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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "codeinttm\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |