Question

A city had a population of 7,567 at the beggining of 1944 and has been growing...

A city had a population of 7,567 at the beggining of 1944 and has been growing at 8.7% per year since then.


(a) Find the size of the city at the beginning of 1994.
Answer:

(b) During what year will the population of the city reach 1,677,180 ?
Answer:

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Answer #1

(a) Find the size of the city at the beginning of 1994.

At the beginning of 1944, the city had a population of 7,567.

(b) During what year will the population of the city reach 1,677,180?

Let the population of a town be P now and suppose it increases at the rate of R% per annum, then:

Population after n years =

R=8.7

P=7567

F=1,677,180

n=?

So

The year in which the population will reach 1,677,180 is 1994+64.7442=2058.7442 or 2059

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