Question

19. The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year. What is the

Answer 1

Given :

The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year.

To Find :

The approximate population of the town in 21 years.

Solution :

Let, new population after x years is P.

So, P is given by :

$P = 47288\times ( 1- 0.024)^x\\\\P = 47288\times (0.976)^x$

Now, putting value of x = 21 in above equation, we get :

$P = 47288\times (0.976)^{21}\\\\P = 28392$

Therefore, option d) is correct.