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11 November, 18:14

Jason plans to invest $9,000 in an account at Union Bank. The annual rate is 3.78% compounded continuously. How much does Jason have at the end of 10 years?

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  1. 11 November, 18:57
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    Answer: he would have $13134 at the end of 10 years

    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.

    e is the mathematical constant approximated as 2.7183.

    From the information given,

    P = $9000

    r = 3.79% = 3.78/100 = 0.0378

    t = 10 years

    Therefore,

    A = 9000 x 2.7183^ (0.0378 x 10)

    A = 9000 x 2.7183^ (0.378)

    A = $13134 to the nearest dollar
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