Question

The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.

Answer 1

Given, 

Population of city = 125000 

Annual birth rate = 5.5 % 

Annual death rate = 3.5 % 

Annual increasing rate = 5.5 – 3.5 = 2 % 

Hence, 

Population of city after 3 years \(=125000[({1}+\frac{2}{100})^3]\)

\(={125000}\times\frac{51}{50}\times\frac{51}{50}\times\frac{51}{50}\) = 132651