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13-09-2018
Mathematics

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The population of a city is 270,000 and is increasing at a rate of 2.25% each year. Approximately when will the population reach 540,000?

Respuesta :

13-09-2018

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

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