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4 September, 10:33

A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential growth formula. round your answer to the nearest millionth. p=ae^kt

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  1. 4 September, 12:08
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    Using the exponential growth formula P = Ae^kt, we can solve for the missing values.

    Initially, let us solve for the growth factor k, using the values from 1993 and 1999.

    In year 1999:

    P = 99 million

    A = 94 million

    t = 1999 - 1993 = 6

    Substituting the values into the equation:

    99,000,000 = 94,000,000 (e^k (6))

    k = 8.6375x10^-3

    Obtaining the population in 2005 using values from 1999:

    P = ?

    A = 99,000,000

    k = 8.6375x10^-3

    t = 2005 - 1999 = 6

    Substituting the values into the equation:

    P = 99,000,000 (e^ (8.6375x10^-3) (6))

    P = 104,265,957.4

    Approximating to the nearest million, the population in 2005 is 104 million.
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