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30 April, 22:21

3. March deposited money into an account in which interest is compounded quarterly at a rate of 3.3%. How much did he deposit if the total amount in his account after 21 months was $4369.20, and he made no other deposits or withdrawals?

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  1. 1 May, 00:29
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    = $ 4344.05

    Step-by-step explanation:

    Using the formula

    A = P (1 + r/n) ^nt

    Where A is the amount accumulated, P is the principal amount, n is the number of interest periods, t is the time taken in years.

    A = $4369.20

    r = 0.033

    n = 4

    t = 21/12

    Therefore;

    $4369.20 = P (1 + 0.033/4) ^ (21/12*4)

    $4369.20 = P (1.000825) ^7

    $4369.20 = 1.005789 P

    P = $4369.20/1.005789

    = $ 4344.05
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