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17 November, 16:15

You put $300 at the end of each month in an investment plan that pays 7% interest, compounded monthly. how much will you have after 18 years? round all answers to the nearest cent, when applicable.

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  1. 17 November, 17:20
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    Answer: $129,216.22

    Explanation:

    Given the following;

    Annuity (A) = $300

    Annual rate = 7% = 0.07

    Monthly rate = 0.07:12 = 0.0058333

    Period (n) = 18 years = 216 months

    FVA = How much the annuity (A) invested each month will be worth at a monthly rate of 0.0058333 after 18 years.

    FVA = A * [ (1 + r) ^n - 1] : r

    FVA = 300*[ (1+0.0058333) ^216

    - 1]:0.0058333

    FVA = 300 * [1.0058333^216 - 1] : 0.0058333

    FVA = (300 * 2.512514178331248) : 0.0058333

    FVA = 753.757 : 0.0058333

    FVA = $129,216.22
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