A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 33700?

Question

Mathematics

Brenda Roberts

1 June, 05:22

A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 33700?

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Answers (1)

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Jovan Shaw · Answer 1

If the population grows by 4% each year then

the population in any given year is 104% of

the previous year or 1.04 times as much

P (t) = P0 (1.04) t

P (t) is population at time t years

P0 = initial population = 11,000

t = number of years = 15

P (15) = 11,000 (1.04) 15

P (15) = 19,810 people