pay in all? $\$$

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Problem 10465

4. The graph of a linear relation has a slope of 16.5 and an $x$ -intercept of 121. Determine the $y$ -intercept.

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Problem 10466

$x^{\circ}$ $124^{\circ}$ Side of the triangle below has been extended to form an exterior angle of $124^{\circ}$ . Find the value of $x$ .

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Problem 10467

(1 point) (Exam FM Sample Problem 97) Five deposits of 400 are made into a fund at two-year intervals with the first deposit at the beginning of the first year. The fund earns interest at an annual effective rate of $3 \%$ during the first six years and at an annual effective rate of $5 \%$ thereafter. Calculate the annual effective yield rate eared over the investment period ending at the end of the tenth year.
ANSWER = $\square$ \%

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Problem 10468

The functions of the human resource department are independent of the organization's overall goals. True False

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Problem 10469

4. The rate of decay of a radioactive sample can be expressed by the equation $N=N_{0}\left(\frac{1}{2}\right)^{\frac{t}{\frac{t}{2}}}$ , where $N_{0}$ is the original amount, $t$ is the time passed, and $t \frac{1}{2}$ is the half-life of the sample. N is the amount of sample that remains. Polonium-218 (that is a particular isotope of type of polonium) has a half-life of 3 minutes. a. If the sample contains 25 g of polonium- 218 at time $=0$ , when will the sample contain 16.8 g ? [5] b. How much polonium will remain after 1.0 hr ? [3]

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Problem 10470

2. [-/4 Points] DETAILS MY NOTES AUFBALG8 5.3.011. ASK YOUR TEACHER PRAC Identify each x value and each y value to insert in the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ to find the slope of the line containing $P_1(4, -1)$ and $P_2(6, 9)$ . $y_2 =$ $y_1 =$ $x_2 =$ $x_1 =$ Additional Materials eBook

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Problem 10471

Put these numbers in order from least to greatest. 6.8 8.5 $7 \frac{3}{4}$

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Problem 10472

The answer above is NOT correct. (1 point) (Exam FM Sample Problem 122) Cash flows are 30000 at time 2 (in years), 50000 at time 3; and 10000 at time 4, The annual effective yield rate is $3.25 \%$ . Calculate the Macaulay duration.

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Problem 10473

(1 point) (Exam FM Sample Problem 127) A company owes 7240 and 1810 to be paid at the end of year 4 and year 9 , respectively. The company will set up an investment program to match the duration and the present value of the above obligation using an annual effective interest rate of $5.5 \%$ . The investment program produces asset cash flows of $X$ today and $Y$ in 5 years. Calculate $X$ and determine whether the investment program satisfles the conditions for Redington immunization. (a) $X=$ 1583 $\square$ (b) Does the investment have the Redington immunization?
No

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Problem 10474

A population of fish in a newly dug pond grows according to the equation $P=\frac{6000}{1+5 e^{-0.4 t}}$ where time $t$ is given in years. In how many years will there be 3000 fish in the pond? (Round your answer to two decimal places.) $\square$ years Submit Answer

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Problem 10475

Find the area of the portion of the cone $z = \sqrt{x^2 + y^2}$ that lies over the region between the circle $x^2 + y^2 = 4$ and the ellipse $64x^2 + 9y^2 = 576$ in the xy-plane. (Hint: A formula from geometry states that the area inside the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is $\pi ab$ .)
The area of the region is ______ units squared. (Type an exact answer, using $\pi$ as needed.)

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Problem 10476

Previous Problem Problem List Next Problem (1 point) (Exam FM Sample Problem 199) Miaoqi and Nui entered into a six year interest rate swap on May 5, 2015. The notional amount of the swap was a level 30000 for all six years. The swap has annual settlement periods with the first period starting on May 5, 2015. Under the swap, Miaoqi agreed to pay a variable rate based on the one year spot rate at the beginning of each settlement period. Nui will pay Miaoqi the fixed rate of $7.6 \%$ on each settlement date. On May 5, 2017, the spot interest rate curve was as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline Time & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Spot Rate $6.5 \%$ & $7 \%$ & $7.5 \%$ & $7.75 \%$ & $8.25 \%$ & $8.5 \%$ \\ \hline \end{tabular}
Miaoqi decides that she wants to sell the swap on May 5, 2017. Calculate the market value of the swap on May 5, 2017, from Miaoqids position in the swap.

