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14 February, 13:45

an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $220, how much should be in the account after 15 years? The interest rate is fixed at 2.05%.

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  1. 14 February, 15:17
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    The amount that should be in the account after 15 years is $95,321.85

    Step-by-step explanation:

    According to the given data, we have the following:

    monthly amount of $220=R

    interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate = 2.05%/12=0.1708%=0.0017

    t=15years*12=180 months

    In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

    Ap=R (1 - (1+i) ∧-t)

    i

    Ap=220 (1 - (1+0.0017) ∧-180)

    0.0017

    Ap=162,04

    0.0017

    Ap=$95,321.85

    The amount that should be in the account after 15 years is $95,321.85
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