Exponentials

Problem 901

13. Jane wants to invest $\$ 2000$ at a bank offering three different accounts. Account $A$ earns $1.2 \%$ annual simple interest, Account B earns $1.2 \%$ interest compounded annually, and Account $C$ earns $1.2 \%$ interest compounded continuously. If no other deposits or withdrawals are made, compare the balances of the accounts after each period of time. a.) 1 year b. 2 years c. 5 years
14. Jessen wants to invest $\$ 10,000$ at a bank offering three different accounts. Account $A$ earns $3.1 \%$ annual simple interest, Account B earns $3.1 \%$ interest compounded annually, and Account C earns $3.1 \%$ interest compounded continuously. If no other deposits or withdrawals are made, compare the balances of the accounts after each period of time. a. 1 year b. 5 years c. 10 years

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Problem 902

The graph shows the function $y=q^{*}$ a) Give the coordinates of the point of intersection of the curve with the $y$ -axis. b) Find the value of $q$ . $q=$ I 1 0 ) c) Work out the value of $y$ when $x=10$ $y=\square$

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Problem 903

A recent college graduate has a $\$ 3,500$ balance on a credit card that charges $16.5 \%$ interest, compounded monthly. What monthly payment must be made to pay this balance in two years? A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used. $\$ 17221$ $\$ 171.22$ $\$ 169.90$ $\$ 149.84$

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Problem 904

Name: $\qquad$ Section 2 - B. 2 4) [IC] (/2) Zhen claims that in exponential functions, they act like a parabola, so a vertical stretch by a factor of $a$ will result in the same graph as a horizontal compression by $a$ . Use the functions $f(x)=3(2)^{x}$ and $g(x)=(2)^{3 x}$ to either back up Zhen's claim or reject his claim. Use of the grid provided is optional.

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Problem 905

16. Since January 1980, the population of the city of Brownville has grown according to the mathematical model $y=725,000(1.025)$ t, where $t$ is the number of years since January 1980. What would the population be in 2000? A. $1,187,997$ B. 761,703 C. $1,179,804$ D. $1,520,736$ $\left[\begin{array}{c}-5 \\ 8\end{array}\right] \quad D=\left[\begin{array}{cc}2 & -6 \\ 2 & 3\end{array}\right]$

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Problem 906

Origami is the traditional Japanese art of paper folding. As an introduction to an origami art project an art teacher asks students to try to fold a piece of paper in half as many times as they can. The exponentiol function $f(x)=2^{x}$ can be used to determine the number of layers of paper created based on the number of folds, $x$ . Which statement describes the rate of change of the layers of paper?
The number of loyers increases by a factor of 4 for each additional fold.
The number of loyers increases by 2 for each odditional fold.
The number of loyers increases by 4 for each additional fold.
The number of loyers increases by a foctor of 2 for each additional fold.

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Problem 907

3/17
Caiden deposited $\$ 475$ in an account that pays an interest rate of $3.8 \%$ compounded annually. What will be his balance after 15 years? \ $827.52$ \ $831.10$ $\$ 839.45$ \$846.80

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Problem 908

Find $x$ for the function $f(x)=\frac{9 e^{x}}{e^{x}-2}$ where $e^{x}-2=0$ .

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Problem 909

d) $210=40(1.5)^{x}$

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Problem 910

As a town gets smaller, the population of its high school decreases by $7 \%$ each year. The senior class has 320 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation.
Write an equation to represent this situation. Let $t$ be the number of years before the class will have 100 students. $\square$ (Type an equation using $t$ as the variable. Use integers or decimals for any numbers in the equation.) Solve the equation. $\ln t=$ $\square$ years the senior class will have about 100 students. (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 911

Mitosis is a process of cell reproduction in which one cell divides into two identical cells. $E$ , coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begir with 100 E. coli bacteria, how many will there be in 1 hour? a. 1200 bacteria c. 1500 bacteriá b. 1400 bacteria d. 1600 bacteria
Please select the best answer from the choices provided A B C D

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Problem 912

阵, Complete the table for the function $y=3^{x}$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Now, graph the function.

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Problem 913

Personal Finance Problem LG2 P5-6 Time value As part of your financial planning, you wish to purchase a nem actly 5 years from today. The car you wish to purchase costs $\$ 14,000$ today, 2 , your research indicates that its price will increase by $2 \%$ to $4 \%$ per year overth next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) $2 \%$ perped and (2) $4 \%$ per year. b. How much more expensive will the car be if the rate of inflation is $4 \%$ rathe than $2 \%$ ? c. Estimate the price of the car if inflation is $2 \%$ for the next 2 years and $4 \%$ s. 3 years after that.

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Exponentials

Problem 901

Problem 902

The graph shows the function $y=q^{*}$ a) Give the coordinates of the point of intersection of the curve with the $y$ -axis. b) Find the value of $q$ . $q=$ I 1 0 ) c) Work out the value of $y$ when $x=10$ $y=\square$

Problem 903

Problem 904

Problem 905

Problem 906

Problem 907

3/17
Caiden deposited $\$ 475$ in an account that pays an interest rate of $3.8 \%$ compounded annually. What will be his balance after 15 years? \ $827.52$ \ $831.10$ $\$ 839.45$ \$846.80

Problem 908

Find $x$ for the function $f(x)=\frac{9 e^{x}}{e^{x}-2}$ where $e^{x}-2=0$ .

Problem 909

d) $210=40(1.5)^{x}$

Problem 910

Problem 911

Problem 912

阵, Complete the table for the function $y=3^{x}$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Now, graph the function.

Problem 913

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Exponentials

Problem 901

Problem 902

The graph shows the function y=q∗y=q^{*}y=q∗ a) Give the coordinates of the point of intersection of the curve with the yyy-axis. b) Find the value of qqq. q=q=q= I 1 0 ) c) Work out the value of yyy when x=10x=10x=10 y=□y=\squarey=□

Problem 903

Problem 904

Problem 905

Problem 906

Problem 907

3/17Caiden deposited $475\$ 475$475 in an account that pays an interest rate of 3.8%3.8 \%3.8% compounded annually. What will be his balance after 15 years? \827.52827.52 827.52\831.10 831.10831.10 $839.45\$ 839.45$839.45 \$846.80

Problem 908

Find xxx for the function f(x)=9exex−2f(x)=\frac{9 e^{x}}{e^{x}-2}f(x)=ex−29ex​ where ex−2=0e^{x}-2=0ex−2=0.

Problem 909

d) 210=40(1.5)x210=40(1.5)^{x}210=40(1.5)x

Problem 910

Problem 911

Problem 912

阵, Complete the table for the function y=3xy=3^{x}y=3x. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline-1 & □\square□ \\ \hline 0 & □\square□ \\ \hline 1 & □\square□ \\ \hline 2 & □\square□ \\ \hline \end{tabular}Now, graph the function.

Problem 913

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The graph shows the function $y=q^{*}$ a) Give the coordinates of the point of intersection of the curve with the $y$ -axis. b) Find the value of $q$ . $q=$ I 1 0 ) c) Work out the value of $y$ when $x=10$ $y=\square$

3/17
Caiden deposited $\$ 475$ in an account that pays an interest rate of $3.8 \%$ compounded annually. What will be his balance after 15 years? \ $827.52$ \ $831.10$ $\$ 839.45$ \$846.80

Find $x$ for the function $f(x)=\frac{9 e^{x}}{e^{x}-2}$ where $e^{x}-2=0$ .

d) $210=40(1.5)^{x}$

阵, Complete the table for the function $y=3^{x}$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Now, graph the function.