document.write( "Question 1196544: A recently retired couple have $150,000 to invest in two different accounts: a bank certificate, and a local state bond. They need to earn $12,000 in interest per year from these investments to supplement their Social Security, but no more than that - they run the risk of changing tax brackets if they earn too much from these accounts. The bank certificate pays 5% interest, and the bond pays 10% interest. Set up a system of equations to calculate how much they should invest in each account \n" ); document.write( "

Algebra.Com's Answer #829420 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Let x represents the amount invested at 5% annual interest, \r\n" );
document.write( "and let y be the amount invested at 10% annual interest.\r\n" );
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document.write( "The system of equations is\r\n" );
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document.write( "        x +     y = 150000   dollars     (1)\r\n" );
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document.write( "    0.05x + 0.10y =  12000   dollars     (2)\r\n" );
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document.write( "Equation (1) says that the total invested amount of the two accounts is $150,000.\r\n" );
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document.write( "Equation (2) says that the total annual interest of the two accounts is $12,000.\r\n" );
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