Algebra 2 Exponential

Based on the table for the exponential function shown here, determine the initial amount.

• 0

• 1

• 3

• 42

• 1134

Jill invests $4,922 in a savings account with a fixed annual interest rate of 9% compounded continuously. What will the account balance be after 8 years?

• $10,111.92

• $9,715.43

• $9,241.60

• $9,334.48

Wilbur invests $4,234 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 7 years?

• $6,842.46

• $6,316.39

• $5,830.76

• $7,412.35

Stefan invests a sum of money in a savings account with a fixed annual interest rate of 6% compounded continuously. After 5 years, the balance reaches $5,541.17. What was the amount of the initial investment?

• $4,105

• $3,334

• $3,591

• $3,848

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x:

e^x=7

• ln7 = x

• ln⁷ = x

• 7^ln = x

• No solution

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

• 1

• 2

• 3

• 4

You deposit $4000 in an account that pays 2% annual interest compounded quarterly. How long will it take for the balance to reach $6500? Round to the nearest tenth.

• 24.3 years

• 12.3 years

• 18.6 years

• 26.2 years