document.write( "Question 1203293: Brandon invested $20 000. He invested part of the money in a term deposit paying 4% annual interest, three times as much in a government bond paying 5% annual interest, and the rest in a second mortgage paying 7% annual interest. If he earned a total of $1130 interest in one year, how much did he invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #838735 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Brandon invested $20 000. He invested part of the money in a term deposit paying 4% annual interest,
\n" ); document.write( "three times as much in a government bond paying 5% annual interest, and the rest in a second mortgage
\n" ); document.write( "paying 7% annual interest. If he earned a total of $1130 interest in one year, how much did he invest at each rate?
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document.write( "Invested  x         at  4%\r\n" );
document.write( "         3x         at  5%\r\n" );
document.write( "and      (20000-4x) at  7%.\r\n" );
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document.write( "Write the total interest equation\r\n" );
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document.write( "    0.04x + 0.05*(3x) + 0.07*(20000-4x) = 1130  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.04x + 0.15x + 1400 - 0.28x = 1300\r\n" );
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document.write( "    -0.09x = 1130-1400\r\n" );
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document.write( "     0.09x = 270\r\n" );
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document.write( "     x = 270/0.09 = 27000/9 = 3000.\r\n" );
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document.write( "ANSWER.  $3000 invested at 4%;  3*3000 = 9000 dollars invested at 5%;\r\n" );
document.write( "         and the rest (20000-3000 - 9000) = 8000 dollars invested at 7%.\r\n" );
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