MIME-Version: 1.0
Content-Type: multipart/related; boundary="----=_NextPart_01C785B9.4F810D10"

This document is a Single File Web Page, also known as a Web Archive file.  If you are seeing this message, your browser or editor doesn't support Web Archive files.  Please download a browser that supports Web Archive, such as Microsoft Internet Explorer.

------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:w=3D"urn:schemas-microsoft-com:office:word"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DWord.Document>
<meta name=3DGenerator content=3D"Microsoft Word 11">
<meta name=3DOriginator content=3D"Microsoft Word 11">
<link rel=3DFile-List href=3D"2007prob1_files/filelist.xml">
<link rel=3DEdit-Time-Data href=3D"2007prob1_files/editdata.mso">
<link rel=3DOLE-Object-Data href=3D"2007prob1_files/oledata.mso">
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style>
<![endif]-->
<title>Problem 1</title>
<!--[if gte mso 9]><xml>
 <o:DocumentProperties>
  <o:Author>Kevin Windsor</o:Author>
  <o:Template>Normal</o:Template>
  <o:LastAuthor>Kevin Windsor</o:LastAuthor>
  <o:Revision>2</o:Revision>
  <o:TotalTime>2</o:TotalTime>
  <o:Created>2007-04-23T22:08:00Z</o:Created>
  <o:LastSaved>2007-04-23T22:08:00Z</o:LastSaved>
  <o:Pages>1</o:Pages>
  <o:Words>85</o:Words>
  <o:Characters>487</o:Characters>
  <o:Company>Los Angeles City College</o:Company>
  <o:Lines>4</o:Lines>
  <o:Paragraphs>1</o:Paragraphs>
  <o:CharactersWithSpaces>571</o:CharactersWithSpaces>
  <o:Version>11.6568</o:Version>
 </o:DocumentProperties>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:WordDocument>
  <w:SpellingState>Clean</w:SpellingState>
  <w:GrammarState>Clean</w:GrammarState>
  <w:PunctuationKerning/>
  <w:ValidateAgainstSchemas/>
  <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
  <w:IgnoreMixedContent>false</w:IgnoreMixedContent>
  <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
  <w:Compatibility>
   <w:BreakWrappedTables/>
   <w:SnapToGridInCell/>
   <w:WrapTextWithPunct/>
   <w:UseAsianBreakRules/>
   <w:DontGrowAutofit/>
  </w:Compatibility>
  <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
 </w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:LatentStyles DefLockedState=3D"false" LatentStyleCount=3D"156">
 </w:LatentStyles>
</xml><![endif]-->
<style>
<!--
 /* Style Definitions */
 p.MsoNormal, li.MsoNormal, div.MsoNormal
	{mso-style-parent:"";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	font-family:"Times New Roman";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-language:AR-SA;}
p.DefaultText, li.DefaultText, div.DefaultText
	{mso-style-name:"Default Text";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	mso-layout-grid-align:none;
	text-autospace:none;
	font-size:12.0pt;
	font-family:"Times New Roman";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-language:AR-SA;}
span.SpellE
	{mso-style-name:"";
	mso-spl-e:yes;}
span.GramE
	{mso-style-name:"";
	mso-gram-e:yes;}
@page Section1
	{size:8.5in 11.0in;
	margin:1.0in 1.25in 1.0in 1.25in;
	mso-header-margin:.5in;
	mso-footer-margin:.5in;
	mso-paper-source:0;}
div.Section1
	{page:Section1;}
-->
</style>
<!--[if gte mso 10]>
<style>
 /* Style Definitions */
 table.MsoNormalTable
	{mso-style-name:"Table Normal";
	mso-tstyle-rowband-size:0;
	mso-tstyle-colband-size:0;
	mso-style-noshow:yes;
	mso-style-parent:"";
	mso-padding-alt:0in 5.4pt 0in 5.4pt;
	mso-para-margin:0in;
	mso-para-margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman";
	mso-ansi-language:#0400;
	mso-fareast-language:#0400;
	mso-bidi-language:#0400;}
</style>
<![endif]--><!--[if gte mso 9]><xml>
 <o:shapedefaults v:ext=3D"edit" spidmax=3D"2050"/>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"1"/>
 </o:shapelayout></xml><![endif]-->
</head>