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Problem 10477

Previous Problem Problem List Next Problem (1 point) (Exam FM Sample Problem 199) Miaoqi and Nui entered into a six year interest rate swap on May 5, 2015. The notional amount of the swap was a level 30000 for all six years. The swap has annual settlement periods with the first period starting on May 5, 2015. Under the swap, Miaoqi agreed to pay a variable rate based on the one year spot rate at the beginning of each settlement period. Nui will pay Miaoqi the fixed rate of $7.6 \%$ on each settlement date. On May 5, 2017, the spot interest rate curve was as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline Time & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Spot Rate $6.5 \%$ & $7 \%$ & $7.5 \%$ & $7.75 \%$ & $8.25 \%$ & $8.5 \%$ \\ \hline \end{tabular}
Miaoqi decides that she wants to sell the swap on May 5, 2017. Calculate the market value of the swap on May 5, 2017, from Miaoqids position in the swap.

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Problem 10478

Choose 1 answer: A The order of amino acids in a protein affects its shape, b function. B Proteins carry out a single function in the cell. C The ways proteins function in the cell help determine an organism's traits.

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Problem 10479

Which statement about the relationship between genes and proteins is true? Choose 1 answer: A The order of nucleotides in a protein determines the order of amino acids in a gene. B The order of nucleotides in a gene determines the order of amino acids in a protein.

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Problem 10480

What network of northern whites and free African Americans who sympathized with runaway slaves, did southern slave holders fear the influence of?
The Underground Railroad The National Freedom Alliance The Social Network The Northern Abolition Network

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Problem 10481

Integrate $G(x,y,z) = z - x$ over the portion of the graph of $z = x + y^2$ that lies above the triangle in the xy-plane having vertices $(0,0,0)$ , $(4,1,0)$ , and $(0,1,0)$ .
Evaluate the integral.
$\iint_S G(x,y,z) \, d\sigma = \boxed{\vphantom{0}}$ (Type an exact answer, using radicals as needed.)

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Problem 10482

The deflection of a cantilevered beam supporting the weight of an advertising sign is given by $y=\frac{-W x^{2}}{6 E}(3 L-x),$ where we have the following $y=$ deflection at a given $x$ location ( m ) $w=$ weight of the sign ( N ) $E=$ modulus of elastiaty $\left(\mathrm{N} / \mathrm{m}^{2}\right)$ $I=$ second moment of area $\left(\mathrm{m}^{4}\right)$ $x=$ distance from the support as shown (m) $L=$ length of the beam (m)
Piot the deflection of a beam with a length of 3 m , the modulus of elasticity of $E=200 \mathrm{GPa}$ , and $I=1.2 \times 10^{6} \mathrm{~mm}^{4}$ for a sign weighing $1,500 \mathrm{~N}$ . (Submit a file with a maximum size of 1 MB.) Choose File, mo file choser $1.000$
Score: 1743 out of 1.6 e Cominert
What is the siope of the defiection of the beam at the wall $(x=0)$ and at the end of the beam where it supports the sign $(x=L)$ ? slope at $x=0$ slope at $x=1$ $\square$ our answer connut be unsenstood or praded. More Information vour arculer carami be underscoad or graded More Information

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Problem 10483

A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.23 centimeters in diameter. The variance of the bolts should be 0.015 . A random sample of 29 bolts has an average diameter of 0.22 cm with a standard deviation of 0.0742 . Can the manufacturer conclude that the bolts vary from the required variance at $\alpha=0.05$ level?
Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.
Answer 2 Points Tables Keypad Keyboard Shortcuts $\begin{array}{l} H_{0}: \square \\ H_{a}: \square \end{array}$

