Suppose you're offered the following three accounts to invest S10,000 for 20 years: $15 %$ simple Interest, $6 %$ interest compounded monthly, and an annulty with quarterly payments of $$ 125$ at $14 %$ interest compounded quarterly. Which is the best choice? Round your answers to the nearest cent.
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The future value of $$ 10, 000$ using $15 %$ simple interest is $S$

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The future value of $$ 10, 000$ using $15 %$ simple interest is $40000$ dollars.

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Step 1 ：For the simple interest rate, the interest would be $10000 \cdot 0.15 = 1500$ dollars every year. Since there are $20$ years, in the end the future value would be $10000 + 20 \cdot 1500 = 40000$ dollars.

Step 2 ：The future value of $$ 10, 000$ using $15 %$ simple interest is $40000$ dollars.

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