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22 July, 13:41

Tameshia deposits $5500 in her retirement account every year. If her account pays an average of 6% interest and she makes 38 deposits before she retires, how much money can she withdraw in 20 equal payments beginning one year after her last deposit?

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  1. 22 July, 16:40
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    Each equal witdrawal = $37,373.66

    Explanation:

    Giving the following information:

    Tameshia deposits $5500 in her retirement account every year.

    Her account pays an average of 6% interest and she makes 38 deposits before she retires.

    First, we need to calculate the final value of the 38 deposits. We will use the following formula:

    FV = {A*[ (1+i) ^n-1]}/i

    A = annual deposit = 5,500

    i = 0.06

    n=38

    FV = {5,500*[ (1.06^38) - 1]}/0.06 = $747,473.13

    20 withdrawals:

    747,473.13/20 = $37,373.66
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