document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124886>Question 1124886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jasmine's car was worth $11,000 at the beginning of 2000 and the value of the car decreased exponentially, decreasing by 20% each year. \r<BR>\n" );
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document.write( "a. Write a function f that determines the value of Jasmine's car (in dollars) in terms of the number of years t since the beginning of 2000.\r<BR>\n" );
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document.write( "b. How many years after the beginning of 2000 was Jasmine's car worth $6,000?\r<BR>\n" );
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document.write( "c. How many years after the beginning of 2000 was Jasmine's car worth $3,400? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741175 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=741175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Jasmine's car was worth $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000 ALIGN=MIDDLE  ALT=\"11000\"   DISABLED_style= \"max-width:90%; height:auto;\" > at the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the value of the car decreased exponentially, decreasing by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" >% each year.\r<BR>\n" );
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document.write( "use depreciation formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+c%281-r%29%5Et ALIGN=MIDDLE  ALT=\"v+=+c%281-r%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v ALIGN=MIDDLE  ALT=\"v\"   DISABLED_style= \"max-width:90%; height:auto;\" > = future value<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = current value<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = depreciation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rate ALIGN=MIDDLE  ALT=\"rate\"   DISABLED_style= \"max-width:90%; height:auto;\" > per period<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of periods\r<BR>\n" );
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document.write( "a. Write a function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" > that determines the value of Jasmine's car (in dollars) in terms of the number of years <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "since the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > to this year, there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   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=v+=+c%281-r%29%5E18 ALIGN=MIDDLE  ALT=\"v+=+c%281-r%29%5E18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if car was worth $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000 ALIGN=MIDDLE  ALT=\"11000\"   DISABLED_style= \"max-width:90%; height:auto;\" > at the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and the value decreasing by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" >%=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.20 ALIGN=MIDDLE  ALT=\"0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" > each year<BR>\n" );
document.write( " this year is worth:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+11000%281-0.20%29%5E18 ALIGN=MIDDLE  ALT=\"v+=+11000%281-0.20%29%5E18\"   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=v+=+11000%280.80%29%5E18 ALIGN=MIDDLE  ALT=\"v+=+11000%280.80%29%5E18\"   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=v+=+198.16 ALIGN=MIDDLE  ALT=\"v+=+198.16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b. How many years after the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > was Jasmine's car worth $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000 ALIGN=MIDDLE  ALT=\"6000\"   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=6000+=+11000%281-0.20%29%5Et ALIGN=MIDDLE  ALT=\"6000+=+11000%281-0.20%29%5Et\"   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=6000+%2F11000=%280.80%29%5Et ALIGN=MIDDLE  ALT=\"6000+%2F11000=%280.80%29%5Et\"   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=6+%2F11=%280.80%29%5Et ALIGN=MIDDLE  ALT=\"6+%2F11=%280.80%29%5Et\"   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=log%286+%2F11%29=log%28%280.80%29%5Et%29 ALIGN=MIDDLE  ALT=\"log%286+%2F11%29=log%28%280.80%29%5Et%29\"   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=log%280.5454545454545455%29=t%2Alog%280.80%29 ALIGN=MIDDLE  ALT=\"log%280.5454545454545455%29=t%2Alog%280.80%29\"   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=t=log%280.5454545454545455%29%2Flog%280.80%29 ALIGN=MIDDLE  ALT=\"t=log%280.5454545454545455%29%2Flog%280.80%29\"   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=t=2.7 ALIGN=MIDDLE  ALT=\"t=2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ->little over <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and half years; so, it was in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2003 ALIGN=MIDDLE  ALT=\"2003\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c. How many years after the beginning of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > was Jasmine's car worth $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3400 ALIGN=MIDDLE  ALT=\"3400\"   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=3400+=+11000%281-0.20%29%5Et ALIGN=MIDDLE  ALT=\"3400+=+11000%281-0.20%29%5Et\"   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=3400+%2F11000=%280.80%29%5Et ALIGN=MIDDLE  ALT=\"3400+%2F11000=%280.80%29%5Et\"   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=34+%2F110=%280.80%29%5Et ALIGN=MIDDLE  ALT=\"34+%2F110=%280.80%29%5Et\"   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=log%2817+%2F55%29=log%28%280.80%29%5Et%29 ALIGN=MIDDLE  ALT=\"log%2817+%2F55%29=log%28%280.80%29%5Et%29\"   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=log%280.3090909090909091%29=t%2Alog%280.80%29 ALIGN=MIDDLE  ALT=\"log%280.3090909090909091%29=t%2Alog%280.80%29\"   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=t=log%280.3090909090909091%29%2Flog%280.80%29 ALIGN=MIDDLE  ALT=\"t=log%280.3090909090909091%29%2Flog%280.80%29\"   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=t=5.3 ALIGN=MIDDLE  ALT=\"t=5.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ->little over <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > years and three months; so, it was in at beginning of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2006 ALIGN=MIDDLE  ALT=\"2006\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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