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14 December, 19:00

1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the account value to reach 8200 dollars?

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  1. 14 December, 20:42
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    The time required is about 75 years 3 months

    Step-by-step explanation:

    We know that the simple interest is expressed as

    A = P (1 + rt)

    A = final amount = $8200

    P = initial principal

    : balance=$200

    r = annual interest rate 7.75%

    7.75/100 = 0.0775

    t = time (in years)

    Substituting our data into the expression we have

    8200 = 1200 (1+0.0775*t)

    8200=1200+93t

    93t = 8200-1200

    93t = 7000

    t = 75.27

    The time required to get a total amount, principal plus interest, of $8,200.00 from simple interest on a principal of $1,200.00 at an interest rate of 7.75% per year is 75.27 years (about 75 years 3 months)
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