A local biologist needs a program to predict population

A local biologist needs a program to predict population growth. The inputs would be:

1. The initial number of organisms, as an int
2. The rate of growth (a real number greater than 1), as a float
3. The number of hours it takes to achieve this rate, as an int
4. A number of hours during which the population grows, as an int

For example, one might start with a population of 500 organisms, a growth rate of 2, and a growth period to achieve this rate of 6 hours. Assuming that none of the organisms die, this would imply that this population would double in size every 6 hours. Thus, after allowing 6 hours for growth, we would have 1000 organisms, and after 12 hours, we would have 2000 organisms.

Write a program that takes these inputs and displays a prediction of the total population.