Use the model $A=P{e}^{rt}$ or $A=P(1+\frac{r}{n}{)}^{nt},$ where $A$ is the future value of $P$ dollars invested at interest rate $r$ compounded continuously or $n$ times per year for $t$ years.

A $$10,000$ investment grows to $$13,079\mathrm{.}91$ at $4\mathrm{.}5\%$ interest compounded quarterly. For how long was the money invested? Round to the nearest year.

The money was invested for approximately

years.