document.write( "Question 911732: you receive an inheritance of $20,000 and decide to split it into two parts to invest. One part was invested at 6% interest and the rest at 8% interest. Find the amount invested at each rate if the annual income from the two investments is $1,500. \n" ); document.write( "
Algebra.Com's Answer #553302 by richwmiller(17219)\"\" \"About 
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Total amount of money invested: $20000
\n" ); document.write( "x+y=20000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1500
\n" ); document.write( "0.06*x+0.08*y=1500
\n" ); document.write( "x=20000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.06*(20000-y)+0.08*y=1500
\n" ); document.write( "Multiply out
\n" ); document.write( "1200-0.06*y+0.08*y=1500
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.02*y=300
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 15000.00 at 8% earns $1200 interest
\n" ); document.write( "x=20000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 5000.00 at 6% earns $300 interest
\n" ); document.write( "Check
\n" ); document.write( "0.06*5000+0.08*15000=1500
\n" ); document.write( "300+1200=1500
\n" ); document.write( "1500=1500
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1
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