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Lucy takes out a 20-year loan of $10,000. She repays her loan using the sinking fund method. She pays interest annually, also at an annual

Lucy takes out a 20-year loan of $10,000. She repays her loan using the sinking fund method. She pays interest annually, also at an annual effective interest rate of 6%. In addition, Lucy makes level annual deposits at the end of each year for 20 years into a sinking fund. The annual effective rate on the sinking fund is 4%, and she pays the value of loan after 20 years. Find the interest and the principle repaid in the eleventh year by Lucy.

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