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8 January, 21:09

Candice deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $5,000?

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  1. 8 January, 21:21
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    Time taken for the amount deposited to grow to $5000 will be found as follows:

    A=P (1+r/100*n) ^nt

    where:

    A=amount

    P=principle

    r=rate

    n=number of terms

    t=time

    thus plugging in our values we have:

    5000=3587.39 = (1+4.2/200) ^2t

    solving for t we have:

    1.393771=1.021^2t

    2t=ln1.393771/ln1.021

    2t=16.111

    t=8.055685 years~8 years
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