Answer:
20,304
Step-by-step explanation:
We are given the information that the population of 24,598 is declining at a rate of 1.9% per year. We need to figure out the population estimate in 10 years from now. To do that, we can use a general decline formula as shown below:
[tex]A = P(1-r)^t[/tex]
A = total amount
P = original amount
r = growth rate (decimal)
t = years
Before we plug in the values, don't forget to change 1.9% to its decimal form.
1.9% -> [tex]\frac{1.9}{100}[/tex] -> 0.019
Now, lets plug in the values:
[tex]A=24,598(1-0.019)^{10}[/tex]
[tex]A = 20,304[/tex]
The population after 10 years will be 20,304.
