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Claire has borrowed $\$5,\!000$. She plans to pay off the loan in full after two payments. She will make one payment 3 years from now, then another payment 6 years from now. The second payment will be exactly double the amount of the first payment. How much is the first payment if the interest rate of the loan is $8.5\%$, compounded annually? Express your answer as a dollar value rounded to the nearest cent.

User Ijaz
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5,\!000 × 6 = 30,000 / 8.5 = 3,529.. 411764705882 $ value
User Drubb
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