Answer:
After 4 years the population of the town will be 14,586.1
Step-by-step explanation:
12,000 x 5%= 600 ---------> 600 + 12,000 = 12,600 1 years = 12,600
12,000 x .05 = 600 -------------^
12,600 x 5% = 630 ----------> 630 + 12,600 = 13,230 2 years = 13,230
12,600 x .05 = 630 ---------------^
13,230 x 5% = 661.5 -----------> 661.5 + 13,230 = 13,891.5 3 years = 13,891.5
13,230 x .05 = 661.5 -----------------^
13,891.5 x 5% = 694.6 ----------> 694.6 + 13,891.5 = 14,586.1 4 years = 14,586.1
13,891.5 x .05 = 694.6 ---------------^
The population of the town after 4 years will be 14586.
Given information:
The population of a town is 12000 and it grows at a rate of 5% per year.
It is required to calculate the population of the town after 4 years.
Let P be the population after 4 years.
The value of P can be calculated as,
[tex]P=P_0(1+r)^t\\P=12000(1+0.05)^4\\P=12000(1.05)^4\\P=14586[/tex]
Therefore, the population of the town after 4 years will be 14586.
For more details, refer to the link:
https://brainly.com/question/19794215
