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23 January, 08:39

Population growth the population of knoxville is 500,000 and is increasing at the rate of 3.75% each year. approximately when will the population reach 1 million?

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  1. 23 January, 09:03
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    Current population = 500,000

    Populaton is

    500,000 * (1.0375) after 1 year

    500,000 * (1.0375) ² after 2 years

    ...

    500,000 * (1.0375) ˣ after x years

    Therefore when the population reaches a million,

    500,000 * (1.0375) ˣ = 1,000,000

    1.0375ˣ = 2

    x ln (1.0375) = ln (2)

    x = ln (2) / ln (1.0375) = 18.83 years

    Answer: 18.8 years, or approximately 19 years.
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