document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651633>Question 651633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407755 by </B><A HREF=/tutors/aboutme.mpl?userid=Algebraic><B>Algebraic(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Algebraic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Algebraic><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break this down into simpler terms so you can understand.\r<BR>\n" );
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document.write( "You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)<BR>\n" );
document.write( "Total of interest: 536 (this always goes at the end of the equation, after the equal sign)\r<BR>\n" );
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document.write( "Step 1: Let's set up the equation:\r<BR>\n" );
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document.write( "Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)\r<BR>\n" );
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document.write( "0.08x + 0.07(7,000-x)=536\r<BR>\n" );
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document.write( "You're adding both because you want to see how much each account paid together.\r<BR>\n" );
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document.write( "Step 2: Distribute the 0.07 to everything in the parenthesis\r<BR>\n" );
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document.write( "0.08x + 0.07(7,000-x)=536<BR>\n" );
document.write( "0.08x + 490 - 0.07x =536\r<BR>\n" );
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document.write( "Step 3: Combine like terms\r<BR>\n" );
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document.write( "0.08x + 490 - 0.07x =536<BR>\n" );
document.write( "0.01x + 490 =536\r<BR>\n" );
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document.write( "Step 4: Continue combining like terms\r<BR>\n" );
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document.write( "0.01x + 490 =536<BR>\n" );
document.write( "0.01x = 46\r<BR>\n" );
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document.write( "Step 5: Divide both sides by 0.01 to get the 'x' by itself\r<BR>\n" );
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document.write( "0.01x = 46<BR>\n" );
document.write( "x = 4,600\r<BR>\n" );
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document.write( "This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.\r<BR>\n" );
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document.write( "To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x\r<BR>\n" );
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document.write( "7,000-x<BR>\n" );
document.write( "7,000-4,600<BR>\n" );
document.write( "2,400\r<BR>\n" );
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document.write( "So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account. </SPAN>\n" );
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