<body lang=3DEN-US style=3D'tab-interval:.5in'>

<div class=3DSection1>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'>Problem 1<o:p></o=
:p></span></b></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>Whi=
ch
pre-tax sales totals are charged exactly 25 cents sales <span class=3DGramE=
>tax.</span>
(Assume a tax rate of 8% and that sales tax is rounded to the nearest cent.=
)<o:p></o:p></span></p>

<p class=3DDefaultText><a name=3D"OLE_LINK2"></a><a name=3D"OLE_LINK1"><span
style=3D'mso-bookmark:OLE_LINK2'><span style=3D'font-size:14.0pt;font-famil=
y:Arial'><o:p>&nbsp;</o:p></span></span></a></p>

<p class=3DDefaultText><span style=3D'mso-bookmark:OLE_LINK1'><span
style=3D'mso-bookmark:OLE_LINK2'><span style=3D'font-family:Arial'>[Problem
submitted by Don <span class=3DSpellE>Hentschel</span>, LACC Professor of
Mathematics.]</span></span></span><span style=3D'font-family:Arial'><o:p></=
o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'>Solution for Prob=
lem 1:<o:p></o:p></span></b></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'><o:p>&nbsp;</o:p>=
</span></b></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>Let=
 x =3D the
pre-tax sales total. The minimum value that would round to 25 cents is 24.5
cents; the maximum is 25.5 cents. Therefore we must solve two inequalities.=
<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>Min=
imum:<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><su=
b><!--[if gte vml 1]><v:shapetype
 id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=
=3D"t"
 path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" stroked=3D"f">
 <v:stroke joinstyle=3D"miter"/>
 <v:formulas>
  <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/>
  <v:f eqn=3D"sum @0 1 0"/>
  <v:f eqn=3D"sum 0 0 @1"/>
  <v:f eqn=3D"prod @2 1 2"/>
  <v:f eqn=3D"prod @3 21600 pixelWidth"/>
  <v:f eqn=3D"prod @3 21600 pixelHeight"/>
  <v:f eqn=3D"sum @0 0 1"/>
  <v:f eqn=3D"prod @6 1 2"/>
  <v:f eqn=3D"prod @7 21600 pixelWidth"/>
  <v:f eqn=3D"sum @8 21600 0"/>
  <v:f eqn=3D"prod @7 21600 pixelHeight"/>
  <v:f eqn=3D"sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 <o:lock v:ext=3D"edit" aspectratio=3D"t"/>
</v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi=
dth:113.25pt;
 height:77.25pt' o:ole=3D"">
 <v:imagedata src=3D"2007prob1_files/image001.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D151 height=3D103
src=3D"2007prob1_files/image002.gif" v:shapes=3D"_x0000_i1025"><![endif]></=
sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
025"
  DrawAspect=3D"Content" ObjectID=3D"_1238846094">
 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>The=
refore,
the minimum value is $3.07<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>Max=
imum<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><su=
b><!--[if gte vml 1]><v:shape
 id=3D"_x0000_i1026" type=3D"#_x0000_t75" style=3D'width:113.25pt;height:77=
.25pt'
 o:ole=3D"">
 <v:imagedata src=3D"2007prob1_files/image003.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D151 height=3D103
src=3D"2007prob1_files/image004.gif" v:shapes=3D"_x0000_i1026"><![endif]></=
sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
026"
  DrawAspect=3D"Content" ObjectID=3D"_1238846095">
 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>The=
refore
the maximum value is $3.18<o:p></o:p></span></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

</div>

</body>

</html>

------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/image001.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
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------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/image002.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
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------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/image003.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
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------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/image004.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
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------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/oledata.mso
Content-Transfer-Encoding: base64
Content-Type: application/x-mso
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=

------=_NextPart_01C785B9.4F810D10
Content-Location: file:///C:/753AC871/2007prob1_files/filelist.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"

<xml xmlns:o=3D"urn:schemas-microsoft-com:office:office">
 <o:MainFile HRef=3D"../2007prob1.htm"/>
 <o:File HRef=3D"image001.wmz"/>
 <o:File HRef=3D"image002.gif"/>
 <o:File HRef=3D"image003.wmz"/>
 <o:File HRef=3D"image004.gif"/>
 <o:File HRef=3D"oledata.mso"/>
 <o:File HRef=3D"filelist.xml"/>
</xml>
------=_NextPart_01C785B9.4F810D10--
