Question

The population of Hyderabad was 68,09,000 in the year 2011. If it increases at the rate of 4.7% per annum. What will be the population at the end of the year 2015.

Answer 1

Given

The population of Hyderabad was $6809000$ in the year $2011$.

It increases by $4.7\%$ per annum.

we need to calculate population after $4$ years with given rate of interest.

We will use the compounding formula

$Z=A+{(1+\frac{r}{100})}^t$

where $Z$ is population at the end of duration

$A$ is present population

$t$ is tme perior

$r$ is rate of interest

we know that $4.7\%$ $=0.047$

putting the values

$Z=6809000+{(1+\frac{4.7}{100})}^4$

$Z=6809000{\left(1.047\right)}^4$

$Z=6809000\times 1.2016741717$

$Z=8182199$

Thus population at the end of 2015 will be 8182199