The population of a city is 270,000 and is increasing at a rate of 2.25% each year. Approximately when will the population rea

Question

4 years ago

8

ch 540,000?

1 answer:

maks197457 [2] · Answer 1 · 2021-12-30T22:44:07+03:00

8 0

The population will reach 540 000 in 30.8 yr.

The formula for population growth is

P_t = P_0 × e^(rt)

540 000 = 270 000 × e^(0.0225t)

e^(0.0225t) = 2

0.0225t = ln2

t = (ln2)/0.0225 = 30.8

The population of a city is 270​,000 and is increasing at a rate of 2.25​% each year. Approximately when will the population rea