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27 August, 14:19

2) Amanda invests $6,540 in a retirement

account with a fixed annual interest rate of

5% compounded 6 times per year. What will

the account balance be after 20 years?

A) $16,031.88 B) $17,704.05

C) $15,329.01 D) $16,844.10

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Answers (1)
  1. 27 August, 14:40
    0
    B) $17,704.05

    Step-by-step explanation:

    20 years later is a time in the future so you use Future value formula;

    FV = PV * (1+r) ^t

    where PV = Amount invested in the present = $6,540

    r = discount rate = (5% / 6) = 0.833% or 0.00833

    t = total duration = 20 * 6 = 120

    Next, plug in the numbers into the formula;

    =6,540 * (1+0.00833) ^120

    =6,540 * 2.707041491

    = 17,704.05
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