Quiz about Exponential Functions (Mixed Practice)

Question 1

$9000 is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years, to the nearest cent?

Accepted Answer

$34494.79

Answer

$17565.02

Answer

$9000.00

Answer

$32328.41

Question 2

A town has a population of 10000 and grows at 2.5% every year. What will be the population after 7 years, to the nearest whole number?

Accepted Answer

11887 people

Answer

9981 people

Answer

10591 people

Answer

12437 people

Question 3

An element with mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest 10th of a gram?

Accepted Answer

182.8 grams

Answer

235.7 grams

Answer

191.5 grams

Answer

112.1 grams

Question 4

A new car is purchased for $15500. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 6 years?

Accepted Answer

$9709.17

Answer

$8653.97

Answer

$14381.19

Answer

$10225.36

Question 5

An investment of $2280 is placed into an interest bearing account with an annual interest rate of 3.375%. The interest is compounded weekly. What is the value of the investment after 30 months?

Accepted Answer

$2480.66

Answer

$2927.28

Answer

$2520.75

Answer

$2397.24

Question 6

In 1989, an investment of $36000 was placed into an interest bearing account with an annual interest rate of 4%. The interest has been compounding daily up until 2023. What is the value of the investment?

Accepted Answer

$140,252.51

Answer

$146,002.74

Answer

$135,879.56

Answer

$137,716.23

Question 7

Owen is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Owen need to invest, to the nearest hundred dollars, for the value of the account to reach $122,000 in 14 years?

Accepted Answer

$54900

Answer

$55000

Answer

$54927.88

Answer

$54000

Question 8

Khloe invested $160 in an account paying an interest rate of 5.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?

Accepted Answer

$420

Answer

$422

Answer

$421

Answer

$421.65

Question 9

Nathaniel invested $2,900 in an account paying an interest rate of 5.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?

Accepted Answer

$5252.53

Answer

$5352.52

Answer

$5253.52

Answer

$5252.00

Question 10

Simplify $$\frac{12e^6}{4e^3}$$

Accepted Answer

$$3e^3$$

Answer

$$8e^3$$

Answer

$$3e^9$$

Answer

$$8e^9$$

Question 11

Simplify $$5e^4\cdot7e^{-2}$$

Accepted Answer

$$35e^2$$

Answer

$$35e^{-8}$$

Answer

$$12e^2$$

Answer

$$12e^{-8}$$

Question 12

Simplify $$\left(7e^{-6x}\right)^2$$

Accepted Answer

$$\frac{49}{e^{12x}}$$

Answer

$$14e^{-4x}$$

Answer

$$49e^{-4x}$$

Answer

$$14e^{-12x}$$

Question 13

$$f\left(x\right)\ =\ 2\left(\frac{1}{2}\right)^{x+1}-2$$

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Question 14

$$f\left(x\right)\ =\ \frac{1}{4}\left(3\right)^{x-2}+5$$

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 15

$$f\left(x\right)\ =\ \frac{2}{3}\left(e\right)^{2.5\left(x-1\right)}$$

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 16

$$f\left(x\right)\ =\ 4\left(e\right)^{-0.0003x}+2$$

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Exponential Functions (Mixed Practice)

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