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2 December, 07:39

a country's population in 1990 was 242 million, in 1999 it was 244 million. estimate the population in 2013

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  1. 2 December, 10:50
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    247.12 million

    Step-by-step explanation:

    Given:

    In 1990, population=242 million

    In 1999, population=244 million

    estimated population in 2013=?

    Estimated growth is calculated by:

    P (t) = Po*e^ (kt)

    where Po is original population

    k is growth rate

    t is the time in year

    Now putting the values of Po=242, P (t) = 244, t=9 (t=1999-1990=9) we have:

    244=242e^ (9k)

    (244/242) = e^ (9k)

    ln (244/242) = 9k

    k=1/9ln (244/242)

    k=0.00091

    Now Putting k=0.00091, Po=242, and t=23 (t=2013-1990=23) we have:

    P (t) = 242e^ (23*0.00091‬)

    P (t) = 247.12 million

    the population in 2013 estimated to be 247.12 million!
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