Question

The population of a country has a relative growth rate of 3% per year. The government is trying to reduce the growth rate to 2%. The population in 2011 was approximately 110 million. Find the projected population for the year 2037 for the following conditions. (Round your answers to the nearest whole number.)

Answer 1

Answer:

185,023,041

Explanation:

Given,

The original population of the country, P = 110 million,

Growth rate, r = 2% = 0.02,

Number of years from 2011 to 2037,

Time, t = 26 years,

Hence, the projected population would be,

$A=Pe^{rt}$

$=110e^{0.02\times 26}$

$=110 e^{0.52}$

$=185.023041467\text{ million }$

$=185023041.467$

$\approx 185023041$