If a small island has a population of 25,000 people and if the population grows continuously at an annual rate

Question

Please show all the work, and then the answer! thank you very much!

Answer 1

What is the annual rate that the population is growing?  That is important to calculate the population in "x" amount of years.

I'll use a hypothetical percentage and number of years for this one.

25,000 (population) X 0.015 (1.5% rate increase per year)

equals

375

Basically, with a 1.5% annual increase rate the population of that island would grow 375 people per year.  

If you want to see what the population will be in 50 years:

375 (growth per year) X 50 = 18,750 people

So, in 2058 the population of the island would be

25,000 + 18,750 = 43,750 people

Answer 2

Growing at an annual rate R%, a population of 25000 at the beginning of the first year would, at the beginning of N number of years, have reached a population of:

25000 * [1+R/100]^ (N - 1)