Question

The present population of a city is 18522000. If it has been increased at the rate of 5% per annum,find the increase in number pf population from the population 3 years ago

Answer 1

Increasing
`=2522000`

`3` years ago population
`=16000000`

Explanation:

Let
`3` years ago population
`=x`

If initial amount
`=P,` rate of increase
`=r` and time
`=t`

after
`t` years amount
`(A)=P(1+(r)/(100))^t`

Hence
`A=18522000`

`P=x\\r=5\%\\t=3\ years`

`18522000=x(1=(5)/(100))^3\\\\18522000=x(1.05)^3\\\x=(18522000)/((1.05)^3)\\\\x=(18522000)/(1.1576625)\\\\x=16000000`

`3\ years\ ago\ population\ =16000000\\\\Increase=1852000-16000000\\\\=2522000`