The population of Leavetown after 100 years would be 111,17.5681.
Step-by-step 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:
[tex]P = I (1-r)^{n}[/tex]
Now, put the values in this formula.
[tex]P = 123,000 (1-0.02375)^{100}[/tex]
[tex]P = 123,000 (0.97625)^{100}[/tex]
[tex]P = 11117.5681[/tex]
Hence, the population of Leavetown after 100 years would be 111,17.5681.