document.write( "Question 1104080: The amount of money a broker invested in bonds was double of what she invested in a mutual fund. After 1 year, the interest from the bonds was 10% and interest from the mutual fund was 8%. If she earned a total interest of $650, how much was each of her investments? \n" ); document.write( "
Algebra.Com's Answer #718795 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Total yearly interest for the two accounts is: $650 \n" ); document.write( "x=2y \n" ); document.write( "0.1*x+0.08*y=650 \n" ); document.write( "Substitute for x \n" ); document.write( "0.1*(2y)+0.08*y=650 \n" ); document.write( "Multiply out \n" ); document.write( "0.2y+0.08*y=650 \n" ); document.write( "Combine like terms. \n" ); document.write( "0.2y+0.08*y=650 \n" ); document.write( "0.28*y=650 \n" ); document.write( "Isolate y \n" ); document.write( "0.28*y=650 \n" ); document.write( "y=650/0.28 \n" ); document.write( "y=$2321.42857 at 8% \n" ); document.write( "y rounded off \n" ); document.write( "y=$ 2321.43 at 8% \n" ); document.write( "x=2y \n" ); document.write( "x=2*2321.42857 \n" ); document.write( "x=4642.85714+0 \n" ); document.write( "x=$4642.85714 at 10% \n" ); document.write( "x rounded off \n" ); document.write( "x=$ 4642.86 at 10%\r \n" ); document.write( "\n" ); document.write( "x=$ 4642.86 at 10% \n" ); document.write( "y=$ 2321.43 at 8% \n" ); document.write( "Check \n" ); document.write( "0.1*4642.85714+0.08*2321.42857=650 \n" ); document.write( "464.285714+185.714286=650 \n" ); document.write( "650.0=650 \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( " |