Population decline problem - math modeling

Question

The population of a country was 42 million in 2000 and the natural rate of the decline of the population was 3% per year. Also, let k(t) =e0.6t represent the net rate of growth of the population due to immigration and emigration t years after 2000.



A) Find an equation to model this system using P to represent the population _____amount and t to represent years



B) Find the population at the end of year 2020.

Answer 1

Pt = Po(e^-.03 + e^.6t)

P(20) = 42x10^6(e^-.6 + e^12) = population in 2020

use a calculator with an exponential function

=6,835,724,290,000 = almost 7 trillion