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11 July, 03:02

Suppose your friend's parents invest $25,000 in an account paying 6% compounded annually. What will the balance be after 9 years?

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  1. 11 July, 03:13
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    The formula is Future value = Investment * (1 + interest/100) ^ (number of periods)

    Then the value after 9 years will be: 25,000 * (1 + 6/100) ^9 = 25,000 * (1.06) ^9 = 42,237 (I rounded to the nearest integer).

    You can deduce that formula if you watch the sequence

    After 1 year: 25,000 + 6% * 25,000 = 25,000 (1.06)

    After 2 years 25,000 (1.06) * (1.06) = 25,000 * (1.06) ^2

    After 3 years 25,000 * (1.06) ^3

    After n years 25,000 * (1.06) ^n

    n = 9 = > 25,000 * (1.06) ^9

    Answer: 42,237 (rounded)
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