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Problem 10484

History Bookmarks Profiles Tab Window Help BG-249 Wishlist - E Christams scuffers.co dgenuity com/player/
Addition and Subtraction of Polynomials (S Assignment Active
Interpreting the Closure Property
Explain what the following statement means: Polynomials are closed under the operations of addition and subtraction. Provide one addition example and one subtraction example to demonstrate. DONE

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Problem 10485

$\$ 1,050$ will be deposited at the beginning of every 3 months for the next 6 years and 9 months. If interest is $8.82 \%$ compounded monthly, 1) How much will be in the account at maturity? \\square $2) How much of the maturity value is interest?$ \square$ Submit Question

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Problem 10486

Use the exponential decay model, $A=A_{0} e^{k t}$ , to solve the following. The half-life of a certain substance is 17 years. How long will it take for a sample of this substance to decay to $77 \%$ of its original amount?
It will take approximately $\square$ $\square$ for the sample of the substance to decay to $77 \%$ of its original ar (Round the final answer to on values to four decimal places Round all intermediate percent percent per year years

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Problem 10487

Elle a plusieurs options pour exploiter une partie de sa terre.
Elle débute avec une parcelle rectangulaire dont la base est de 3 dam de longueur et de 1 dam de largeur. Elle s'interroge sur des aménagements possibles.
Elle procédera par étape. À la première étape, la longueur de la parcelle augmentera de 2 dam et la largeur de 3 dam.
a) Le tableau suivant met en relation la longueur de la parcelle en fonction de l'étape. Complète les informations manquantes.
Étape (n) | Longueur du rectangle (L(n)) ------- | -------- 1 | 3 2 | 5 3 | 7 4 | 9 5 | 11 6 | 13 7 | 8 |
Préparé par Stéphane Gauthier adaptée d'une tâche de l'IB C:\Users\stgauthier\OneDrive - Centre de services scolaire de Laval\3. Documents 2024-2025\3. Fonctions quadratiques et racines carrées
Mathématiques : technico-sciences B-CD1
b) Décris en mots, deux modèles pour $L(n)$ .
Note : quelqu'un qui n'a pas accès à la table de valeurs devrait être en mesure de la reconstruire parfaitement.

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Problem 10488

Question Watch Video Show Examples
Nachelle and Parker are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nachelle is 500 miles away from the stadium and Parker is 750 miles away from the stadium. Nachelle is driving along the highway at a speed of 25 miles per hour and Parker is driving at speed of 50 miles per hour. Let $N$ represent Nachelle's distance, in miles, away from the stadium $t$ hours after noon. Let $P$ represent Parker's distance, in miles, away from the stadium $t$ hours after noon. Graph each function and determine the interval of hours, $t$ , for which Nachelle is closer to the stadium than Parker.

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Problem 10489

A population of rabbits oscillates 32 above and below average during the year, hitting the lowest value in January ( $t = 0$ ). The average population starts at 950 rabbits and increases by 5% each month. Find an equation for the population, $P$ , in terms of the months since January, $t$ .

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Problem 10490

4. Mary and Joe can complete a job together in 6 hours. Mary can do the job in 14 hours working alone. How long would it take Joe to complete the job if he is working alone?

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Problem 10491

Find the midpoint of the segment with the following endpoints. $(0, 8)$ and $(6, 4)$

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Problem 10492

5. The decay constant for a particular radioactive element is 0.015 when time is measured in years. Find the half-life of this element.

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Problem 10493

3. a) What is the mass of the fish hanging from the spring scale shown here if the scale reads 32 N while in the stationary elevator? ↑ b) What's the acceleration of the elevator and fish when the spring scale reads 49 N?

