Exponential Equations and Applications

Mr. T invested $15,000 in an account that pays 5% interest compounding continuously, how much is in the account after 5 years? 

• $15,500.50

• $19,260.38

• $19,260.40

• $21,500.25

What does the r stand for in this formula?

• Rate as a percent

• Rate as a decimal

• number of times interest is compounded

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

• 1

• 2

• 3

• 4

You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Sumalee invests $6,227 in a savings account with a

fixed annual interest rate of 8% compounded continuously. What will the account balance be after 6 years?

• $10,685.57

• $11,011.00

• $10,369.77

• $10,063.30

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54