# 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?