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)\"\" \"About 
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document.write( "Let x = CDs\r\n" );
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document.write( "Then bonds = (x+10000),\r\n" );
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document.write( "     stocks = 175000-x-(x+10000) = 165000-2x.\r\n" );
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document.write( "The total interest equation is\r\n" );
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document.write( "    0.0525x + 0.049*(x+10000) + 0.102*(165000-2x) = 12707.50  dollars.\r\n" );
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document.write( "From this equation,\r\n" );
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document.write( "    x = \"%2812707.50+-+0.049%2A10000+-+0.102%2A165000%29%2F%280.0525+%2B+0.049+-+0.102%2A2%29\" = 45000.\r\n" );
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document.write( "ANSWER.  $45000 in CDs;  $45000 + $10000 = $55000 in bonds; and the rest  175000 - 45000 - 55000 = 75000   dollars in stocks.\r\n" );
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document.write( "CHECK.  0.0525*45000 + 0.049*55000 + 0.102*75000 = 12707.50  dollars the total interest.  ! Precisely correct !\r\n" );
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