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1 October, 10:54

Determine the future value of a $25000 investment at an annual rate of 4.85% compounded quarterly for 6 years.

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  1. 1 October, 11:22
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    = $ 32,275.00

    Equation:

    A = P (1 + rt)

    Calculation:

    First, converting R percent to r a decimal

    r = R/100 = 4.85%/100 = 0.0485 per year,

    putting time into years for simplicity,

    24 quarters : 4 quarters/year = 6 years,

    then, solving our equation

    A = 25000 (1 + (0.0485 * 6)) = 32275

    A = $ 32,275.00

    The total amount accrued, principal plus interest,

    from simple interest on a principal of $ 25,000.00

    at a rate of 4.85% per year

    for 6 years (24 quarters) is $ 32,275.00.
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