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16 October, 07:41

Convert the equation f (t) = 190 (1.33) ^t to the form f (t) = ae^kt

a=

k=

Give values accurate to three decimal places

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Answers (1)
  1. 16 October, 07:50
    0
    a = 190

    k = 0.285

    Step-by-step explanation:

    f (t) = 190 (1.33) ^t

    At t = 0, f (t) = 190. So a = 190.

    f (t) = 190 e^ (kt)

    Set equal and solve for k:

    190 (1.33) ^t = 190 e^ (kt)

    1.33^t = e^ (kt)

    ln (1.33^t) = kt

    t ln (1.33) = kt

    k = ln (1.33)

    k = 0.285
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