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Problem 10494

6. Sind Matematik 2. Ödev Fasikîla UYGULAMA Tom Sayilar ve Kesirlerle iglemier
1. Aşağıdaki ifadelerdekì noktalı yerleri uygun sayılarla doldurunuz. a. Mutlak değeri 2 ile 5 arasında olan tam sayılar $\qquad$ tûr. b. Üç basamaklı rakamlan farklı 3 ile tam bōlünebilen en küçük pozitif tam sayı $\qquad$ dir. c. Sayı doğrusunda 4 noktasına 7 birim uzaklıkta olan iki nokta $\qquad$ ve $\qquad$ tam sayilardir. d. Bir sayı ile dörtte birinin farkı o sayının $\qquad$ 'üne eşittir. e. Bir kesri $\frac{2}{5}$ ile bölmek, o sayıyı $\qquad$ ondalık gösterimiyle çarpmak ile aynıdır. f. $\frac{\star}{40}<2$ olduğuna göre $\star$ yerine yazılabilecek en bŭyūk doğal sayı . $\qquad$ 'dur. g.
A : $\frac{7}{11}$ işleminin sonucunun tam sayı olması için $A$ yerine gelebilecek en kûçūk doğal sayI $\qquad$ 'dir. h. 0,375 ondalık gösterimine $\qquad$ kesrini eklediğimizde sonuç en kŭçûk pozitif tam sayı olur. I. $\frac{31}{5}$ 'ten küçük en būyük tam sayı . $\qquad$ 'dir. ab, 375 ondalık gösteriminde virgülü iki basamak sağa kaydırmak için bu sayıyı $\qquad$ ile j. çarpmalıyız. k. 0, a sayısını 0, bc ile çarptığımızda sonuç $\qquad$ ile $\qquad$ arasinda olur. I. 13,075 ondalık gősteriminde basamak değeri en kücuuk olan rakam $\qquad$ 'dir. m. -20 'den küçük en büyŭk tam sayı $\qquad$ 'dir. n. Bir sayıyı 0,01 ile bölmek o sayıyı $\qquad$ doğal sayıs il ile çarpmak ile aynıdır. o. -6 ile 10 sayılarına eşit uzaklikta olan tam sayı $\qquad$ 'dir.

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Problem 10495

On a bicycle, Delfina rides for 5 hours and is 22 miles from her house. After riding for 10 hours, she is 42 miles away.
What is Delfina's rate over the last 5 hours? miles per hour mph

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Problem 10496

D. Indicate how many significant figures there are in each of the following measured values
1. $107.854=$
2. $0.678=$
3. $1.008=$
4. $0.00340=$
5. $700000 \square=$

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Problem 10497

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If $h$ represents the hours of the trip Erin will be driving, then $h \ge 3$ and $h \le 6$ represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality $d < 70h$ . What are the possible hours and distances Erin could be driving?
When graphing this scenario, let $h$ be the horizontal variable and $d$ be the vertical variable.
For the inequality $h \ge 3$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. For the inequality $h \le 6$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. For the inequality $d < 70h$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. One possible solution for Erin is \_\_\_\_\_\_\_\_\_\_.

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Problem 10498

2. Find the rate of change of the area of a square with respect to its edge when the edge is 4 inches long.
3. Find the rate of change of the surface area of a tetrahedron with respect to its edge when the edge measures 4 ft.
4. The height of a right circular cone is always twice its base radius. Find the rate of change of its volume with respect to its height when the radius is 6 cm.
5. Find the rate of change of the perimeter of an isosceles right triangle with respect to its hypotenuse.

