Question

The population of a city is 320000. if the annual birth rate is 9.2 % and the annual death rate is 1.7 %. calculate the population of the town after 3 years​

Answer 1

It is given that

Birth rate = 9.2%

Death rate = 1.7%

So the net growth rate = 9.2 – 1.7 = 7.5%

Present population (P) = 320000

Period (n) = 3 years

We know that

Population after 3 years (A) = P (1 + r/100)^n

Substituting the values

= 320000 (1 + 7.5/100)³

By further calculation

= 320000 (1 + 3/40)³

= 320000 × (43/40)³

So we get

= 320000 × 43/40 × 43/40 × 43/40

= 397535

${\fcolorbox{blue}{black}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: DecentMortal\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$