document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816630>Question 816630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A clock chimes once after the first minute, again after 2 more minutes, again after 4 more minutes, again after 8 more minutes, again after 16 minutes, etc.  My daughter is in 5th grade and the question is - How many times will the clock chime in 30 days?\r<BR>\n" );
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document.write( "What is the right approach, and please show the work so I can help her walk through it\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491778 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a rather extreme problem for a 5th grader, but i will do my best to help you out.<BR>\n" );
document.write( "you want to start by making a sequence with maybe 5 or 6 numbers.<BR>\n" );
document.write( "The sequence will correspond  with the number of minutes at each chime<BR>\n" );
document.write( "1, 3, 7, 15, 31, 63 ...<BR>\n" );
document.write( "Now you want to find a rule.  This really is a guess and check method.<BR>\n" );
document.write( "For this sequence the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En-1=m ALIGN=MIDDLE  ALT=\"2%5En-1=m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m is the number of minutes that have passed<BR>\n" );
document.write( "n is the number of chimes.<BR>\n" );
document.write( "Looking at the sequence 1, 3, 7, 15, 31, 63...<BR>\n" );
document.write( "The first chime in the sequence n = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E1-1=1 ALIGN=MIDDLE  ALT=\"2%5E1-1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second chime in the sequence n = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2-1=3 ALIGN=MIDDLE  ALT=\"2%5E2-1=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The third chime in the sequence n = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3-1=7 ALIGN=MIDDLE  ALT=\"2%5E3-1=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fourth chime in the sequence n = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4-1=15 ALIGN=MIDDLE  ALT=\"2%5E4-1=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fifth chime in the sequence n = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5-1=31 ALIGN=MIDDLE  ALT=\"2%5E5-1=31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and so forth....\r<BR>\n" );
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document.write( "After the first minute, there is 1 chime.  After 3 minutes, there are 2 chimes.  After 7 minutes, there are 3 chimes.\r<BR>\n" );
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document.write( "Now to solve this equation.  30 days needs to be converted into minutes.<BR>\n" );
document.write( "30 days equals 43,200 minutes.  We are looking for n so we will use this equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En-1=43200 ALIGN=MIDDLE  ALT=\"2%5En-1=43200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En=43201 ALIGN=MIDDLE  ALT=\"2%5En=43201\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you want to use logarithms on each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%5En%29=log%2843201%29 ALIGN=MIDDLE  ALT=\"log%282%5En%29=log%2843201%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Alog%282%29=log%2843201%29 ALIGN=MIDDLE  ALT=\"n%2Alog%282%29=log%2843201%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%28log%2843201%29%2Flog%282%29%29 ALIGN=MIDDLE  ALT=\"n=%28log%2843201%29%2Flog%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=15.398 ALIGN=MIDDLE  ALT=\"n=15.398\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The bell will chime 15 times in 30 days. </SPAN>\n" );
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