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Problem 10499

$g = 1 \text{ kg} \cdot \text{m} \cdot \text{N}$
Exercise 04: A block (M) of mass m is thrown from the top of an inclined plane AB=1m at an angle $\alpha = 45^\circ$ to the horizontal, with initial velocity $V_A = 1 \text{ m/s}$ . 1- Knowing that the coefficient of friction $\mu = 0.5$ on AB. - Demonstrate, what is the nature of the motion on AB? - Calculate the speed of (M) when it reaches point B. 2- Friction forces are considered negligible on the horizontal plane:

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Problem 10500

Find the sum of the first 20 terms of the arithmetic progression (AP) where the first term is 7 and the common difference is 5.
A. 1090 B. 1050 C. 1200 D. 1150

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1 ...102 103 104 105 106 107 108 ...122

Word Problem

Problem 10401

Problem 10402

There is padding on all six sides of the mattress. How many square ft of padding covers the mattress? □\square□ square ft of padding covers the mattress.

Problem 10403

ANOVA is to be used in a research study using two therapy groups. For each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. How many different sample means will there be? a. two b. three c. five d. six

Problem 10404

Complete the table below by filling in the principal quantum number nnn and angular momentum quantum number lll for each electron subshell listed.| subshell | principal quantum number nnn | angular momentum quantum number lll | |---|---|---| | 3d | | | | 3p | | | | 6f | | | | 5f | | |

Problem 10405

Write the electron configuration for a neutral atom of sodium.

Problem 10406

Write the electron configuration for a neutral atom of phosphorus.

Problem 10407

Problem 10408

Find the volume VVV of the solid obtained by rotating the region bounded by the given curves about the specified line.y=x+1y = x + 1y=x+1, y=0y = 0y=0, x=0x = 0x=0, x=2x = 2x=2; about the x-axisV=V =V=

Problem 10409

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of 42∘42^{\circ}42∘ to the top of the building, and an angle of depression of 16.8∘16.8^{\circ}16.8∘ to the base of the tower. Find the height of the tower. \qquad ft

Problem 10410

Problem 10411

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable vvv to represent Vidya's savings.

Problem 10412

4. Suppose that a friend missed class and never learned what 371337^{\frac{1}{3}}3731​ means. a. Use exponent rules your friend would already know to calculate (3713)3\left(37^{\frac{1}{3}}\right)^{3}(3731​)3. b. Explain why this means that 371337^{\frac{1}{3}}3731​ is the cube root of 37 .

Problem 10413

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron fff Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

Problem 10414

If consumers spend 80 cents out of every extra dollar received, theMultiple Choicemultiplier is 5.marginal propensity to save is 0.80.marginal propensity to consume is 0.20.multiplier is 20.

Problem 10415

Problem 10416

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.Grafik: Bitkinin Uzama MiktarıBuna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

Problem 10417

Problem 10418

Problem 10419

Problem 10420

The amount of the promissory note plus the interest earned on the due date is called the a. issuance value b. maturity value c. face value d. interest value

Problem 10421

When the allowance method is used to account for uncollectible accounts, Bad Debt Expense is debited when a. a customer's account becomes past due b. management estimates the amount of uncollectibles c. an account becomes bad and is written off d. a sale is made

Problem 10422

Problem 10423

Чему равен восьмой член арифметической прогрессии 1,1.5,2,2.5,…1,1.5,2,2.5, \ldots1,1.5,2,2.5,… Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

Problem 10424

Use the image to answer the question.2 ft.Ramp up to the house20∘20^\circ20∘Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is 20∘20^\circ20∘, how long does the ramp have to be?(1 point)

Problem 10425

Problem 10426

A survey showed that 4 out of 5 students owr a bicycle. Based on this result, how many of the 800 students in a school own a bicycle?

Problem 10427

c. 24.6 A. Applying a current to a rechargeable battery converts it from ______ cell to ______ cell a. a voltaic; an electrolytic b. an electrolytic; a voltaic c. a Leclanché; a Nernst d. a Nernst; a Leclanché e. a Born cell; a Haber

Problem 10428

The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3 . Tony made 10 baskets. How many baskets did Colin make?

