Question

what will be the population after 3 years . when the population increases at the rate 3 % in i year, 4 % in ii year and 5% in iii year

Answer 1

Population after three years is: 1.03P * 1.04 * 1.05.

Explanation:

To calculate the Population after 3 years with different growth rates each year, we can use the following equations:

Population after the first year = Initial population + (Growth rate in the first year * Initial Population)

Population after the second year = Population after the first year + (Growth rate in the second year * Population after the first year)

Population after the third year = Population after the second year + (Growth rate in the third year * Population after the second year)

Let's denote the initial Population as P.

Given the growth rates in each year:

- Growth rate in the first year (3%): 0.03

- Growth rate in the second year (4%): 0.04

- Growth rate in the third year (5%): 0.05

Calculating the Population after each year:

Population after the first year = P + (0.03 * P) = P * (1 + 0.03) = 1.03P

Population after the second year = (1.03P) + (0.04 * (1.03P)) = 1.03P * (1 + 0.04) = 1.03P * 1.04

Population after the third year = (1.03P * 1.04) + (0.05 * (1.03P * 1.04)) = 1.03P * 1.04 * (1 + 0.05) = 1.03P * 1.04 * 1.05

Therefore, the Population after three years is: 1.03P * 1.04 * 1.05.