document.write( "Question 1170746: Maricopa's Success scholarship fund receives a gift of $ 175000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 4.9 % interest, and stocks pay 10.2 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 12707.5, how much was invested in each account?
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Algebra.Com's Answer #795641 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x = CDs\r\n" ); document.write( "\r\n" ); document.write( "Then bonds = (x+10000),\r\n" ); document.write( "\r\n" ); document.write( " stocks = 175000-x-(x+10000) = 165000-2x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total interest equation is\r\n" ); document.write( "\r\n" ); document.write( " 0.0525x + 0.049*(x+10000) + 0.102*(165000-2x) = 12707.50 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From this equation,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The amazing and unexpected fact is that problem is solved using only one single unknown and one equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |