Problem

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 $\mathrm{S}$

Answer

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Answer

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

Steps

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 $\boxed{40000}$ dollars.

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