Question

The population of a town is 281250. What will
be its population after 3 years, if the rate of
growth of population is 4% per year?​

Answer 1

Answer:

Step-by-step explanation:

population after three years

281250(1+4/100)^3

=281250(26/25)^3

=281250*17576/15625

=18*17576

=316368

Answer 2

Solution :

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

The population of a town is 281250.If the rate of growth of population is 4% per year.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The population after 3 years.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

$\bf{We\:have}\begin{cases}\sf{The\:population\:of\;town\:=281250}\\ \sf{Time\:(n)=3\:years}\\ \sf{Increase\:rate\:(r)=4\%}\end{cases}$

A/q

$\sf{Population\:after\:3\:years=281250\bigg(1+\cancel{\dfrac{4}{100}} \bigg)^{3} }\\\\\\\sf{Population\:after\:3\:years=281250\times \bigg(1+\dfrac{1}{25} \bigg)^{3} }\\\\\\\sf{Population\:after\:3\:years=281250\times \bigg(\frac{25+1}{25} \bigg)^{3} }\\\\\\\sf{Population\:after\:3\:years=\cancel{281250}\times \dfrac{26}{\cancel{25}} \times \dfrac{26}{\cancel{25}} \times \dfrac{26}{\cancel{25}} }\\\\\\\sf{Population\:after\:3\:years=(18\times 26\times 26\times 26)}$

$\sf{\orange{Population\:afer\:3\:years\:=316368}}$

Thus;

The population amount after 3 years is 316368.