document.write( "Question 145512This question is from textbook College Algebra
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document.write( ": Scott and Laura have both invested some money. Scott invested $3,000 more than Laura and at a 4% higher interest rate. If Scott received $750 annual interest and Laura received $250, how much did Scott invest? (There are two possibilities for how much Scott invested. Enter the smaller value first. Round your answer to the nearest cent.) \n" );
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Algebra.Com's Answer #106204 by stanbon(75887) ![]() You can put this solution on YOUR website! Scott and Laura have both invested some money. Scott invested $3,000 more than Laura and at a 4% higher interest rate. If Scott received $750 annual interest and Laura received $250, how much did Scott invest? (There are two possibilities for how much Scott invested. Enter the smaller value first. Round your answer to the nearest cent.) \n" ); document.write( "------------ \n" ); document.write( "Laura DATA: \n" ); document.write( "Amt invested = x dollars ; interest = 250 ; rate = (250/x) \n" ); document.write( "------------ \n" ); document.write( "Scott DATA: \n" ); document.write( "Amt invested = 3000-x dollars ; interest = 750 ; rate = 750/(3000-x) \n" ); document.write( "------------ \n" ); document.write( "EQUATION: \n" ); document.write( "[750/(3000-x)] - [250/x] = 0.04 \n" ); document.write( "I graphed the left side and the right side and found the point of intersection. \n" ); document.write( "x = $821.59 (amount Laura invested) \n" ); document.write( "3000-x = 3000-821.59 = $2178.41 \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |