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19 December, 10:00

13)

Thor invests some money in an account earning 8% interest, compounded continuously. After how many years will

he double his investment? (Use the formla A = Pert and round answer to the nearest tenth.]

A) 6.2 years

B) 7.5 years

C) 8.7 years

D) 9.9 years

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Answers (1)
  1. 19 December, 10:17
    0
    c8.7

    Step-by-step explanation:

    Po*e^ (rt) = 2Po.

    Divide both sides by Po:

    e^rt = 2.

    rt = 0.08t.

    e^0.08t = 2.

    0.08t*Log e = Log 2.

    0.08t = Log2/Log e = 0.693

    t = 8.7 yrs.
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