document.write( "Question 911941: i need help with this problem \r
\n" ); document.write( "\n" ); document.write( "Stephen has $40,000 to invest in two accounts and one account pays 4% and the other pays 6%. The annual income from these accounts is $2040. How much did he invest in each account
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Algebra.Com's Answer #553471 by richwmiller(17219)\"\" \"About 
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Total amount of money invested: $40000
\n" ); document.write( "x+y=40000,
\n" ); document.write( "Total yearly interest for the two accounts is: $2040
\n" ); document.write( "0.04*x+0.06*y=2040
\n" ); document.write( "x=40000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.04*(40000-y)+0.06*y=2040
\n" ); document.write( "Multiply out
\n" ); document.write( "1600-0.04*y+0.06*y=2040
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.02*y=440
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 22000.00 at 6% earns $1320 interest
\n" ); document.write( "x=40000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 18000.00 at 4% earns $720 interest
\n" ); document.write( "Check
\n" ); document.write( "0.04*18000+0.06*22000=2040
\n" ); document.write( "720+1320=2040
\n" ); document.write( "2040=2040
\n" ); document.write( "If 2040=2040 is TRUE and neither x nor y is negative then all is well
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