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7 June, 06:33

Steve deposited $5,000 in a saving account that pays 4% interest compounded annually. Which equation could be used to find the value of the account after 3 years

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  1. 7 June, 07:15
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    A = P (1+r/n) ^ (nt)

    A = 5000 (1.04) ^ (t)

    Future value A = $5,624.32

    Step-by-step explanation:

    The standard formula for compound interest is given as;

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

    Where;

    A = final amount/value

    P = initial amount/value (principal)

    r = rate yearly

    n = number of times compounded yearly.

    t = time of investment in years

    For this case;

    Since we want to determine the value that will be equivalent to $5,000 in 3years.

    P = $5,000

    t = 3years

    n = 1

    r = 4% = 0.04

    Substituting into equation 1;

    A = 5000 (1.04) ^ (t)

    A = 5000 (1+0.04/1) ^ (1*3)

    A = $5624.32
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