document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179439>Question 179439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello dear tutor, \r<BR>\n" );
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document.write( "I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT! \r<BR>\n" );
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document.write( "On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a compter valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.<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 #134395 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=134395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a compter valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.<BR>\n" );
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document.write( "If it depreciates 30% each year it must retain 70% of its value each year.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "A(t) = A(0)*0.70^t<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "2765(0.70)^t < 350<BR>\n" );
document.write( "0.70^t < 0.1265823...<BR>\n" );
document.write( "Taket the log of both sides to get:<BR>\n" );
document.write( "t*log(0.70) < log(0.1265823..)<BR>\n" );
document.write( "Solve for \"t\":<BR>\n" );
document.write( "t > -0.897627.. / -0.1549020<BR>\n" );
document.write( "t > 5.7948 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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