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29 April, 15:31

A new museum had 7500 visitors this year. the museum curators expect the number of visitors to grow by 5% each year. the function y=7500 (1.05) x models the predicted number of visitors each year after x years. how many visitors will there be in the third year?

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  1. 29 April, 17:07
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    The equation shown above for the prediction of the number of visitors in each year is absolutely right. However, it can be written as,

    y = 7500 (1.05) ^x

    to be able to avoid confusions.

    Substituting 3 to the x in the equation will give us,

    y = 7500 (1.05) ^3

    = 8682.188

    ≈8682

    Therefore, there will be approximately 8682 visitors in the third year.
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