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11 August, 22:06

The population of a town can be modeled using the formula P=20,000e^0.02t, where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 40,000?

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  1. 11 August, 22:44
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    t = ((ln*2) / (0.02)

    Step-by-step explanation:

    plug 40000 in for P and solve for t

    40000=20000e^0.02t

    -divide both sides by 20000: 2=e^0.02t

    -in order to cancel out e, multiply both sides by the natural log (ln)

    ln (2) = 0.02t

    -divide 0.02 on both sides to get t by its self

    Answer: t = ((ln (2) / (0.02))
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