#### Question

In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year.

#### Solution

Here, P = Number of trees initially = 40,000

A = Number of trees after 3 years

R = Rate of increase of number of trees per year = 5 %

N = 3 years

A = P `(1 + "R"/100)^"N"`

= 40000 `(1 + 5/100)^3`

= 40000 `(1 + 1/20)^3`

= 40000 `(21/20)^3`

= 46305

Hence, the expected number of trees after 3 years is 46,305.

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Solution In a Forest There Are 40,000 Trees. Find the Expected Number of Trees After 3 Years If the Objective is to Increase the Number at the Rate 5% per Year. Concept: Application of Formula for Compound Interest.