document.write( "Question 664145: .need equation so I can solve the problem\r
\n" ); document.write( "\n" ); document.write( "math problem
\n" ); document.write( "?Arlene invested $29,000 for one year,part at 9% and part at 10%.If she earned a total interest of $2,760,how much was invested at each rate?
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Algebra.Com's Answer #413142 by ReadingBoosters(3246)\"\" \"About 
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Define variables
\n" ); document.write( "x = $ at 9%
\n" ); document.write( "y = $ at 10%
\n" ); document.write( "...
\n" ); document.write( "Given
\n" ); document.write( "x + y = $29000, which is the same as x = 29000-y
\n" ); document.write( ".09x + .1y = 2760
\n" ); document.write( "...
\n" ); document.write( "Substitute x into the second equation
\n" ); document.write( ".09(29000-y) + .1y = 2760
\n" ); document.write( "Distribute the .09
\n" ); document.write( "2610 - .09y + .1y = 2760
\n" ); document.write( "Combine like terms
\n" ); document.write( ".01y = 2760 - 2610
\n" ); document.write( ".01y = 150
\n" ); document.write( "y = 15,000 at 10%
\n" ); document.write( "x = 29000-15000= $14,000 at .09%
\n" ); document.write( "...
\n" ); document.write( "check
\n" ); document.write( ".09(14000)+.1(15000)= 1260 + 1500 = 2760
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\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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\n" ); document.write( "www.MyHomeworkAnswers.com
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