document.write( "Question 672627: If Ben ivests $4000 at 4% interest per year,how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2% of the total amount invested? \n" ); document.write( "
Algebra.Com's Answer #418252 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
If Ben invests $4000 at 4% interest per year, how much additional money must he
\n" ); document.write( " invest at 5 1/2% annual interest to ensure that the interest he receives each
\n" ); document.write( " year is 4 1/2% of the total amount invested?
\n" ); document.write( ":
\n" ); document.write( "let x = amt of additional money required
\n" ); document.write( ":
\n" ); document.write( ".055x + .04(4000) = .045(x+4000)
\n" ); document.write( ".055x + 160 = .045x + 180
\n" ); document.write( ".055x -.045x = 180 - 160
\n" ); document.write( ".010x = 20
\n" ); document.write( "x = \"20%2F.1\"
\n" ); document.write( "x = $2000 of additional money
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "To check this find the interest from each amt
\n" ); document.write( ".055(2000) + .040(4000) = $270
\n" ); document.write( "Find the interest from the total; $6000
\n" ); document.write( ".045(6000) = $270 \n" ); document.write( "
\n" );