document.write( "Question 405945: An executive invests $22,000, some at 6% and some at 4% annual interest. If he receives an annual return of $1080, how much is invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #286607 by mananth(16946)\"\" \"About 
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6% per annum ------ x
\n" ); document.write( "4% per annum--------y\r
\n" ); document.write( "\n" ); document.write( "x+y =22,000....1\r
\n" ); document.write( "\n" ); document.write( "0.06x+0.04y=$1080.
\n" ); document.write( "multiply by 100
\n" ); document.write( "6x+4y=108000............(2)\r
\n" ); document.write( "\n" ); document.write( "multiply (1)-6
\n" ); document.write( "-6x-6y=-132000
\n" ); document.write( "add to (2)
\n" ); document.write( "-2y=-24000
\n" ); document.write( "/2
\n" ); document.write( "y = $12000 ===> at 4%
\n" ); document.write( "Balance $10,000 ay 6%
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