Question

The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year.

What will the population of Leavetown be 100 years from now?

Answer 1

The population of Leavetown after 100 years would be 111,17.5681.

Explanation:

Given that,

Initial Population = I = 123,000

Decreasing Rate = r = 2.375 = 0.02375

We have to find the population after 100 years. So,

n = 100

The formula to calculate the population (P) after n years with a decreasing rate r is:

`P = I (1-r)^(n)`

Now, put the values in this formula.

`P = 123,000 (1-0.02375)^(100)`

`P = 123,000 (0.97625)^(100)`

`P = 11117.5681`

Hence, the population of Leavetown after 100 years would be 111,17.5681.