document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104560>Question 1104560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average radius (R) of the orbit of a planet around the sun is<BR>\n" );
document.write( "determined by R = T&#8532;<BR>\n" );
document.write( ", where T is the number of years for one orbit and<BR>\n" );
document.write( "R is measured in astronomical units (AU).<BR>\n" );
document.write( " a. If it takes Neptune 164.97 years to make one orbit of the sun,<BR>\n" );
document.write( " then what is the average radius of the orbit of Neptune?<BR>\n" );
document.write( " b. If the average radius of the orbit of Pluto is 39.53 AU, then<BR>\n" );
document.write( " how many years does it take Pluto to complete one orbit of the<BR>\n" );
document.write( " sun? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719356 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average radius (R) of the orbit of a planet around the sun is determined by R = T^&#8532;, where T is the number of years for one orbit and R is measured in astronomical units (AU).<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. If it takes Neptune 164.97 years to make one orbit of the sun,<BR>\n" );
document.write( "then what is the average radius of the orbit of Neptune?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+164.97%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"R+=+164.97%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "calculate<BR>\n" );
document.write( "R = 30.079 AU <BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. If the average radius of the orbit of Pluto is 39.53 AU, then<BR>\n" );
document.write( "how many years does it take Pluto to complete one orbit of the sun? <BR>\n" );
document.write( "let t = no. of years<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"t%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 39.53<BR>\n" );
document.write( "Using natural logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28t%5E%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"ln%28t%5E%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ln(39.53)<BR>\n" );
document.write( "the log equiv of exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*ln(t) = ln(39.53)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*ln(t) = 3.677056<BR>\n" );
document.write( "ln(t) = 3.677056*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ln(t)= 5.5156<BR>\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex ALIGN=MIDDLE  ALT=\"e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 248.54 years to orbit the sun<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );