$1.(5$ pts$)$ You have $$10,000$ to invest for a six$-$year time period. You intend to invest the entire sum now and then withdraw the resulting amount six years from now. Your two investment opportunities are as follows. The first will pay simple interest at the rate of $10\%$ per year. The second will pay compound interest at the rate of $2\mathrm{.}25\%$ every three months. Calculate the interests of the two options. Which option is preferred?