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14 April, 00:24

A country's population in 1995 was 175 million. In 2000 it was 181 million. Estimate the population in 2020 using exponential growth formula. Round you answer to the nearest million

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  1. 14 April, 00:29
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    First find the rate of growth

    The formula is

    P=Ae^rt

    P 181 million

    A 175 million

    E constant

    R rate of growth?

    T time 2,000-1,995=5 years

    Solve the formula for r

    R = (log (p/A) : log (e)) : t

    R = (log (181:175) : log (e)) : 5

    R=0.0067

    Now find the population in 2020

    P=Ae^rt

    P?

    A 175 million

    R 0.0067

    T time 2,020-1,995=25 years

    P=175*e^ (0.0067*25)

    P=207 million ... answer
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