document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232800>Question 232800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is dropped from 10 feet high and always bounces back up half the distance it just fell. After how many bounces will the ball first reach a maximum height less than 1 foot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171981 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball is dropped from 10 feet high and always bounces back up half the distance it just fell. After how many bounces will the ball first reach a maximum height less than 1 foot?<BR>\n" );
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document.write( "B  ht<BR>\n" );
document.write( "1   5<BR>\n" );
document.write( "2   2.5<BR>\n" );
document.write( "3   1.25<BR>\n" );
document.write( "4   0.625<BR>\n" );
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document.write( "On the 4th bounce.<BR>\n" );
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document.write( "h = 10*(1/2)^n<BR>\n" );
document.write( "Use 1 to find n<BR>\n" );
document.write( "10*(1/2)^n = 1<BR>\n" );
document.write( "(1/2)^n = 0.1<BR>\n" );
document.write( "n*log(0.5) = log(0.1)<BR>\n" );
document.write( "n = log(0.1)/log(0.5)<BR>\n" );
document.write( "n = ~ 3.32<BR>\n" );
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document.write( "The nearest next bounce is 4.<BR>\n" );
document.write( " </SPAN>\n" );
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