complete the table shown to the right for the population growth model for a certain country. the projected…

complete the table shown to the right for the population growth model for a certain country. the projected 2039 population is (square) million. (round to one decimal place as needed.)

complete the table shown to the right for the population growth model for a certain country. the projected 2039 population is (square) million. (round to one decimal place as needed.)

Answer

Explanation:

Step1: Find the number of years

The number of years from 2005 to 2039 is (t = 2039 - 2005=34) years.

Step2: Use the population growth formula

The population growth formula is (P = P_0e^{kt}), where (P_0 = 84.1) (initial population in 2005), (k = 0.0065) (growth rate), and (t = 34). Substitute the values into the formula: (P=84.1e^{0.0065\times34}). First, calculate (0.0065\times34 = 0.221). Then, (e^{0.221}\approx1.247) (using a calculator for the exponential function). Now, (P = 84.1\times1.247). (84.1\times1.247=(80 + 4.1)\times1.247=80\times1.247+4.1\times1.247=99.76+5.1127 = 104.8727).

Answer:

(104.9)