document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765749>Question 765749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At one boat dealer, she found a boat she likes that sells for $15,000 and depreciates at a rate of <BR>\n" );
document.write( "30% per year. What will be the value of the boat after 3 years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466375 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "you can do it this way:\r<BR>\n" );
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document.write( "In the problem you are given the rate of decrease of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >% or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.30 ALIGN=MIDDLE  ALT=\"0.30\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Each year, the boat is worth <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100-30=70 ALIGN=MIDDLE  ALT=\"100-30=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >% of its value the previous year, so after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >years, its value will be\r<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15000%2A+0.30+=4500 ALIGN=MIDDLE  ALT=\"15000%2A+0.30+=4500\"   DISABLED_style= \"max-width:90%; height:auto;\" > will cost less than year before; so price firs year after is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15000-4500=10500 ALIGN=MIDDLE  ALT=\"15000-4500=10500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "next year value  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10500 ALIGN=MIDDLE  ALT=\"10500\"   DISABLED_style= \"max-width:90%; height:auto;\" > depreciates again for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >%; so new value will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10500%2A0.30=3150 ALIGN=MIDDLE  ALT=\"10500%2A0.30=3150\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so price second  year after is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10500-3150=7350 ALIGN=MIDDLE  ALT=\"10500-3150=7350\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and finally, \r<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7350%2A0.30=2205 ALIGN=MIDDLE  ALT=\"7350%2A0.30=2205\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so price in three years is \r<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7350-2205=5145 ALIGN=MIDDLE  ALT=\"7350-2205=5145\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or use exponential growth/decay formula:\r<BR>\n" );
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document.write( "Since the decay equation takes on the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%5B0%5D%281-k%29%5Et ALIGN=MIDDLE  ALT=\"P=P%5B0%5D%281-k%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can take note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=.30 ALIGN=MIDDLE  ALT=\"k=.30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B0%5D=15000 ALIGN=MIDDLE  ALT=\"P%5B0%5D=15000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Plugging this into the equation, we have \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=15000%281-.3%29%5E3 ALIGN=MIDDLE  ALT=\"P=15000%281-.3%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=5145 ALIGN=MIDDLE  ALT=\"P=5145\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So after 3 years, the car will be worth <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5145 ALIGN=MIDDLE  ALT=\"5145\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );