Question

A population of a certain town is 1,25,000. if the annual birth rate is 3.3% and the annual death rate is 1.3%, then the approximate population after 3 years will be

Answer 1

Here we have been given that

population = 1,25,000

Annual Birth Rate = 3.3%

Annual Death Rate =  1.3%

Therefore, Annual Growth Rate = ( Annual Birth Rate - Annual Death Rate)%

                                                     = ( 3.3 - 1.3 )%

                                                     = 2%

therefore, population after 3 years = $125000 (1 + \frac{2}{100} )^{3}$

                                                          = $125000(1 + \frac{1}{50}  )^{3}$

                                                          = $125000(\frac{51}{50} )^{3}$

                                                          = $125000 (\frac{132651}{125000})$

                                                          = 132651

Therefore, population after 3 years is 132651