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10 July, 17:58

If 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?

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  1. 10 July, 18:16
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    The formula for compound interest is:

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

    Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.

    P=11,100

    r=.031

    n=12 (monthly)

    t=19

    A=11,100 (1+.031/12) ^ (12*19)

    A=11,100 (1+. 002583) ^ (228)

    A=11,100 (1.002583) ^ (228)

    A=11,100 (1.80082)

    A=$19,989.10
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