now, recall that I = Prt.
now, half of the original principal is just P/2, so, how many years will it take Jim to get in interest, an amount that is half of what he put in.
now.... neverminding P amount, we can say... that say if P = 2, then I = 1, because we want I to be half of P, and when that happens, every $2 returned $1 in interest with a 10% simple interest, what year is it?
[tex]\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\to &\$1\\
P=\textit{original amount deposited}\to& \$2\\
r=rate\to 10\%\to \frac{10}{100}\to &0.10\\
t=years
\end{cases}
\\\\\\
1=2\cdot 0.10\cdot t\implies 1=0.2t\implies \quad \cfrac{1}{0.2}=t\implies 5=t[/tex]
