Asked by Abbie Mulbarger on Apr 26, 2024

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If Murphy puts $45,000 into an investment that earns 12% compounded monthly, and after three years he withdraws $30,000, how much money will the investment be worth seven years after the withdrawal?

A) $79,316
B) $49,506
C) $92,142
D) $69,202
E) $118,517

Compounded Monthly

The method of accruing interest on the initial amount of a loan or deposit, thereby earning interest on the accrued interest, on a monthly basis.

12%

A numerical value representing twelve parts per hundred, often used to denote a percentage rate, such as an interest rate or growth rate.

7 Years

A time period of seven years, often used in the context of loans, investments, or tenure.

  • Comprehend and utilize the principle of fluctuating interest rates over time in a financial setting.
  • Compute the future worth of investments considering designated rates and durations.
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YM
Yostina MaximoosApr 29, 2024
Final Answer :
A
Explanation :
First, calculate the value of the investment after three years using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount ($45,000), r is the annual interest rate (12%, or 0.12), n is the number of times that interest is compounded per year (12), and t is the time the money is invested for in years (3). This gives A = 45000(1 + 0.12/12)^(12*3) = $64,202. After withdrawing $30,000, the remaining amount is $34,202. Then, calculate the value of the remaining amount after seven more years using the same formula, which gives A = 34202(1 + 0.12/12)^(12*7) = $79,316.