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19 May, 07:39

3.10 What will be the amount accumulated by each of these present investments? (a) $5,000 in 5 years at 7% compounded annually. (b) $7,250 in 15 years at 9% compounded annually. (c) $9,000 in 33 years at 6% compounded annually. (d) $12,000 in 8 years at 5.5% compounded annually.

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  1. 19 May, 11:21
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    1) FV = 7012.76

    2) FV = 26408

    3) FV = =61565.31

    4) FV = 18416.24

    Explanation:

    The formula used for calculation of future value for given present investment is given as

    FV = PV (1 + I) ⁿ

    1) for PV = 5000, n = 5 year, I = 7%

    FV = 5000 * (1.07) ^5

    FV = 7012.76

    2) for PV = 7200, n = 15 year, I = 9%

    FV = 7250 * (1.09) ^15

    FV = 26408

    3) for PV = 9000, n = 33 year, I = 6%

    FV = 9000 * (1.06) ^33

    FV = =61565.31

    4) for PV = 12000, n = 8 year, I = 5.5%

    FV = 12000 * (1.055) ^8

    FV = 18416.24
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