Answer:
[tex]\large \boxed{272175}[/tex]
Step-by-step explanation:
We can use the exponential growth formula:
y = a(1+r)ˣ
where
y = amount after x time
a = initial amount
r = growth rate as a decimal fraction
x = number of years
Data:
a = 170 000
r = 0.04
Calculations:
[tex]\begin{array}{rcll}y &= &170 000(1.04)^{12} & & \\& = &170 000 \times 1.601032 &\\& = &\mathbf{272175} &\\\end{array}\\\text{The population will be $\large \boxed{\mathbf{272175}}$ in 12 yr}[/tex]
The figure below also shows that the population will grow to about 272 000 in 12 yr.
