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19 January, 15:45

7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to the nearest cent?

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  1. 19 January, 18:14
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    A = $18,326.00

    (assuming simple interest)

    Step-by-step explanation:

    Assuming simple interest, the following formula applies:

    final amount = (principal amount) x [1 + (annual rate) (time elapsed) ]

    or

    A = P (1 + rt)

    in our case,

    P = $7,700

    r = 5.75% = 0.0575

    t = 24 years

    hence,

    A = 7700 [ 1 + (0.0575) (24) ]

    A = 7700 (1 + 1.38)

    A = 7700 x 2.38

    A = $18,326.00
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