A company is starting a fish farm in a man-made lake with a carrying capacity of 7500. The CEO wants to have a population of 5000 fish after 3 years. If the yearly population growth rate is 2.0, about how many fingerlings should they add to the lake to start their population?

4,712 fingerlings

Explanation:

The amount that a sum will accumulate to at the end of a particular number of period if it grows at a certain rate per annum is given as

F = A * (1+g) ^ (n)

F - Sum at the end of the period, A - sum at the beginning of the period, n - number of period, g - growth rate

5,000 = A * (1.02) ^ (3)

a = 5000 / (1.02^3)

a = 4711.61

The population at the start of fingerlings = 4,712