A cottage is purchased for $140 000. The cottage is expected to increase in value each year by 4.5%. The value of the cottage can be represented by $A(t) = 140000(1.045)^t$, where $A(t)$ is the value of the cottage and $t$ is the number of years after the purchase.
Rounded to the nearest year, it will take the cottage years to be worth $225 000.