Suppose a city with a population 200,000 has been growing at a rate of 3% per year. If this rate​ continues, find the population of this city in 24 years.

Answer 1

P = 200,000e^.03(24)

= 200,000e^.72

= about 410,887 population

in 24 years if initial population = 200,000

and annual growth rate = 3%=.03

general equation is

P = Po(e^rt) where Po=initial number, P = number at end of t years at r annual growth rate