In a small town the population is p0 = 1000
at the beginning of a year. The population regularly increases by 2
percent per year and moreover 50
new inhabitants per year come to live in the town. How many years does the town need to see its population greater or equal to p = 1200
inhabitants?
At the end of the first year there will be:
1000 + 1000 * 0.02 + 50 => 1070
inhabitants
At the end of the 2nd year there will be:
1070 + 1070 * 0.02 + 50 => 1141
inhabitants (number of inhabitants is an integer)