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21 June, 16:40

You deposit $2000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $500 in interest

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  1. 21 June, 16:52
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    t = 6.25 years

    (about 6 years 3 months)

    Equation:

    t = (1/r) (A/P - 1)

    Calculation:

    First, converting R percent to r a decimal

    r = R/100 = 4%/100 = 0.04 per year,

    then, solving our equation

    t = (1/0.04) ((2500/2000) - 1) = 6.25

    t = 6.25 years

    The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
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