document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579226>Question 579226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a new game system first came out, it cost $500. Over the next couple of years, however, the price  fell by 5% each month. Write a function to find the cost, C, after m months.<BR>\n" );
document.write( "A)How many months did it take before the price of the game system fell to $200?<BR>\n" );
document.write( "B)What was the cost of the game system after 2 years?\r<BR>\n" );
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document.write( "SOLVE USING LOGARITHMS(: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370905 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "C = 500(1-.05)^n\r<BR>\n" );
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document.write( "n=number of months\r<BR>\n" );
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document.write( "a)\r<BR>\n" );
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document.write( "200 = 500(.95)^n\r<BR>\n" );
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document.write( "2/5 = (.95)^n; take log of both sides\r<BR>\n" );
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document.write( "log (2/5) = n(log .95)\r<BR>\n" );
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document.write( "n = (log 2/5)/(log .95)\r<BR>\n" );
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document.write( "n = 17.86 months\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "n = 24 months\r<BR>\n" );
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document.write( "C = 500(.95)^24<BR>\n" );
document.write( "C = 500(0.291989024)<BR>\n" );
document.write( "C = $146 </SPAN>\n" );
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