document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149045>Question 1149045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Valerie's car was worth $13,000 at the beginning of 2010 and decreased by 23% every 4 years after the beginning of 2010.\r<BR>\n" );
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document.write( "What is the 4-year growth factor for the value of Valerie's car?\r<BR>\n" );
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document.write( "What is the 1-year growth factor for the value of Valerie's car?\r<BR>\n" );
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document.write( "Define a function f that determines the value of Valerie's car (in dollars) in terms of the number of years t since the beginning of 2010.\r<BR>\n" );
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document.write( "f(t)=<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770491 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A decrease of 23% means the value is MULTIPLIED by (100%-23%) = 77% = 0.77.<br><BR>\n" );
document.write( "(a) The 4-year growth factor is 0.77.<br><BR>\n" );
document.write( "(b) The 4-year growth factor is the 1-year growth factor, raised to the 4th power; so the 1-year growth factor is the 4-year growth factor to the 1/4 power.<br<><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.77%5E%281%2F4%29+=+.9367 ALIGN=MIDDLE  ALT=\"0.77%5E%281%2F4%29+=+.9367\"   DISABLED_style= \"max-width:90%; height:auto;\" > to a few decimal places.<br><BR>\n" );
document.write( "The value t years after 2010 is the initial value, multiplied by the 1-year growth factor t times.<br><BR>\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+13000%280.09367%29%5Et ALIGN=MIDDLE  ALT=\"f%28t%29+=+13000%280.09367%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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