The annual rate of growth in population of a certain city is 8%.

Question:

The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?

Solution:

Population after three years $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{\mathrm{n}}$

$196,830=\mathrm{P}\left(1+\frac{8}{100}\right)^{3}$

$196,830=\mathrm{P}(1.08)^{3}$

$\mathrm{P}=\frac{196,830}{1.259712}$

$=156,250$

Thus, the population three years ago was 156,250 .

Leave a comment