Calculus: Other Calculus Problems – #448


Question: The administrators of a town estimate that the fraction of people who still be residing in the town \(t\) years after they arrive is given by the function

\[f(t)={{e}^{-0.04t}}\]

If the current population is 20,000 people and new townspeople arrive at the rate of 500 per year, what will the population be 10 years from now?

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