document.write( "Question 810925: Hello! I need help in solving this problem. Please. I have difficulties in solving word problems. Thanks in advance to those who can answer this question. Also, Can you include an explanation in each step.\r
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document.write( "If ben invests $4000 at 4% interest per year, how much additional money must he invest at 5 ½% annual salary interest to ensure the interest he receives each year is 4 ½% of the total amount invested?
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Algebra.Com's Answer #488568 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If ben invests $4000 at 4% interest per year, how much additional money must he invest at 5 ½% annual interest to ensure the interest he receives each year is 4 ½% of the total amount invested? \n" ); document.write( ": \n" ); document.write( "the equation \n" ); document.write( "let x = amt required at 5.5% \n" ); document.write( ".055x + .04(4000) = .045(x+4000) \n" ); document.write( ".055x + 160 = .045(x+4000) \n" ); document.write( ".055x + 160 = .045x + 180 \n" ); document.write( ".055x - .045x = 180 - 160 \n" ); document.write( ".01x = 20 \n" ); document.write( "x = 20/.01 \n" ); document.write( "x = $2000 invested at 5.5% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( ".045(2000+4000) = 270 \n" ); document.write( ".055(2000) + .04(4000) = 270 \n" ); document.write( " |