Question

A capital city has a population of 14.2 million. It is estimated that the birth rate of this population is 2.8% per year whereas the death rate of the population is 1.8% per year. Assume that the birth rate and the death rate stay the same each year. Find the population of the capital city after 2 years.

Answer 1

14,462,000 people.

Step-by-step explanation:

To find the population of the capital city after 2 years, you can use the formula for population growth with constant birth and death rates. The formula is:

P(t)=P(0)∗(1+r)tP(t)=P(0)∗(1+r)t where: P(t) is the population after tt years.P(0) is the initial population (14.2 million in this case).rr is the net growth rate (birth rate - death rate), which is 2.8% - 1.8% = 1.0% or 0.01 as a decimal.tt is the number of years (2 years in this case).Now, plug in the values and calculate:

P(2)=14.2million∗(1+0.01)2P(2)=14.2million∗(1+0.01)2P(2)=14.2million∗(1.01)2P(2)=14.2million∗(1.01)2P(2)=14.2million∗1.0201P(2)=14.2million∗1.0201P(2)=14,462,000P(2)=14,462,000

So, the population of the capital city after 2 years is approximately 14,462,000 people.