Problem 10429

Problem 10430

تدريب (۲) : هرم رباعي قائم حجمه ۳۲ سم ۳ ، ارتفاعه ٦ سم ، ما طول ضلع قاعدته :

Problem 10431

Note: Figure is not drawn to scaleIf U=3U=3U=3 inches, V=5V=5V=5 inches, W=8W=8W=8 inches, X=6X=6X=6 inches, Y=8Y=8Y=8 inches, and Z=5Z=5Z=5 inches, what is the area of the object? A. 77 square inches B. 64 square inches C. 65 square inches D. 71 square inches

Problem 10432

Problem 10433

Sparx Maths New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1B Calculator not allowedFor each number, decide whether it is prime or not prime: a) 51 b) 87

Problem 10434

.13 بتاريخ 2021/10/20 قام صاحب المحلات بسحب بضاعة بسعر السوق (البيع) بقيمة 3000 دينار

Problem 10435

Note: Figure is not drawn to scale.If x=8x=8x=8 units, y=5y=5y=5 units, and h=3h=3h=3 units, then what is the area of the parallelogram shown above? A. 24 square units B. 26 square units C. 15 square units D. 40 square units

Problem 10436

En el muestreo aleatorio simple la muestra se selecciona a través de un sistema que se aplica después de la selección de un punto aleatorio d Falso Verdadero

Problem 10437

(D) The bromide ion is then larger than the bromine atom.PQ-24. Which ion has the largest radius? (A) Cl−Cl^{-}Cl− (B) F−F^{-}F− (C) K+K^{+}K+ (D) Cu2+Cu^{2+}Cu2+

Problem 10438

How many energy is requie toleft a 167 pound person to 16 feet

Problem 10439

Circle the Correct answer.1- In some schools, students don't have to/must write on their textbooks.2- Twenty years ago the family must/had to move to another country.3- When do we have to/didn't have to finish this homework

Problem 10440

Problem 10441

A 21,000-BTU air conditioner requires how many foot-pounds of energy to operate?A 21,000-BTU air conditioner requires □\square□ foot-pounds of energy to operate. (Simplify your answer.)

Problem 10442

Problem 10443

Problem 10444

Whis question: 1 point(\$) possible Submit quizFind the volume of the solid generated when the region bounded by y=3xy=3 xy=3x and y=6xy=6 \sqrt{x}y=6x​ is revolved about the xxx-axis.The volume of the solid is □\square□ cubic units. (Type an exact answer.)

Problem 10445

Use the given conversion factor to convert 12 tsp to mL . 1tsp=5 mL12tsp=[?]mL\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}1tsp12tsp​=5 mL=[?]mL​ Enter

Problem 10446

Problem 10447

Problem 10448

There is padding on all six sides of the mattress. How many square ft of padding covers the mattress? $\square$ square ft of padding covers the mattress.

Complete the table below by filling in the principal quantum number $n$ and angular momentum quantum number $l$ for each electron subshell listed.
| subshell | principal quantum number $n$ | angular momentum quantum number $l$ | |---|---|---| | 3d | | | | 3p | | | | 6f | | | | 5f | | |

Find the volume $V$ of the solid obtained by rotating the region bounded by the given curves about the specified line.
$y = x + 1$ , $y = 0$ , $x = 0$ , $x = 2$ ; about the x-axis
$V =$

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of $42^{\circ}$ to the top of the building, and an angle of depression of $16.8^{\circ}$ to the base of the tower. Find the height of the tower. $\qquad$ ft

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable $v$ to represent Vidya's savings.

4. Suppose that a friend missed class and never learned what $37^{\frac{1}{3}}$ means. a. Use exponent rules your friend would already know to calculate $\left(37^{\frac{1}{3}}\right)^{3}$ . b. Explain why this means that $37^{\frac{1}{3}}$ is the cube root of 37 .

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron $f$ Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

If consumers spend 80 cents out of every extra dollar received, the
Multiple Choice
multiplier is 5.
marginal propensity to save is 0.80.
marginal propensity to consume is 0.20.
multiplier is 20.

