document.write( "Question 909292: An inheritance of $15,000 is to be split and invested at 6% and 9% interest to produce an average 8% interest rate. How much money is to be invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #551770 by richwmiller(17219) $\"\"$ $\"About$

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0.08*15000=$1200 interest earned on $15000 at 8%
\n" ); document.write( "Total amount of money invested: $15000
\n" ); document.write( "x+y=15000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1200
\n" ); document.write( "0.06*x+0.09*y=1200
\n" ); document.write( "x=15000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.06*(15000-y)+0.09*y=1200
\n" ); document.write( "Multiply out
\n" ); document.write( "900-0.06*y+0.09*y=1200
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.03*y=300
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$10000.00 at 9%
\n" ); document.write( "x=15000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 5000.00 at 6%
\n" ); document.write( "Check
\n" ); document.write( "0.06*5000+0.09*10000=1200
\n" ); document.write( "300+900=1200
\n" ); document.write( "1200=1200
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "code int1
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