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14 December, 13:07

A country's population in 1993 was 94 million. In 1996 it was 99 million. Estimate the population in 2012 using exponential growth. round to the nearest million ...

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  1. 14 December, 13:42
    0
    The rounded estimate is 111 millon or higher
  2. 14 December, 16:19
    0
    Exponential growth formula is : P = Ae^kt

    1999-1993 = 6

    1993 = P (0) = 94 million

    1996 = P (6) = 99 million

    P (6) = P (0) e^ (6 k)

    99 = 94 e^ (6 k)

    e^ (6 k) = 99/94

    6 k = ln (99/94)

    k = ln (99/94) / 6 = 0.0086375

    2010 - 1993 = 19

    Now we have:

    P (19) = 94e^ (19*0.0086375)

    P19 = 110.765 million

    Rounded to the nearest million = 111 million.
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