document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922297>Question 922297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The balances of two investments are changing at steady rates. One investment of $1450 is decreasing by $105.75 each month. The other investment of $825 is increasing by $144.25 each month. Write and solve an equation to find how many months it takes the balances of the investments to be the same. Let m represent the number of months. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843975 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The balances of two investments are changing at steady rates. One investment of $1450 is decreasing by $105.75 each month. The other investment of $825 is increasing by $144.25 each month. Write and solve an equation to find how many months it takes the balances of the investments to be the same. Let m represent the number of months.\r<BR>\n" );
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document.write( " One investment of $1450 is decreasing by $105.75 each month.\r<BR>\n" );
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document.write( "B1= 1450-(105.75m)\r<BR>\n" );
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document.write( "The other investment of $825 is increasing by $144.25 each month. <BR>\n" );
document.write( "B2=825+144.25m\r<BR>\n" );
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document.write( "when will B1=B2\r<BR>\n" );
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document.write( "1450-105.75m=825+144.25m\r<BR>\n" );
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document.write( "Rearrange\r<BR>\n" );
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document.write( "1450-825=144.25m+105.75m\r<BR>\n" );
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document.write( "625=250m\r<BR>\n" );
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document.write( "m=625/250=2.5 \r<BR>\n" );
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document.write( " Balances of the two investments will be the same at 2.5 month\r<BR>\n" );
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document.write( " </SPAN>\n" );
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