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11 April, 00:40

The population of Greenbow, Alabama in 1995 was 200 people. Since then, the population has grown 2% per year. Model this situation with the proper equation and use that equation to predict the population of Greenbow in 2020.

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  1. 11 April, 01:41
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    Equation is;

    P = I (1 + r) ^n

    The population is 328

    Step-by-step explanation:

    Here we want to model the situation and use the modeled equation to predict population.

    This follows an exponential pattern with similarity to the amount paid on a compound interest

    Mathematically, we can have the equation as;

    P = I (1 + r) ^n

    Where P is the population we want to calculate

    I is the initial population in 1995 = 200 people

    r is the rate of increase = 2% = 2/100 = 0.02

    n is the difference in the number of years = 2020-1995 = 25

    Thus the population would be;

    P = 200 (1 + 0.02) ^25

    P = 200 (1.02) ^25

    P = 328.12

    which is 328 approximately
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