document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930749>Question 930749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi would you please help me with my homework.\r<BR>\n" );
document.write( "\n" );
document.write( "Suppose that an automobile loses 1/5 of its value each year; that is at the end of a given year the value is 4/5 of the value at the beginning of that year. If a car costs $24,000 new, What is the value at the end of five years?\r<BR>\n" );
document.write( "\n" );
document.write( "My professor said that the answer is $7864. \r<BR>\n" );
document.write( "\n" );
document.write( "Would you please show me the steps on how to solve this problem. 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 #565256 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=565256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This works just like your other question.  v for value after any given t number of years, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=24000%284%2F5%29%5Et ALIGN=MIDDLE  ALT=\"v=24000%284%2F5%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   What is v when t=5?  You could if you wish, compute for each the the five successive years, year by year.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sophisticated way is to either use a calculator or table of logarithms and algebra.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=24000%284%2F5%29%5E5 ALIGN=MIDDLE  ALT=\"v=24000%284%2F5%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=7864 ALIGN=MIDDLE  ALT=\"v=7864\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The long way:<BR>\n" );
document.write( "Year_________________Value<BR>\n" );
document.write( "0_____________________24000<BR>\n" );
document.write( "1_____________________19200<BR>\n" );
document.write( "2_____________________15360<BR>\n" );
document.write( "3_____________________12288<BR>\n" );
document.write( "4______________________9830<BR>\n" );
document.write( "5______________________7863 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );