The population of Brooklyn is growing at an annual rate of 3

The population of Brooklyn is growing at an annual rate of 3.7%. The current population is 25, 000. When will the population be 250, 000?

Solution

initial population = 25000

final population = 250000

so population after n years = 25000(1+3.7/100)ⁿ = 250000

(1.037)ⁿ = 10

so n = 63.37 = 64 years