One model for the population of a country is the logistic equation: P(t) = K 1 + KP0 P0 ert, where P0 means the initial population, t is measured in years from the time of the initial population, K is the carrying capacity (the number of people the country can comfortably sustain), r is the rate of growth of the population. In this exercise you will pick a country and make some predictions about its population.

a) Pick a country and look up its population in the year 2000, this will be P0 for you.

b) Look up your country's rate of growth r between 2015-2020 according to the United Nations (data is the last column of the table here https://en.wikipedia.org/wiki/List of countries by population growth rate)