document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206743>Question 206743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?\r<BR>\n" );
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document.write( "(A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156279 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=156279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ): On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?<BR>\n" );
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document.write( "1st day 1 = 2^0<BR>\n" );
document.write( "2nd day 2 = 2*1<BR>\n" );
document.write( "3rd day 4 = 2^2<BR>\n" );
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document.write( "nth day 2^(n-1)<BR>\n" );
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document.write( "You want to know what the smallest n is that will produce 2^(n-1)> 100<BR>\n" );
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document.write( "Equation: 2^(n-1) = 100<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "(n-1)log(2) = log(100<BR>\n" );
document.write( "(n-1) = log(100)/log(2)<BR>\n" );
document.write( "n-1 = 2/log(2) = 6.644<BR>\n" );
document.write( "n = 7.644<BR>\n" );
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document.write( "She will receive more than 100 on the 8th day and beyond.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " <BR>\n" );
document.write( "(A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day<BR>\n" );
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