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.
Grafik: Bitkinin Uzama Miktarı
Buna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

Чему равен восьмой член арифметической прогрессии $1,1.5,2,2.5, \ldots$ Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

Use the image to answer the question.
2 ft.
Ramp up to the house
$20^\circ$
Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is $20^\circ$ , how long does the ramp have to be?
(1 point)

c. 24.6 A. Applying a current to a rechargeable battery converts it from cell to cell a. a voltaic; an electrolytic b. an electrolytic; a voltaic c. a Leclanché; a Nernst d. a Nernst; a Leclanché e. a Born cell; a Haber

Note: Figure is not drawn to scale
If $U=3$ inches, $V=5$ inches, $W=8$ inches, $X=6$ inches, $Y=8$ inches, and $Z=5$ inches, what is the area of the object? A. 77 square inches B. 64 square inches C. 65 square inches D. 71 square inches

Sparx Maths New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1B Calculator not allowed
For each number, decide whether it is prime or not prime: a) 51 b) 87

Note: Figure is not drawn to scale.
If $x=8$ units, $y=5$ units, and $h=3$ units, then what is the area of the parallelogram shown above? A. 24 square units B. 26 square units C. 15 square units D. 40 square units

(D) The bromide ion is then larger than the bromine atom.
PQ-24. Which ion has the largest radius? (A) $Cl^{-}$ (B) $F^{-}$ (C) $K^{+}$ (D) $Cu^{2+}$

Circle the Correct answer.
1- In some schools, students don't have to/must write on their textbooks.
2- Twenty years ago the family must/had to move to another country.
3- When do we have to/didn't have to finish this homework

A 21,000-BTU air conditioner requires how many foot-pounds of energy to operate?
A 21,000-BTU air conditioner requires $\square$ foot-pounds of energy to operate. (Simplify your answer.)

Whis question: 1 point(\$) possible Submit quiz
Find the volume of the solid generated when the region bounded by $y=3 x$ and $y=6 \sqrt{x}$ is revolved about the $x$ -axis.
The volume of the solid is $\square$ cubic units. (Type an exact answer.)

Use the given conversion factor to convert 12 tsp to mL . $\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}$ Enter

The Jurassic Zoo charges $\$9$ for each adult admission and $\$5$ for each child. The total bill for the 189 people from a school trip was $\$1121$ . How many adults and how many children went to the zoo?
There were adults and children on the trip.

$280$ square feet. The fence along three sides is to be made of material that costs $\$4$ dollars per foot, and the material for the fourth side costs $\$16$ dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

21 is $30 \%$ of what number?
Round to the nearest whole number.
Enter

Laura (L) walks 15 more miles than Ed (E) in a week. The sum of miles walked is 47 . Find the number of miles each person walks. $L=$ $\square$ $E=$ $\square$

4. (10 pts) A force of $\mathbf{F}=\left\langle 2,3, \frac{1}{2}\right\rangle$ is used to push an object up a hill from point $A$ to point (shown below). How much work is done? Assume the units of force are Newtons and the units distance are meters.

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - $a$ , $b$ , $c$ , $d$ - and only one correct answer. What is the probability that she answered both of the problems correctly? Do not round your answer.

Write the standard form of the equation of the circle with the given center and radius. Center $(6,3)$ , $r=2$ Type the standard form of the equation of the circle. (Simplify your answer.)

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $\$0.95$ each. If the club members buy $6$ bags of pretzels, how much do they pay in all? $\$$

4. The graph of a linear relation has a slope of 16.5 and an $x$ -intercept of 121. Determine the $y$ -intercept.

$x^{\circ}$ $124^{\circ}$ Side of the triangle below has been extended to form an exterior angle of $124^{\circ}$ . Find the value of $x$ .

Put these numbers in order from least to greatest. 6.8 8.5 $7 \frac{3}{4}$

The answer above is NOT correct. (1 point) (Exam FM Sample Problem 122) Cash flows are 30000 at time 2 (in years), 50000 at time 3; and 10000 at time 4, The annual effective yield rate is $3.25 \%$ . Calculate the Macaulay duration.