A town has a population of 2000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole number?
To calculate the population after 13 years, we will use the formula for exponential growth:
P(t) = P0 * (1 + r)^t
Where P(t) is the population after t years, P0 is the initial population, r is the growth rate (expressed as a decimal), and t is the number of years.
In this case, P0 = 2000, r = 4.5% = 0.045, and t = 13.
P(13) = 2000 * (1 + 0.045)^13
P(13) ā 3738.75
Rounded to the nearest whole number, the population after 13 years will be 3739. Answer: \boxed{3739}.