document.write( "Question 442265: How do I solve this problem?\r
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document.write( "A $132,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 7%. The bond and CD investment together must equal the mortgage investment. To earn a $8420 annual income from the investments, how much should the bank invest in bonds? \n" );
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Algebra.Com's Answer #305082 by mananth(16946) You can put this solution on YOUR website! Bonds --- 6% ----- x \n" ); document.write( "CD's -----5%-------y \n" ); document.write( "Mortages--7%------x+y \n" ); document.write( "... \n" ); document.write( "Interest to be earned = $8420 \n" ); document.write( "Investment = 132,000 \n" ); document.write( "x+y+x+y = 132,000 \n" ); document.write( "2x+2y=132000 \n" ); document.write( "x+y = 66,000.........1 \n" ); document.write( "6x+5y+7(x+y) = 8420*100 \n" ); document.write( "6x+5y+7x+7y=8420*100 \n" ); document.write( "13x+12y=8420*100......2 \n" ); document.write( "......... \n" ); document.write( "x+y=66000 .............1 \n" ); document.write( "13x+12y=842000 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -12 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-12x-12y =-792000 \n" ); document.write( "13x+12y= 842000 \n" ); document.write( "Add the two equations \n" ); document.write( "x=50000 investment in Bonds \n" ); document.write( "plug value of x in (1) \n" ); document.write( "x +y = 66000 \n" ); document.write( "50000 +y = 66000 \n" ); document.write( "y = 66000 -50000 \n" ); document.write( "y = 16000 \n" ); document.write( "y = 16000 Investment in CD's\r \n" ); document.write( "\n" ); document.write( "Mortage = 66,000 \n" ); document.write( " \n" ); document.write( " |