Deck 16: Exponential and Logarithmic Equations

Question 1

Evaluate: 5-1.2

A)-6
B)0.145
C)-6.899
D)2.44

Answer 1

B

Question 2

The formula for finding compound interest is where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $10,000, the rate is 12%, the compounds each year is 12 (monthly), and the
number of years is 6.

Answer 2

$20,470.99

Question 3

A)$9,058.80
B)$1,795.52
C)$1,552.78
D)$1,742.50

Answer 3

D

Question 4

The formula for finding the monthly payment for an amortized loan is:

where M is the monthly payment, R is the interest rate PER MONTH, and N is the number of months. Find the monthly payment on a home loan of $100,000 at 6% for 30 years.

Question 5

Evaluate: e-5

A)1
B)-148.4131591
C)1.221402758
D)0.006737947

Question 6

A)$6,554.47
B)$26,217.88
C)$13,108.94
D)$3,277.24

Question 7

Evaluate:

A) -32
B) 32
C)
D)

Question 8

A)$334.56
B)$1,325.00
C)$8,246.92
D)$337.21

Question 9

Charlie invested $2400 at an interest rate of 5% for 5 years, where it was compounded continuously. If A = Peni, calculate the accumulated amount.

A)$12,326.64
B)$3,081.66
C)$6,163.32
D)$24,653.29

Question 10

Using the formula , find the interest on an investment of $1200, at an interest rate of 12% for 5 years, if the interest is compounded quarterly.

Question 11

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = # of years, and i = interest rate per year. Let P = 200, I = 0.06, and n = 4, then find A.

A)$254.42
B)$508.50
C)$2034.00
D)$1,017.00

Question 12

A)$1,050.00
B)$525.31
C)$18,000.00
D)$551.25

Question 13

A suburb city presently has a population of 250,000 people. In 25 years, what would its estimated population be if P = Poe0.02t?

A)1,648,721
B)3,297,443
C)824,361
D)412,180

Question 14

The formula for finding the monthly payment for an amortized loan is:
, where M is the monthly payment, R is the interest rate PER MONTH, and N is the number of months. Find the monthly payment on a car loan of $10,000 at 9% for 3 years.

Question 15

Evaluate:

A)
B)
C) 8
D) -8

Question 16

The formula for finding compound interest is where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $8,000, the rate is 6%, the compounds each year is 2 (semi-annually), and the
number of years is 12.

Question 17

Question 18

Question 19

A)$3,628.04
B)$20,300.00
C)$16,543.61
D)$3,612.22

Question 20

A)$636.82
B)$12,736.36
C)$6,368.18
D)$25,472.73

Question 21

A suburb city presently has a population of 100,000 people. In 25 years, what would its estimated population be if

A)164,872
B)1,318,977
C)329,744
D)659,489

Question 22

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = number of years, and i = interest rate per year. Let P = 400, I = 0.05, and n = 3, then find A.

A)$1,858.93
B)$3717.87
C)$929.47
D)$464.73

Question 23

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $4,500 is compounded continuously for 6 years at 7.5% per year.

Question 24

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $1,500 is compounded continuously for 5 years at 6% per year.

Question 25

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $10,000 is compounded continuously for 3 years at 8% per year.

Question 26

Nancy invested $1800 at an interest rate of 6% for 4 years, where it was compounded continuously. If A = Peni, calculate the accumulated amount.

A)$2,288.25
B)$4,576.50
C)$18,305.99
D)$9,152.99

Question 27

Solve for

A)x = 2
B)x = 16,810
C)x = -2
D)x = 8

Question 28

A)20.1
B)0.0498
C)0.001
D)0.125

Question 29

Solve for x:

Question 30

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = number of years, and i = interest rate per year. Let P = 1000, I = 0.1, and n = 5, then find A.

A)$13,189.77
B)$3297.44
C)$6594.89
D)$1,648.72

Question 31

Solve for

A)x = 2
B)x = -3
C)x = 0
D)x = 3

Question 32

A)1.9801
B)0.9900
C)3.9602
D)7.9204

Question 33

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = # of years, and i = interest rate per year. Find the compound amount of an investment of $2,500 at an interest rate of 10% for 2 years if it is compounded continuously.

A)$3,000.00
B)$3,053.51
C)$4,023.59
D)$3,025.00

Question 34

The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $2500 at an interest rate of 10% for 2 years if it is compounded continuously.

A)$3,000.00
B)$3,025.00
C)$4,023.59
D)$3,053.51

Question 35

The formula A = Peni can also be used for exponential growth and decay applications. Use the formula to find the resulting amount from an original 52 g of a decomposing substance if it decomposes at a rate of 12% per century for 10 centuries.

A)824.1 g
B)15.7 g
C)3.3 g
D)172.6 g

Question 36

Solve for x:

Question 37

Solve for

Question 38

Evaluate:

A)x = 56
B)x = 7
C)x = 8
D)x = 11.3137

Question 39

A)0.135
B)100
C)7.38
D)0.001

Question 40

The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, P is the principal, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $1,000 at an interest rate of 8% for 20 years if it is compounded continuously.

A)$4,953.03
B)$470.00
C)$39,810.72
D)$4,660.96

Question 41

Solve for

A)x = -2
B)x = 0
C)x = -3
D)x = 2

Question 42

Solve for

A)x = 2
B)x = 1
C)x = -5
D)x = -4

Question 43

Solve for

A)x = 5
B)x = -2
C)x = 2
D)x = -5

Question 44

Solve for x:

Question 45

Solve for

A)x = -7
B)x = 0
C)x = -8
D)x = 7

Question 46

Solve for

A)x = 2
B)x = 6
C)x = -2
D)x = -5

Question 47

Solve for

A)x = 0
B)x = -6
C)x = 5
D)x = 6