Exponents and Logarithms Quiz

Kayla invests $4,458 in a retirement account with a fixed annual interest rate of 7% compounded 2 times per year. Which function gives the amount of money after t years?

• A(t) = 4458(1+0.07/2)^2t

• A(t) = 4458(1+0.07)^t

• A(t) = 4458(1+0.07/12)^12t

• A(t) = 4458e^0.07t

Kayla invests $4,458 in a retirement account with a fixed annual interest rate of 7% compounded 2 times per year. What will the account balance be after 19 years?

• $16476.82

• $16122.48

• $58307.39

• $8570.51

Julio invests $6,149 in a savings account with a fixed annual interest rate of 5% compounded continuously. Which function gives you the value of the account after t years?

• A(t) = 6149(1+0.05/4)^4t

• A(t) = 6149e^0.05t

• A(t) = 6149(1+0.05)^t

• A(t) = 6149(1+0.05)^4t

Julio invests $6,149 in a savings account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 7 years?

• $8725.85

• $8652.26

• $24104.87

• $6464.27

Daniel invests a sum of money in a retirement account with a fixed annual interest rate of 6% compounded 3 times per year. After 14 years, the balance reaches $7,959.95. What was the amount of the initial investment?

• $3465.00

• $535.77

• $3520.69

• $18285.95

Shawna invests $4,227 in a retirement account with a fixed annual interest rate compounded continuously. After 19 years, the balance reaches $19,326.80. What is the interest rate of the account?

• 8%

• 5%

• 6%

• 3%

FULLY Expand the logarithm given

• 6 log₉ a + 3 log₉ b

• 18(log₉ a)(log₉ b)

• log₆ a⁹ + log₃ b⁹

• log₉ a⁶ - log₉ b³

FULLY compress the given Logarithm

• log₈ (6⁶/11¹²)

• log₈ 6⁶(log₈ 11¹²)

• log₈ 36 - log₈ 132

• log₆ (8⁶/8¹²)