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4 January, 05:02

Find the balance in the account after 10 years if $2000 is deposited at a rate of 7.5% interest rate compounded continuously.

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  1. 4 January, 05:25
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    Step-by-step explanation:

    The formula for continuously compounded interest is expressed as

    FV = PV x e (i x t)

    where

    FV represents the future value of the investment.

    PV represents the present value of the investment.

    i represents the stated interest rate, t represents time in years,

    e is the mathematical constant approximated as 2.7183

    From the information given,

    t = 10 years

    I = 7.5% = 7.5/100 = 0.075

    PV = 2000

    Therefore

    FV = 2000 x 2.7183 (0.075 x 10)

    FV = $4234
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