Question

in a forest there are 40 thousand trees find the expected number of trees after 3 years if the objective is to increase the number @ 5% per year​

Answer 1

Total Trees=40,000

Increasing at Rate =5%

Time =3 years

Now How It will Increase.

Let In First Years it Increase to 40001

Now in Second Years it Increase from 40001 to undefined term .Thus This will be increasing.

For Finding Total TreesAfter 3 years

Use Formula

=$\mathtt{Trees\:Intial{{(1+\frac{Rate}{100})}^{Time}}}$

$= 40000(1 + \frac{5}{100} ) {}^{3} \\ \\ = 40000( \frac{105}{100} ) {}^{3} \\ \\ = 4\cancel{0000} \times \frac{105}{100} \times \frac{105}{\cancel{100}} \times \frac{105}{\cancel{100} } \\ \\ = \cancel4 \times \frac{105}{\cancel{100}} \times105 \times 105 \\ \\ = \frac{\cancel{105}}{\cancel{25} } \times\cancel{ 105} \times 105 \\ \\ = 21 \times 21 \times 105 \\ \\ = 441 \times 105 \\ \\ = 46305$

$\boxed{\mathtt{\large{Trees\:Will\:be=46,305}}}$