5 pts Question 4 Daniah deposits $4,000 in a savings account at New York State Bank that pays 5.4% interest, compounded monthly. What is the amount of interest at the end of the year?
2. Critical Thinking: Rhoda is saving up money for a down payment on a condominium. She currently has $2571 but knows she can get a loan at a lower interest rate if she can put down $3308. If she invests the $2571 in an account that earns 4.9% annually, compounded monthly, how long will it take Rhoda to accumulate the $3308 ?
Round your answer to two decimal places, if necessary.
Given the following functions:
f(x)=3x2+3x−6g(x)=3x+6 Find each of the values below. Give exact answers.
a. (f+g)(−2)=□
b. (f−g)(3)=□ 15
c. (f⋅g)(2)=□ 120
d. (gf)(4)=□
5 pts Daniah deposits $4,000 in a savings account at New York State Bank that pays 5.4% interest, compounded monthly. What is the APY for this account to the nearest hundredth of a percent?
Guillermo finished 4 math problems. These problems represent 20% of the assigned math problems, as shown in the diagram. What is the total number of math problems Guillermo was assigned?
□ problems
□
NAME DATE PERIOD Lesson 1 Homework Practice
Estimate Products of Fractions
Estimate each product. 1. 31×28 ' 2. 71×20772 4. 111 of 47
(4) 5. 85×23 N 9. 53×92 7. 52 of 37 8. 76 of 51
el, 10. 87×54 11. 1910×87 12. 43×73
13. 276×341 14. 12109×641 15. 483×1772 Estimate the area of each rectangle.
16.
17. 18. SCULPTURE Trevor is using the recipe for sculpture-carving material shown at the right.
a. About how many cups of cement would he need to make 94 batch of the recipe?
b. About how many cups of sand would he need to make
\begin{tabular}{|l|}
\hline \multicolumn{1}{|c|}{ Girostone Recipe } \\
\hline 5 cup vermiculite \\
141 cup cement \\
85 cup sand \\
water to form thick paste \\
\hline
\end{tabular}
176 batches of the recipe?
Course 1 - Chapter 4 Multiply and Divide Fractions
53
Two buildings in a sports complex are shaped and positioned like a portion of the branches of the hyperbola 625x2−225y2=140,625, where x and y are in meters.
(a) How far apart are the buildings at their closest point?
(b) Find the distance d in the figure.
(a) The two buildings are □ meters apart at their closest point.
(Type an integer or a decimal.)
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15 one Dicit DivisoRs
The teacher worked a total of 68 hours one school week (five days). She worked the same amount of time every day except for Thursday when she worked extra (your remainder). How many hours did she work each day? How many hours did she work Thursday?
Question 24 Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
\\square(b)Findtheamountintheaccountattheendof2years.$\square$
Manuel deposit \5,300intoabankaccountforsevenandahalfyears.Hecomparestwodifferentoptions.Option1willpay6.4 \%interest,compoundedsemiannually.Option2willpay6.4 \%interest,compoundedcontinuously.Manueldeposita\5.300 dólares en una cuenta bancaria durante siete años y medio. Compara dos opciones diferentes. La opción 1 pagará un interés del 6.4%, compuesto semestralmente. La opción 2 pagará un interés del 6.4%, compuesto continuamente. What is the ending balance of Option 1?
¿Cuál es el saldo final de la Opción 1? □
What is the ending balance of Option 2?
¿Cuál es el saldo final de la Opción 2? □
How much interest does Option 1 pay?
¿Cuánto interés paga la opción 1? □
How much interest does Option 2 pay?
Imagine you need to purchase a laptop bag for your 14 -inch laptop. The only problem is you don't have your laptop with you, and it sure would be frustrating to buy a bag only to realize that your laptop doesn't quite fit. You recall laptop computers are measured according to the diagonals of their screens, and you remember your 14 -inch laptop has a screen that is 8 inches tall. How wide is the screen? Exact Answer (written as a simpified radical): □ in. Approximate (decimal) Answer: □ in. Give your approximate answer accurate to 2 decimal places.
Submit Answer 14. [0/1 Points] DETAILS
MY NOTES
LARPCALC11 8.2.019.
Evaluate the expression.
