document.write( "Question 977488: Stephanie invested a total of $11,000 in two accounts. After a year, one account lost 8.6% , while the other account gained 2.6% . In total, Stephanie lost $722 . How much money did Stephanie invest in each account? \n" ); document.write( "

Algebra.Com's Answer #599113 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
Total amount of money invested: $11000
\n" ); document.write( "x+y=11000,
\n" ); document.write( "Total yearly interest for the two accounts is: $-722
\n" ); document.write( "0.026*x-0.086*y=-722
\n" ); document.write( "x=11000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.026*(11000-y)-0.086*y=-722
\n" ); document.write( "Multiply out
\n" ); document.write( "286.0-0.026*y-0.086*y=-722
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.112*y=-1008.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=9000.0
\n" ); document.write( "y=$ 9000.00 loses $774.0 interest at 8.6%
\n" ); document.write( "x=11000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 2000.00 at 2.6% earns $52.0 interest
\n" ); document.write( "Check
\n" ); document.write( "0.026*2000.0-0.086*9000.0=-722
\n" ); document.write( "52.0-774.0=-722
\n" ); document.write( "-722.0=-722
\n" ); document.write( "If -722.0=-722 is TRUE then all is well
\n" ); document.write( "codeintposneg
\n" ); document.write( " \n" ); document.write( "

\n" );