document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172780>Question 172780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A broker invested $13,000 in two different stocks. One earned dividends at a rate of 8% and the other at 7%. If a dividend of $1370 was earned on both stocks, how much was invested at each rate?<BR>\n" );
document.write( "I set up the equation as follows:<BR>\n" );
document.write( " Quantity(amount Invested)::<BR>\n" );
document.write( "StockA =      A<BR>\n" );
document.write( "StockB =  $13000 – A <BR>\n" );
document.write( "Value(Interest rate):<BR>\n" );
document.write( " StockA =   0.08 <BR>\n" );
document.write( " StockB =   0.07<BR>\n" );
document.write( "Quantity * Value:<BR>\n" );
document.write( "StockA = .08A<BR>\n" );
document.write( "StockB = 0.07($13000 – A)= 910 -.07A [WHERE DID YOU GET THE 910 TERM?????]<BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "0.08A + 910 – 0.07A = $1370<BR>\n" );
document.write( "910 + 0.01A = $13000 = $1370 <BR>\n" );
document.write( "0.01A = $460<BR>\n" );
document.write( "A = $46,000  ???? \r<BR>\n" );
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document.write( "Here is where I am lost because the broker only had $13,000 to invest. $46,000 > $13,000. What’s wrong???<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127620 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am guessing that there must be some missing info (like maybe investing for more than a single year).\r<BR>\n" );
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document.write( "It \"doesn't work\" because given the numbers you have - \"you can't get there from here\".\r<BR>\n" );
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document.write( "Let's say the broker put the entire amount at 8% for a year. In that case, the interest is 13000*08 = 1040. Which is less than the value the problem stated was returned.\r<BR>\n" );
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document.write( "The math does not lie. The reason 46000>13000 is because the math, as provided, doesn't \"work\".\r<BR>\n" );
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document.write( "When you get an answer that doesn't make sense, like 5 = 7 or somesuch, then that means \"you can't do whatever was being suggested could be done\".\r<BR>\n" );
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document.write( "The fact that you were aware enough to realize that the answer is not 46000 and -33000 shows you are on the right track mathematically. Good for you! </SPAN>\n" );
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