5([−200312]−[521−8−20])□□□□□⇒⇀
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weBwork b - Iopics 10 - 12: Problem 3
(1 point) Consider the function f(x) whose second derivative is f′′(x)=4x+7sin(x). If f(0)=4 and f′(0)=3, what is f(x) ? Answer: □
Tammy's take-home pay is $800 a month. 7% of her take-home pay is spent on her cell phone bill. How much is Tammy's monthly cell phone bill?
A. $109
B. $69.99
C. \56D.\76
A cylinder with a movable piston contains gas at a temperature of 24.3∘C, a volume of 2.09m3, and an absolute pressure of 13700 Pa . What will be its final temperature if the gas is compressed to 0.34m3 and the absolute pressure increases to 63350 Pa ? Answer in units of ∘C.
A 10 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth.
x=
Question Help:
Video
Solve the following SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two
A=95∘,a=14,b=28 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. There is only one possible solution for the triangle. The measurements fo itaining angles B,C and side c a B=□∘,C=□∘,c=□.
□
(Type an integer or a decimal rounded to the nearest tenth as needed.)
B. There are two possible solutions for the triangle. The measurements for the solution with the smaller side length c are as follows.
B1=□∘,C1=□∘,c1=□□□
The measurements for the solution with the larger side length c are as follows.
B2=□∘,c2=□∘,c2=□□□□
(Type an integer or a decimal rounded to the nearest tenth as needed.)
C. There are no possible solutions for the triangle.
Select the correct answer. In a right triangle, if ∠θ=39∘ and the side adjacent to ∠θ is equal to 12.0 centimeters, what is the approximate length of the opposite side?
A. 7.6 centimeters
B. 9.3 centimeters
C. 9.7 centimeters
D. 14.8 centimeters
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.2 inches, and standard deviation of 3.3 inches. What is the probability that the height of a randomly chosen child is between 54.95 and 58.85 inches? Do not round until you get your your final answer, and then round to 3 decimal places.
Type the correct answer in the box. Round your answer to the nearest integer. A train traveled a distance of 1 mile, or 5,280 feet, while climbing a hill at an angle of 5∘. The vertical height that the train climbed is approximately □ feet.
15. Solve the equation in the real number system.
x4−2x3+6x2−18x−27=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is □ ß.
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once.)
B. The solution set is ∅.
A population of values has an unknown distribution with μ=81.2 and σ=69. You intend to draw a random sample of size n=248. What is the mean of the distribution of sample means?
μxˉ=□ (Please enter an exact answer.) What is the standard deviation of the distribution of sample means?
σxˉ=□ (Please report your answer accurate to 2 decimal places.)
iplete each statement.
Directions: Calculate the dosage and shade in the dosage on the syringe where provided. 1. Order: Regular Humulin Insulin U-100 12 units subcut stat Available:
a. What will you administer using this syringe? Shade in the appropriate dosage on the syringe.
b. What will you administer using this syringe? Shade in the appropriate dosage on the syringe.
4) Aşağıda verilen daire grafiği bir giyim mağazasında satılan 240 adet ơrünün dağılımını, sâtun grafiği ise eld len gelirin ürün çeșidine göre dağılımını gơstermektedir. Graflk: Satilan Ürün Adetleri
Graflk: Satılan Ūründen Elde Edilen Gelir Yukarida verllen bllgllere göre mağazadan blr adet gōmlek ve pantolon alan blr kIṣl kaç Iira ōdemlṣ
A) 100
B) 150
C) 200
D) 250∘
6.
IHRACAT RAKAMLARI
lem 2.3
Jamar's class painted 50 square feet of a mural using 4 cans 0 paint. On the previous screen, you said that Jamar's class could paint 12.5 square feet per can of paint and use 0.08 cans per square foot of the mural. They want to paint a total of 310 square feet. How many cans of paint will they need?
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 53.4 for a sample of size 714 and standard deviation 17.2 . Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
□<μ<□
Answer should be obtained without any preliminary rounding.
An artiot is hired to create an art display for the interior of a city building. The deplay is to span a total width of 11.5 yd. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrat has a width of 46 in. How many portraits will be used in the display? First fill in the blanks on the left side of the equation using three of the ratios shomn. Then write your anewer on the right side of the equation.
At the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50. What does mac and cheese cost per pound?
