document.write( "Question 560131: I have story problems I have to get an equation for and solve. I try to draw out tables to help me figure out the equations but I have a rough time finding the right spot to put everything in. Can you help me?\r
\n" ); document.write( "\n" ); document.write( "Here is the problem:\r
\n" ); document.write( "\n" ); document.write( "A certain sum of money is invested at 6.35%, and $4000 more than that amount is invested at 7.28%. If the annual interest from the two investments is $972.70, how much was invested at 6.35%?\r
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\n" ); document.write( "\n" ); document.write( "My table I made using the formula I=P*R*T\r
\n" ); document.write( "\n" ); document.write( " I = P * R * T\r
\n" ); document.write( "\n" ); document.write( "INVEST 1 635X X 635 1\r
\n" ); document.write( "\n" ); document.write( "INVEST 2 728(4000-X) 4000-X 1\r
\n" ); document.write( "\n" ); document.write( "TOTAL 972.70 4000 \r
\n" ); document.write( "\n" ); document.write( "Can you please explain what I did wrong and how to do it right and show me what the equation is?\r
\n" ); document.write( "\n" ); document.write( "Thanks!! :)
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Algebra.Com's Answer #363703 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A certain sum of money is invested at 6.35%, and $4000 more than that amount is invested at 7.28%.
\n" ); document.write( " If the annual interest from the two investments is $972.70, how much was invested at 6.35%?
\n" ); document.write( ":
\n" ); document.write( "Let's do it this way
\n" ); document.write( "Let x = amt invested at 6.35%
\n" ); document.write( "then it says,\"$4000 more than that amount, is invested at 7.28%.\" therefore
\n" ); document.write( "(x+4000) = amt invested at 7.28%
\n" ); document.write( ";
\n" ); document.write( ".0635x + .0728(x+4000) = 972.70; this is the equation you want
\n" ); document.write( ".0635x + .0728x + 291.20 = 972.70
\n" ); document.write( ".0635x + .0728x = 972.70 - 291.20
\n" ); document.write( ".1363x = 681.50
\n" ); document.write( "x = \"681.5%2F.1363\"
\n" ); document.write( "x = $5000 invested at 6.35%
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\n" ); document.write( ":
\n" ); document.write( "Check the solution by finding the amt invested on each one
\n" ); document.write( ".0635*5000 = 317.50
\n" ); document.write( ".0728*9000 = 655.20
\n" ); document.write( "===================
\n" ); document.write( "total int: = 972.70
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