Question

The population of a is town is $64,000.$ If the annual birth rate is $10.7$% and the annual death rate is $3.2$. Calculate the population after three years.

• A. $79507$
• B. $79000$
• C. $79500$
• D. $79510$

Answer 1

Answer: (A)

$79507$

Present population $=64,000$

Birth rate $=10.7\%\left(increase\right)$, death rate $=3.2\%\left(decrease\right)$

$R=$ total increase in population $\left(\%\right)=10.7-3.2=7.5$

Population after $n$ years $=pp{(1+\frac{R}{100})}^n$

After $3$ years $=64,0000{(1+\frac{7.5}{100})}^3$

$\therefore$ Population $=79507$