document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564302>Question 564302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is dropped from 30 meters. It bounces to 88 % of its previous height on each bounce. How high will the ball bounce on its 5th bounce? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365315 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To analyze problem, let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the starting height<BR>\n" );
document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+ ALIGN=MIDDLE  ALT=\"+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the fraction of the previous height that <BR>\n" );
document.write( "is the next height<BR>\n" );
document.write( "starting height: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 1st bounce, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2Ah+ ALIGN=MIDDLE  ALT=\"+k%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 2nd bounce, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2A%28k%2Ah%29+ ALIGN=MIDDLE  ALT=\"+k%2A%28k%2Ah%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 3rd bounce, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2A%28k%2A%28k%2Ah%29%29+ ALIGN=MIDDLE  ALT=\"+k%2A%28k%2A%28k%2Ah%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 4th bounce, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2A%28k%2A%28k%2A%28k%2Ah%29%29%29+ ALIGN=MIDDLE  ALT=\"+k%2A%28k%2A%28k%2A%28k%2Ah%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 5th bounce, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2A%28k%2A%28k%2A%28k%2A%28k%2Ah%29%29%29%29+ ALIGN=MIDDLE  ALT=\"+k%2A%28k%2A%28k%2A%28k%2A%28k%2Ah%29%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "This sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2Ah+ ALIGN=MIDDLE  ALT=\"+k%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%5E2%2Ah+ ALIGN=MIDDLE  ALT=\"+k%5E2%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%5E3%2Ah+ ALIGN=MIDDLE  ALT=\"+k%5E3%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%5E4%2Ah+ ALIGN=MIDDLE  ALT=\"+k%5E4%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%5E5%2Ah+ ALIGN=MIDDLE  ALT=\"+k%5E5%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+30+ ALIGN=MIDDLE  ALT=\"+h+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+.88+ ALIGN=MIDDLE  ALT=\"+k+=+.88+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On it's 5th bounce, ball will reach heigh of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.88%5E5+%2A+30+=+.5277%2A30+ ALIGN=MIDDLE  ALT=\"+.88%5E5+%2A+30+=+.5277%2A30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15.832+ ALIGN=MIDDLE  ALT=\"+15.832+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );