The total accrued interest owed as of August 31 on a loan advanced the preceding June 3

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The total accrued interest owed as of August 31 on a loan advanced the preceding June 3 was $169.66. If the variable interest rate started at 8 ¾ %, rose to 9% effective July 1, and increased another ½ % effective July 31, what was the principal amount of the loan?
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