Marcus receives an inheritance of $7,000. He decides to invest this money in a 20-year certificate of deposit (CD) that pays 2.5% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 20 years? Question content area bottom Part 1 Marcus will receive $____ . (Round to the nearest cent.)
Question
Answer:
Use the formula for compound interest:
A = P(1 + r/n)^(nt)
A = the amount of money accumulated after n years, including interest.
P = $7,000.
r = annual interest rate (as a decimal), which is 2.5% or 0.025.
n=12 years
Substitute the values:
A = 7000(1 + 0.025/12)^(12*20)
A β 7000(1 + 0.00208333)^(240)
A β 7000(1.00208333)^240
A β 7000 * 2.03988736
A=11535.04782821748
Answer:
$11,535.05 (rounded to two decimal places)
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