The money a bank or other lending institution is willing to lend you is called the amount of credit extended or the of the loan.
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Textbook Solutions for A Survey of Mathematics with Applications
Question
Tax Preparation Loan Many tax preparation organizations will prepay customers tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy Stallard had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of $39.95. What annual simple interest rate is Joy paying for this loan assuming a) the tax refund check would be available in 5 days? b) the tax refund check would be available in 10 days? c) the tax refund check would be available in 20 days?
Solution
The first step in solving 11.2 problem number 128 trying to solve the problem we have to refer to the textbook question: Tax Preparation Loan Many tax preparation organizations will prepay customers tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy Stallard had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of $39.95. What annual simple interest rate is Joy paying for this loan assuming a) the tax refund check would be available in 5 days? b) the tax refund check would be available in 10 days? c) the tax refund check would be available in 20 days?
From the textbook chapter Consumer Mathematics you will find a few key concepts needed to solve this.
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