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6 August, 00:11

Perry invests $2,832 in a retirement

account with a fixed annual interest rate of

3% compounded 2 times per year. What

will the account balance be after 13 years?

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Answers (1)
  1. 6 August, 00:38
    0
    Perry's account balance after 13 years=$4,170.71

    Step-by-step explanation:

    The account balance after a given amount of time can be expressed as;

    A=P (1+r/n) ^nt

    where;

    A=Future value of investment

    P=Initial value of investment

    r=Annual interest rate

    n=number of times the interest is compounded annually

    t=total period of investment

    In our case;

    P=$2,832

    r=3%=3/100=0.03

    n=2

    t=13 years

    Replacing;

    A=2,832 (1+0.03/2) ^ (2*13)

    A=2,832 (1.015) ^26

    A=4,170.71

    Perry's account balance after 13 years=$4,170.71
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