Final answer:
With a current population of 100 million and a growth rate of 3.5% annually, the population of the country will be about 324.34 million in 40 years.
Step-by-step explanation:
This problem is an application of the exponential growth formula. The exponential growth formula is a useful tool that you can use to find out future values based on an average rate of growth. The formula is P = P0(1 + r/n)^(nt), where P is the future value, P0 is the present value, r is the annual growth rate, n is the number of times that interest is compounded per unit t, and t is the time the money is invested for.
In the context of population growth, we can simplify the formula as P = P0 * (1+r)^t since the growth is compounded annually. So if we plug in the known values, we get P = 100 million * (1+0.035)^40. This calculates to approximately 324.34 million. Therefore, if the growth rate remains constant, the population of the country will be approximately 324.34 million in 40 years. Remember, this is an estimation and the actual population can deviate from this due to numerous factors.
Learn more about Exponential Growth