A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 18500?

Question

A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 18500

Answer 1

18500 = 12000(1 + 0.04)^t

1.54 ≈ 1,04^t

ln 1.54 ≈ t ln 1.04

0.43 ≈ 0.039t

1.096 ≈ t