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