document.write( "Question 977237: Mardi received an inheritance of $60,000. She invested part at an APR of 12 percent and deposited the remainder in tax-free bonds at an APR of 10 percent. Her total annual income from the investments was $6600. Find the amount invested at 12 percent.\r
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document.write( "I have tried to build the equation for this problem, however I don't think it's right. Here is what I have so far.\r
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document.write( "x = amount invested at 12%
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document.write( "y= amount invested at 10%\r
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document.write( "x + y = 60000\r
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document.write( ".12(60000 -x) + .10(60000 -y) = 6600\r
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document.write( "please let me know if my equation is wrong. if so what should my equation look like? \n" );
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Algebra.Com's Answer #598746 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Close but not quite \n" ); document.write( "Total amount of money invested: $60000 \n" ); document.write( "x+y=60000, \n" ); document.write( "Total yearly interest for the two accounts is: $6600 \n" ); document.write( "0.12*x+0.1*y=6600 \n" ); document.write( "x=60000-y \n" ); document.write( "Substitute for x \n" ); document.write( "0.12*(60000-y)+0.1*y=6600 \n" ); document.write( "Multiply out \n" ); document.write( "7200-0.12*y+0.1*y=6600 \n" ); document.write( "Combine like terms. \n" ); document.write( "-0.02*y=-600 \n" ); document.write( "Isolate y \n" ); document.write( "y=$ 30000.00 at 10% earns $3000 interest \n" ); document.write( "x=60000-y \n" ); document.write( "Calculate x \n" ); document.write( "x=$ 30000.00 at 12% earns $3600 interest \n" ); document.write( "Check \n" ); document.write( "0.12*30000+0.1*30000=6600 \n" ); document.write( "3600+3000=6600 \n" ); document.write( "6600=6600 \n" ); document.write( "If 6600=6600 is TRUE and neither x nor y is negative then all is well \n" ); document.write( "codeint1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |