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13 October, 00:13

You invest $500 in an account that has a annual interest rate of 8%, compounded weekly for 12 years. What is the equivalent interest rate and how many times will the money be compounded? How much will you have?

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  1. 13 October, 00:37
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    8% annual interest rate when compounded weekly =

    (1 +.08 / 52) ^52 = 1.00153846153846154 ^52 = 1.08322047419671 =

    8.322047419671% equivalent interest rate

    In 12 years this will be compounded 624 times

    12 year Total = 500 * (1.08322047419671) ^12 =

    1,304.8852611583 =

    1,304.89 (rounded)
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