Question

The population of a city is

133​,000.

If the population is declining continuously by

2.1​%

per​ year, in how many years will the city be losing

1170

people per​ year?

Answer 1

So let the population in the year N in which the population falls by 1170, will be y

Also, 1170 is nothing but 2.1% of y , So, 1170= (2.1/100)*y or y= (1170 * 100)/2.1 = 55714

This is the population in year N.

If initial population is 133000 and rate of fall in population per year is 2.1% . This continues foe N years ,till the population is 55714.

By the problem,

Now we solve for N which is found out to be 41 years