A $12-$year$-$old child received an inheritance of $$4000$ per year. This was to be invested and allowed to accumulate until the child reached $21$ years of age. The first payment was made on the child's $12$th birthday and the last on the $21$st birthday. If the money was invested at $5\mathrm{.}1\%$ compounded annually, what did the child receive at age $21?$