document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420027>Question 420027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John is in the market for a new car and he’s narrowed his choices down to two: the Toyota Prius and the Hyundai Elantra.  The Prius is advertised at $25,000 and gets 50 miles to the gallon.  The Elantra is advertised at $15,000 and gets 30 miles to the gallon.  \r<BR>\n" );
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document.write( "a) Assume John keeps the car for one year, gas costs a constant $3.00 a gallon, and that he could sell the Prius for $20,000 and the Elantra for $11,000. How many miles must John drive in order to justify purchasing the Prius?\r<BR>\n" );
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document.write( "b) Suppose you take into account that your bank is currently offering a one-year Certificate of Deposit that pays 5%. Now how many miles must he drive to justify purchasing the Prius?\r<BR>\n" );
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document.write( "My answer for a) is:<BR>\n" );
document.write( "(250000-20000) + (n/50)*3 = (15000-11000) + (n/30)*3<BR>\n" );
document.write( "--> n=25000  ( assume n is the miles need to drive in order to...)\r<BR>\n" );
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document.write( "I am not sure the following answer b) if correct<BR>\n" );
document.write( "b)??<BR>\n" );
document.write( " (250000-20000) + (n/50)*3 + 10000*.05 = (15000-11000) + (n/30)*3\r<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 #293568 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=293568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John is in the market for a new car and he’s narrowed his choices down to two: the Toyota Prius and the Hyundai Elantra.<BR>\n" );
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document.write( "The Prius is advertised at $25,000 and gets 50 miles to the gallon. <BR>\n" );
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document.write( "The Elantra is advertised at $15,000 and gets 30 miles to the gallon.<BR>\n" );
document.write( "----- <BR>\n" );
document.write( "a) Assume John keeps the car for one year, gas costs a constant $3.00 a gallon, and that he could sell the Prius for $20,000 and the Elantra for $11,000. How many miles must John drive in order to justify purchasing the Prius?\r<BR>\n" );
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document.write( "Prius cost: P(x) = (25000-20000)+3(x/50) where x is the # of miles driven<BR>\n" );
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document.write( "Elantra cost: E(x) = (15000-11000)+3(x/30)\r<BR>\n" );
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document.write( "Solve P(x) < E(x)<BR>\n" );
document.write( "5000+3x/50 < 4000+x/10<BR>\n" );
document.write( "1000 < 0.04x<BR>\n" );
document.write( "x > 25,000 miles<BR>\n" );
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document.write( " <BR>\n" );
document.write( "b) Suppose you take into account that your bank is currently offering a one-year Certificate of Deposit that pays 5%. Now how many miles must he drive to justify purchasing the Prius? <BR>\n" );
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document.write( "P(x) = 5000 + (3x/50) + 0.05(25000)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "E(x) = 4000 + x/10 + 0.05(15000)<BR>\n" );
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document.write( "Solve P(x) < E(x)<BR>\n" );
document.write( "5000 + (3x/50) + 1250 < 4000 + (x/10) + 750<BR>\n" );
document.write( "1000+ 500 < 0.04x<BR>\n" );
document.write( "x > 37500 miles<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
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