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24 April, 05:02

In 2000 the population of a district was 750,000. With a continuously compounding growth rate of approximately 4%, what will the population be in 2025?

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  1. 24 April, 05:19
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    2,038,711

    Step-by-step explanation:

    For a continuously compounding rate r, the growth is modeled by ...

    P = P0·e^ (rt)

    where P0 is the initial population, r is the annual growth rate (compounded continuously) and t is the number of years.

    Putting your values into this formula, you have

    P = 750000·e^ (0.04·25) ≈ 2,038,711
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