□
How much mac and cheese does he get per dollar?
□ How much mac and cheese could Abdullah buy for $20 ?
□
Submit
Question 9 of 19, Step 1 of 1
5/19
Correct Find the mean of the following data set. Assume the data set is a sample. Round your answer to the nearest hundredth, if necessary.
11,24,7,13,17,14,14,20,19,19,18 Answer.
Question 2 of 6 Austin received an invoice for $5,000 that had payment terms of $4/15n/30. He made a partial payment of $2,500 during the discount period.
a. Calculate the amount credited.
□
Round to the nearest cent
b. Calculate the balance on the invoice after the partial payment was made.
□
Round to the nearest cent
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the
log4(x+11)−log4(x−4)=2 Rewrite the given equation without logarithms. Do not solve for x.
x−4x+11=16 Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to cor
A. The solution set is □
(Simplify your answer. Use a comma to separate answers as needed.)
B. There are infinitely many solutions.
C. There is no solution.
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact
ln(x−5)+ln(x+2)=ln(x−14) Rewrite the given equation without logarithms. Do not solve for x.
(x−5)(x+2)=x−14 Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is □ 3.
(Simplify your answer. Use a comma to separate answers as needed.)
B. There are infinitely many solutions.
C. There is no solution.
A computer assembly firm purchases computer parts at $245 per computer. The operating expenses are 28% on cost and rate of markup is 50% on cost.
a. What is the selling price of each computer?
□
Round to the nearest cent
b. What is the operating profit per computer?
□
Round to the nearest cent
Solve the following inequality.
3x+7<31 Select the correct choice below and fill in the answer box to complete your choice.
A. The solution set is {x∣x⟩□ \}.
B. The solution set is {x∣x<□ \}.
C. The solution set is {x∣x≤□ \}.
D. The solution set is {x∣x≥□ \}.
The township of Pee Pee, Ohio has a population of 7,500 people. Recently an outbreak of Cholera was documented for the first three months of 2021. In January, 1500 of the population contracted Cholera, in February 500 more residents contracted Cholera, and in March 100 residents contracted Cholera. No deaths were reported from the outbreak! 1. What is the initial prevalence? 2. What is the overall prevalence? 3. What was Jan's incidence? 4. What was Feb.'s incidence? 5. What was March's incidence?
Carlton holds undeveloped land for investment. His adjusted basis in the land is $114,600, and the FMV is $191,000. On November 1 . 2023, he exchanges this land for land owned by his son, who is 31 years old. The appraised value of his son's land is $184,000 with a basis of $170,000. Required:
a. Calculate Carlton's realized and recognized gain or loss from the exchange with his son and on Carlton's subsequent sale of the land to a real estate agent on July 19, 2024, for \$231,500.
b1. Calculate Carlton's realized and recognized gain or loss from the exchange with his son if Carlton does not sell the land received from his son, but his son sells the land received from Carlton on July 19, 2024.
b2. Calculate Carlton's basis for the land on November 1, 2023, and July 19, 2024 if Carlton does not sell the land received from his son, but his son sells the land received from Carlton on July 19, 2024.
c. What could Carlton do to avoid any recognition of gain associated with the first exchange prior to his sale of the land? Complete this question by entering your answers in the tabs below.
\begin{tabular}{|l|l|l|l|}
\hline ReqA & Req B1 & Req B2 & Req C \\
\hline
\end{tabular} Calculate Carlton's realized and recognized gain or loss from the exchange with his son and on Carlton's subsequent sale of the land to a real estate agent on July 19, 2024, for \$231,500.
Note: If no gain or loss is recognized, select "No gain or loss.
\begin{tabular}{|l|l|l|}
\hline \\
\hline & Amount \\
\hline
\end{tabular}
11) 0.7515 moles of nitrogen gas and 0.1135 moles of methane gas are placed in a 171.6 ml container at 20.8∘C. What is the partial pressure (atm) of nitrogen gas?
A) 1.14
B) 0.473
C) 16.0
D) 106
E) 226
Use scientific notation to determine which of these numbers has the greatest value: 654,987,034;645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place. (1 point)
Greenville County, South Carolina, has 396,183 adult residents, of which 80,987 are 65 years or older. A survey wants to contact n=689 residents. These are 2018 population counts, found online
at datausa.io/profile/geo/greenville-county-sc.
