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19 October, 11:56

The population of a city is 270 ,000 and is increasing at a rate of 2.25 % each year. Approximately when will the population reach 540 ,000?

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  1. 19 October, 12:11
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    The population will reach 540 000 in 30.8 yr.

    The formula for population growth is

    P_t = P_0 * e^ (rt)

    540 000 = 270 000 * e^ (0.0225t)

    e^ (0.0225t) = 2

    0.0225t = ln2

    t = (ln2) / 0.0225 = 30.8
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