document.write( "Question 924459: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 6441 dollars. How much did she invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #560856 by richwmiller(17219)\"\" \"About 
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Total yearly interest for the two accounts is: $6441
\n" ); document.write( "x=2y+0
\n" ); document.write( "0.05*x+0.09*y=6441
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.05*(2y+0)+0.09*y=6441
\n" ); document.write( "Multiply out
\n" ); document.write( "0.1y+0+0.09*y=6441
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.1y+0+0.09*y=6441
\n" ); document.write( "0.1y+0.09*y=6441-0
\n" ); document.write( "0.19*y=6441
\n" ); document.write( "Isolate y
\n" ); document.write( "0.19*y=6441
\n" ); document.write( "y=6441/0.19
\n" ); document.write( "y=$33900 at 9%
\n" ); document.write( "y rounded off
\n" ); document.write( "y=$ 33900.00 at 9%
\n" ); document.write( "x=2y+0
\n" ); document.write( "x=2*33900+0
\n" ); document.write( "x=67800+0
\n" ); document.write( "x=$67800 at 5%
\n" ); document.write( "x rounded off
\n" ); document.write( "x=$ 67800.00 at 5%\r
\n" ); document.write( "\n" ); document.write( "x=$67800.00 at 5%
\n" ); document.write( "y=$33900.00 at 9%
\n" ); document.write( "Check
\n" ); document.write( "0.05*67800+0.09*33900=6441
\n" ); document.write( "3390+3051=6441
\n" ); document.write( "6441=6441
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
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