If a city of 180,000 has an expected growth rate of 4%, how big will it be in 5 years?

Question

P=Ae^nt

 

The population of a city grows according to P=Ae^nt where projected population is P, starting population is A, time in years is t, and n is an observed or expected rate of increase in population (in decimal form). If a city of 180,000 has an expected growth rate of 4%, how big will it be in 5 years?

Answer 1

P = 180000e^(0.04)(5)

P = 180000e^0.2

P ≈ 180000(1.2214)

P ≈ 219,852.4