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21 October, 06:21

Recently, More Money 4U offered an annuity that pays 6.6% compouned monthly. If 2,303 is deposited into this annuity every month, how much is in the account after 11 years? How much of this is interest?

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  1. 21 October, 06:28
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    The account will have $10,622,946 and $10,318,950 are interests

    Step-by-step explanation:

    The compound interest formula is:

    Final Capital (FC) = Initial Capital (IC) * [ (1+interest (i)) ]^ (number of periods)

    In this case:

    IC = $2,303

    i=6.6%

    n=11*12=132

    FC = $2,303 * (1+6,6%) ^132

    FC=$2,303 * (4612.65)

    FC=$10,622,946

    If there was no interest, the person who deposited $2,303, would have:

    $2,303*132 = $303,996

    Then, the difference between the FC and $303,996, are interests:

    $10,622,946-$303,996=$10,318,950
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