document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160623>Question 1160623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As a car ages, its value decreases. The value of a particular car with an original purchase price of $27,200 is modeled by the following function, where c is the value at time t, in years.\r<BR>\n" );
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document.write( "C(t)=27,200(1-0.22)^t\r<BR>\n" );
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document.write( "A. What is the value of the car when it is 3 years old? The value of the car after 3 years is $\r<BR>\n" );
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document.write( "B. What is the total depreciation amount after 5 years? After 5 years, the total depreciation amount is $ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783994 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for value of a car after t years is c(t) = 27,200 * (1 - .22) ^ t<BR>\n" );
document.write( "c is the value of the car.<BR>\n" );
document.write( "t is the number of years.<BR>\n" );
document.write( "what this formula is saying is that the car loses 22% of its value every year.<BR>\n" );
document.write( "when t = 3, the formula becomes c(t) = 27,200 * (1 - .22) ^ 3 = 12,907.8144.<BR>\n" );
document.write( "when t = 5, the formula becomes c(t) = 27,200 * (1 - .22) ^ 5 = 7,853.114281.<BR>\n" );
document.write( "after 5 years, the total depreciaton amount is 27,200 minus 7,853.114281 = 19,346.88572.<BR>\n" );
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