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Viktor [21]
3 years ago
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

ch 540​,000?
Mathematics
1 answer:
maks197457 [2]3 years ago
8 0

The population will reach 540 000 in 30.8 yr.

The formula for population growth is

<em>P</em>_<em>t</em> = <em>P</em>_0 × e^(<em>rt</em>)

540 000 = 270 000 × e^(0.0225t)

e^(0.0225t) = 2

0.0225t = ln2

t = (ln2)/0.0225 = 30.8



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