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.

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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

$A = P {(1 + \frac{R}{100})}^{N} = 40000 {(1 + \frac{5}{100})}^{3} = 40000 {(1 + \frac{1}{20})}^{3} = 40000 {(\frac{21}{20})}^{3} = 46305$

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

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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.

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=P1+R100N =400001+51003 =400001+1203 =4000021203 =46305 Hence, the expected number of trees after 3 years is 46,305.