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24 August, 06:19

Find the final amount for a $750 investment at 5.25% interest compound semiannually for 25 years

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  1. 24 August, 06:39
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    =$2739.81

    Step-by-step explanation:

    To find the total amount if the interest is compounded, we use the compound interest formula.

    A=P (1+R/100) ⁿ

    A is the amount, P - principal, is the invested amount R is the % interest rate, n is the number if periods.

    If compounded semi-annually, it means we have two periods in 1 year

    The rate is also divided by 2

    Thus 25 years have (25*2) = 50 periods.

    A = 750 (1+5.25/200) ⁵⁰

    =750 (1.02625) ⁵⁰

    =$2739.81
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