document.write( "Question 120042: If Ben invests $5000 at 5% interest per year, how much additional money must he
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document.write( "invest at 6.5% annual interest to ensure that the interest he receives each year is 5.5% of the total amount invested?\r
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Algebra.Com's Answer #87985 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If Ben invests $5000 at 5% interest per year, how much additional money must he invest at 6.5% annual interest to ensure that the interest he receives each year is 5.5% of the total amount invested? \n" ); document.write( ": \n" ); document.write( "Let x = amt of additional money he has to invest to accomplish this \n" ); document.write( ": \n" ); document.write( "Here is the equation that we want: \n" ); document.write( ": \n" ); document.write( "Money invested at 5% + Money invested at 6.5% = Total money at 5.5% \n" ); document.write( ": \n" ); document.write( ".05(5000) + .065x = .055(x+5000) \n" ); document.write( "250 + .065x = .055x + 275 \n" ); document.write( ".065x - .055x = 275 - 250 \n" ); document.write( ".01x = 25 \n" ); document.write( "x = 25/.01 \n" ); document.write( "x = $2500, additional money to be invested \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using our original equation: \n" ); document.write( "250 + .065(2500) = \n" ); document.write( "250 + 162.5 = 412.50 \n" ); document.write( ": \n" ); document.write( ".055(7500) = 412.50 confirms our solution \n" ); document.write( ": \n" ); document.write( "That was pretty easy, right? \n" ); document.write( " |