document.write( "Question 1170406: High interest rates make it difficult for
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document.write( "people to pay off credit card debt in a reasonable period
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document.write( "of time. The interest I (in dollars) paid on a $10,000 debt
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document.write( "over 3 years when the interest rate is r% can be approximated
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document.write( "by the equation\r
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document.write( "I/175.393 + 0.663 = r\r
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document.write( "(Source: Consumer Federation of America). If the credit
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document.write( "card interest rate is 19.8%, find the amount of interest
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document.write( "paid during the 3 years. \n" );
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Algebra.Com's Answer #851198 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's solve the problem step-by-step.\r \n" ); document.write( "\n" ); document.write( "**Given:**\r \n" ); document.write( "\n" ); document.write( "* The equation relating interest paid (I) and interest rate (r): \n" ); document.write( " * I / 175.393 + 0.663 = r \n" ); document.write( "* The credit card interest rate (r): 19.8%\r \n" ); document.write( "\n" ); document.write( "**Goal:**\r \n" ); document.write( "\n" ); document.write( "* Find the amount of interest paid (I) during the 3 years.\r \n" ); document.write( "\n" ); document.write( "**Solution:**\r \n" ); document.write( "\n" ); document.write( "1. **Substitute the interest rate (r) into the equation:** \n" ); document.write( " * I / 175.393 + 0.663 = 19.8\r \n" ); document.write( "\n" ); document.write( "2. **Isolate the term with I:** \n" ); document.write( " * I / 175.393 = 19.8 - 0.663 \n" ); document.write( " * I / 175.393 = 19.137\r \n" ); document.write( "\n" ); document.write( "3. **Solve for I (interest paid):** \n" ); document.write( " * I = 19.137 * 175.393 \n" ); document.write( " * I ≈ 3356.55\r \n" ); document.write( "\n" ); document.write( "**Therefore, the amount of interest paid during the 3 years is approximately $3356.55.** \n" ); document.write( " \n" ); document.write( " |