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14 December, 21:02

There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:

A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)

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  1. 14 December, 23:52
    0
    0.1187

    Step-by-step explanation:

    A = P (1 + k) ^t

    where A is the final amount,

    P is the initial amount,

    k is the monthly growth rate,

    and t is the number of months.

    70 = 50 (1 + k) ^3

    1.4 = (1 + k) ^3

    ∛1.4 = 1 + k

    k = - 1 + ∛1.4

    k = 0.1187
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