How long will it take to save $$3852\mathrm{.}00$ by making deposits of $$105\mathrm{.}00$ at the end of every six months into an account earning interest at $9\%$ compounded semi$-$annually? State your answer in years and months $($from $0$ to $11$ months$).$

It will take year$($s$)$ and month$($s$).$