document.write( "Question 910824: Larry Mitchell invested part of his $19000 advance at 8% annual simple interest and the rest at 4% annual simple interest. If his total yearly interest from both accounts was $1440, find the amount invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #552686 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Total amount of money invested: $19000
\n" ); document.write( "x+y=19000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1440
\n" ); document.write( "0.08*x+0.04*y=1440
\n" ); document.write( "x=19000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.08*(19000-y)+0.04*y=1440
\n" ); document.write( "Multiply out
\n" ); document.write( "1520-0.08*y+0.04*y=1440
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.04*y=-80
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2000.00 at 4%
\n" ); document.write( "x=19000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 17000.00 at 8%
\n" ); document.write( "Check
\n" ); document.write( "0.08*17000+0.04*2000=1440
\n" ); document.write( "1360+80=1440
\n" ); document.write( "1440=1440
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "code int1
\n" ); document.write( " \n" ); document.write( "
\n" );