Suppose $500 is invested at 6% annual interest compounded twice a year. When will the investment be worth $1000.

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Suppose $500 is invested at 6% annual interest compounded twice a year. When will the investment be worth $1000.

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Kim Cúc 3 years 2021-08-27T05:09:36+00:00 1 Answers 14 views 0

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  1. thachthao
    0
    2021-08-27T05:11:09+00:00
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    Answer:

    Step-by-step explanation:

    V=P(1+r/c)^{(ct)}\\ \\ V=P(1+.06/2)^{(2t)}\\ \\ 1000=500(1.03)^{(2t)}\\ \\ (1.03)^{2t}=2\\ \\ 2t=ln2/(ln1.03)\\ \\ t=ln2/(2ln(1.03))\\ \\ t\approx 11.7 years

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