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?

Population of Leavetown in 100 years from now will be 11,324

Step-by-step explanation:

To find the decrease in population after a certain years, we will work with the formula below:

P (t) = Po (1 - r) ^t

Where

P (t) = new population over time

Po = initial population

r = rate of decrease

t = time taken

In this case

Initial population Po = 123,000

Rate of decrease r = 2.357%

Time t = 100

Therefore

P (t) = Po (1 - r) ^t

P (100) = 123,000 (1 - 2.357/100) ^100

P (100) = 123,000 (1 - 0.02357) ^100

P (100) = 123,000 (0.97643) ^100

P (100) = 123,000 (0.092068)

P (100) = 11,324.4349

P (100) = 11,324

Population of Leavetown in 100 years from now will be 11,324