What is the value of a 5000investmentafter18years,ifitwasinvestedat49,367.30<

Question

What is the value of a 5000investmentafter18years,ifitwasinvestedat4compoundedcontinuously?1)9,367.30
2) 9,869.393)10,129.08
4) $10,272.17

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RuslanHeatt 4 years 2021-08-05T18:06:59+00:00 2 Answers 19 views 0

Answers ( )

    0
    2021-08-05T18:08:14+00:00

    Step-by-step explanation:

    P(t) = P0 * e^rt

    => P(18) = 5000e(0.0418)=10,272.17. (4)

    0
    2021-08-05T18:08:15+00:00

    Answer:

    D

    Step-by-step explanation:

    Continuous compound is given by the following formula:

    A=Pe^{rt}

    Where A is the ending amount, P is the initial amount, e is Euler’s number, r is the rate, and t is the time in years.

    We have a $5000 investment at 4% or 0.04 for 18 years. Therefore:

    A=5000e^{(0.04)(18)}

    Use a calculator:

    A\approx\$ 10272.17

    Hence, our answer is D.

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