Question

The present population of a town is 15,000. If the population increases at the rate of

4% per year, then find the population after one year?​

Answer 1

Step-by-step explanation:

The present population of a town is 15,000. If the population increases at the rate of

4% per year, then find the population after one year?

Answer 2

Given :

• Current Population (P) = 15000
• Rate of increase (R) = 4%
• Time period (T) = 1 year

To Find :

• Population of the town after one year

Formula Applied :

$\displaystyle{\underline{\boxed{\sf Future\: population = P\Big(1+\dfrac{r}{100}\Big)^t}}}$

Solution :

$\implies \sf P\Big(1+\dfrac{r}{100}\Big)^t$

$\implies \sf 15000\Big(1+\dfrac{4}{100}\Big)^1$

$\implies \sf 15000\Big(\dfrac{100+4}{100}\Big)^1$

$\implies \sf 15000\Big(\dfrac{104}{100}\Big)^1$

$\implies \sf 150{\cancel{0}}{\cancel{0}}\Big(\dfrac{104}{1{\cancel{0}}{\cancel{0}}}\Big)$

$\implies \sf 150 \times 104$

$\implies \sf 15600$

Required Answer :

Population of the Town after one year is $\underline{\sf 15600}$