Question

after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.​

Answer 1

Explanation:

The standard form of an exponential equation is
`y=a(b)^x` where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

`33620=a(1.025)^2\\33620=1.050625a` so

a = 32000

The initial population is 32000