Free Printable Compounding Interest & Finding Inverses

1.

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

a)

$4915.59

b)

$3933.28

c)

$2979.81

d)

$4005.09

2.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded monthly. What will be his balance after 15 years?

a)

$827.52

b)

$839.17

c)

$839.45

d)

$846.80

3.

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

a)

$412,749.79

b)

$529.305.61

c)

$689,546.99

d)

$640,891.53

4.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

5.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

6.

Will the inverse of this function, be a function?

a)

No

b)

Yes

c)

No way to tell

7.

Suppose you are given a table of values. When creating a table for the inverse graph you must...?

a)

Switch the x and y

b)

Solve for x

c)

Plot the coordinates

d)

Potato

8.

Are these inverse functions

a)

no

b)

yes

c)

no way to tell

9.

Find the inverse of $f\left(x\right)=3x+2$

a)

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

b)

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

c)

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

d)

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

10.

Find the inverse of $f\left(x\right)=x^2-4$

a)

$f^{-1}\left(x\right)=\sqrt{x+16}$

b)

$f^{-1}\left(x\right)=\sqrt{x-4}$

c)

$f^{-1}\left(x\right)=\sqrt{x}+4$

d)

$f^{-1}\left(x\right)=\sqrt{x+4}$

11.

Find the inverse of $g\left(x\right)=\left(x-4\right)^2+7$

a)

$g^{-1}\left(x\right)=4-\sqrt{x+7}$ D: $\left[7,\ \infty\right)$

b)

$g^{-1}\left(x\right)=4+\sqrt{x-7}$ D: $\left(-\infty,\ 4\right]$

c)

$g^{-1}\left(x\right)=4-\sqrt{x+7}$ D: $\left[4,\ \infty\right)$

d)

$g^{-1}\left(x\right)=4+\sqrt{x-7}$ D: $\left[7,\ \infty\right)$

12.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

a)

f(x)=350(0.06)^x

b)

f(x)=0.06(350)^x

c)

f(x)=350(1 - 0.06)^x

d)

f(x)=350(1 + 0.06)^x

13.

What is the percent (%) of increase or decrease in the following function?

f(x) = 3000 (1 + 0.4)^x

a)

Decrease by 4%

b)

Increase by 4%

c)

Increase by 40%

d)

Decrease by 40%

14.

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

a)

f(x)= 18,500 (1 + 0.16)^x

b)

f(x)= 0.16 (18,500)^x

c)

f(x)= 18,500 (1 - 0.16)^x

d)

f(x)= 0.84 (18,500)^x

15.

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

a)

$77,318

b)

$41,850

c)

$25,181

d)

The value won't change at all.

16.

The following function represents a bank account.

g(x) = 200(1.25)^x

^{What interest rate did the bank give?}

a)

200%

b)

1.25%

c)

25%

d)

2%

17.

The following function represents a bank account.
g(x) = 200(1.25)^x
What was the initial dollar amount put in the bank?

a)

$200

b)

$1.25

c)

$0.25

d)

$2.00

18.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

19.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

20.

A population of bacteria doubles every 3 hours. If the initial population is 500, what will be the population after 9 hours?

a)

4,000

b)

1,500

c)

2,000

d)

3,000

Compounding Interest & Finding Inverses

Total questions: 20

Worksheet time: 45mins

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