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8 May, 07:23

A country's population in 1992 was 136 million. In 1998 it was 141 million. Estimate the population in 2007 using exponential growth formula. Round your answer to the nearest million.

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  1. 8 May, 10:42
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    Hello,

    Let's assume x = the year - 1992

    y the population in million.

    y=k*e^ (ax)

    136=k*e^0==>k=136

    141=136*e^ (a*6) = = > a = (ln (141/136)) / 6

    y=136*e^ ((ln (141/136)) / 6 * 15)

    ==>y=148.8457 ... ≈149 (million)
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