Problem $7$

Score: $\frac{?}{8}$ points

In an effort to have enough money to finance his passion for top$-$level off$-$road racing, a mechanical engineering graduate decided to sell some of his "toys." At time $t=0,$ he sold his chopper motorcycle for $$18,000.$ Six months later, he sold his Baja pre$-$runner SUV for $$26,000.$ At the end of year $1,$ he got $$42,000$ for his pro$-$light race truck. If he invested all of the money in a high$-$risk commodity hedge fund that earned $24\%$ per year, compounded semiannually, how much did he have in the account at the end of $2$ years?