document.write( "Question 1104626: Need full answer asap please, thank you so much!\r
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document.write( "Linda bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
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document.write( "$150
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document.write( " more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was
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document.write( "7%
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document.write( " per year, and for the laptop it was
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document.write( "5.5%
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document.write( " per year. The total finance charges for one year were
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document.write( "$227
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document.write( ". How much did each computer cost before finance charges? \r
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document.write( "DESKTOP: $?
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document.write( "LAPTOP: $? \n" );
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Algebra.Com's Answer #719342 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = the cost of the desktop. \n" ); document.write( "let x + 150 = the cost of the laptop.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the finance charge on the desktop was 7%. \n" ); document.write( "the finance charge on the laptop was 5.5%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total finance charge for 1 year was 227.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is .07 * x + .055 * (x + 150) = 227\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get .07 * x + .055 * x + .055 * 150 = 227\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms and simplify further to get .125 * x + 8.25 = 227\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 8.25 from both sides of the equation to get .125 * x = 218.75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 218.75 / .125 = 1750\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the cost of the desktop.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cost of the laptop is 150 more than that = 1900\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".07 * 1750 + .055 * 1900 = 227.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "desktop cost 1750 and laptop cost 1900 before finance charges.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |