A city has a population of 370,000 people. suppose that each year the population grows by 4.75%. what will the population be after 8 years?

This is exponential growth with an annual growthrate of 4.75% and an initial population of 370,000.

Future population = (Initial population) (1 + [growth rate]) ^ (number of years)

Here we have:

Future pop = 370,000 (1+0.0475) ^8

= 370000 (1.0475) ^8 = 536332 (after rounding up to the nearest 1 person)