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15 May, 04:48

Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 6% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)

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  1. 15 May, 06:14
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    Step-by-step explanation:

    The formula for continuously compounded interest is

    A = P x e (r x t)

    Where

    A represents the future value of the investment after t years.

    P represents the present value or initial amount invested

    r represents the interest rate

    t represents the time in years for which the investment was made.

    From the information given,

    P = $6000

    r = 6% = 6/100 = 0.06

    t = 15 years

    Therefore,

    A = 6000 x e (0.06 x 15)

    A = 6000 x e (0.9)

    A = $14757.6 to the nearest cent
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