document.write( "Question 457205: Interest question, please help\r
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document.write( "$5400 is invested, part of it at 10% and part of it at 7%. For a certain year the total yield is $468. How much was invested at each rate? Thanks for your help. \n" );
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Algebra.Com's Answer #313703 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Interest question, please help \n" ); document.write( "$5400 is invested, part of it at 10% and part of it at 7%. For a certain year the total yield is $468. How much was invested at each rate? \n" ); document.write( "----------------- \n" ); document.write( "Quantity Equation: x + y = 5400 dollars \n" ); document.write( "Interest Equation:0.10x + 0.07y = 469 dollars \n" ); document.write( "------------------------------------------- \n" ); document.write( "Multiply thru 1st by 10 \n" ); document.write( "Multiply thru 2nd by 100 \n" ); document.write( "-------------------------------- \n" ); document.write( "10x + 10y = 54000 \n" ); document.write( "10x + 7y = 46900 \n" ); document.write( "--------------------------- \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "3y = 7100 \n" ); document.write( "y = $2366.67 (amt. invested at 7%) \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x+ y = 5400 \n" ); document.write( "x = 5400-2366.67 \n" ); document.write( "x = $2633.33 (amt. invested at 10%) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |