Answer:
The population after 14 years will be of 2266.
Step-by-step explanation:
The population of the town after t years can be modeled by the following equation:
[tex]P(t) = P(0)(1+r)^{t}[/tex]
In which P(0) is the initial population and r is the yearly growth rate, as a decimal.
A town has a population of 1400 and grows at 3.5% every year.
This means that [tex]P(0) = 1400, r = 0.035[/tex]
Then
[tex]P(t) = P(0)(1+r)^{t}[/tex]
[tex]P(t) = 1400(1+0.035)^{t}[/tex]
[tex]P(t) = 1400(1.035)^{t}[/tex]
What will be the population after 14 years?
This is P(14).
[tex]P(14) = 1400(1.035)^{14} = 2266.17[/tex]
Rounding to the nearest whole number
The population after 14 years will be of 2266.