Find p, the proportion of Greenville county adult residents who are 65 years or older. Give your answer to four decimal places.
p=□
Question 4 Score on last try: 0.4 of 1 pts. See Details for more.
Next question You can retry this question below Fill in the missing values for this ANOVA summary table:
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline & S.S. & \multicolumn{2}{|c|}{d.f.} & & M.S. & F \\
\hline Between & & 7 & ✓ & & & 3.353 \\
\hline Within & 2325 & 93 & ✓ & 2 & & \\
\hline TOTAL & & 100 & & & & \\
\hline
\end{tabular} Submit Question
Cheese production in a country is currently growing at a rate of 4% per year. The equation y=8.3(1.04)x models the cheese production in the country from 2003 to 2009. In this equation, y is the amount of cheese produced, in billions of pounds, and x represents the number of years after 2003.
a. Estimate the total cheese production in the country in 2007.
b. Assuming this equation continues to be valid in the future, use the equation to predict the total amount of cheese produced in the country in 2016.
a. The total cheese production in the country in 2007 was about 9.7 billions of pounds.
(Round to the nearest tenth as needed.)
b. The total cheese production in the country in 2016 will be about □ billions of pounds.
(Round to the nearest tenth as needed.)
Solve the following system of equations by the elimination method. Check the solution(s).
{7x−y=34x+y=6 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.)
- The system has a single solution. The graphs intersect at the point □
The system is inconsistent and has no solutions.
There are infinitely many solutions and the equations are dependent.
Solve the following system of equations by the elimination method. Check the solution(s).
{2x−y=3x+9y=68 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.)
- The system has a single solution. The graphs intersect at the point □
The system is inconsistent and has no solutions.
There are infinitely many solutions and the equations are dependent.
Lewis owns 200 shares of stock in Modlin Corporation. His adjusted basis for the stock is $185,250. On December 15,2023, he sells the stock for $173,500. He purchases 200 shares of Modlin Corporation stock on January 8, 2024, for \$173,500. Required:
a. What are Lewis's realized and recognized gain or loss on the sale?
b. What is Lewis's adjusted basis for the 200 shares purchased on January 8, 2024?
c. How would your answers in parts (a) and (b) change if he purchased only 100 shares for \$107,800 in January? Note: For all requirements, if no gain or loss is recognized, select "No gain or loss".
\begin{tabular}{|l|l|l|}
\hline & & Amount \\
\hline a. & & \\
\hline a. & & \\
\hline b. & Adjusted basis of shares & \\
\hline c. & & \\
\hline c. & & \\
\hline c. & Adjusted basis of shares & \\
\hline
\end{tabular}
A 2.00 L container is filled with Ar(g) at 752 mmHg and 35∘C. A 0.728 g sample of C6H6 vapor is then added.
a) What is the total pressure in the container?
(b) What is the partial pressure of Ar and of C6H6 ?
11.6 Homework: Systems of Nonlinear Equations
Score: 2.75/10
Answered: 2/10
Question 4 Solve the system by the substitution method.
{xy=303x−y=9 Select the correct cheice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed.
- The solution(s) is/are □
There is no solution.
The number of bacteria P(h) in a certain population increases according to the following function, where time h is measured in hours.
P(h)=2700e0.09h How many hours will it take for the number of bacteria to reach 3200 ?
Round your answer to the nearest tenth, and do not round any intermediate computations.
hours
Solve the system. Use any method you wish.
{y=−x(x−17.5)2+y2=81.25 What is the solution?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using radicals as needed.
- The solution(s) is/are □
There are no solutions.
Question Help: □ Video
Solve the system by the method of your choice.
Hint: Let u=x21 and v=y21.
{x23−y21=−1x24+y25=24 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using fractions as needed.
- The solution(s) is/are □
There is no solution.
(9) If : cos220∘+θ=sin240∘+θ,0∘<θ<90∘ then θ=
(a) 60∘
(b) 45∘
(c) 30∘
(d) 20∘
(10) If the ratio between areas of two similar triangles equals 9:25 and the pe the smaller triangle is 60 cm then the perimeter of the greater triangle equals
(a) 60
(b) 80
(c) 100
(d) 120