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<body lang=3DEN-US style=3D'tab-interval:.5in'>

<div class=3DSection1>

<p class=3DMsoTitle>Math 121</p>

<p class=3DMsoTitle>Sections 4.5, 4.6</p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;mso-hyph=
enate:
none;tab-stops:-.5in'><span style=3D'font-family:"Times New Roman";letter-s=
pacing:
-.15pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp; </span>Solve
each equation.<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;text-ind=
ent:
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style=3D'mso-list:Ignore'>1.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-family:"Times New Roman";
letter-spacing:-.15pt'>16<sup>x-2</sup> =3D 5<sup>3x</sup> <o:p></o:p></spa=
n></p>

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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp; </span><o:p></o:p></span></p>

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ent:
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style=3D'mso-list:Ignore'>2.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'>e</span></i><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'> <sup>x-6</su=
p> =3D
30<o:p></o:p></span></p>

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ps:-.5in'><span
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o:p></span></p>

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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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style=3D'mso-list:Ignore'>3.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-family:"Times New Roman";
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style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
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<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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ent:
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in'><![if !supportLists]><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-list:Ignore'>4.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;text-ind=
ent:
-.25in;mso-list:l3 level1 lfo18;mso-hyphenate:none;tab-stops:-.5in list .25=
in'><![if !supportLists]><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-list:Ignore'>5.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-family:"Times New Roman";
letter-spacing:-.15pt'>The population of a town grows exponentially accordi=
ng
to the function <i style=3D'mso-bidi-font-style:normal'>P(t)</i>=3D 12,400 =
(1.14)<i
style=3D'mso-bidi-font-style:normal'><sup>t</sup></i> , where <i
style=3D'mso-bidi-font-style:normal'>t</i> is the number of years since 199=
0.<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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s:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'>a. Find the
population in 1994?<span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp; </span>_______________<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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s:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'>b. When will =
the
population reach 25,000?<span style=3D'mso-tab-count:1'>&nbsp; </span>_____=
__________<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;mso-hyphenate:none;tab-sto=
ps:-.5in'><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-indent:-.25in;mso-list=
:l3 level1 lfo18;
mso-hyphenate:none;tab-stops:-.5in list .25in left 283.5pt'><![if !supportL=
ists]><span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-list:Ignore'>6.<span style=3D'font:7.0pt "Times New Roman"'>&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-family:"Times New Roman";
letter-spacing:-.15pt'>The equation <sub><!--[if gte vml 1]><v:shape id=3D"=
_x0000_i1027"
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lcolor=3D"window">
 <v:imagedata src=3D"Mworksheet4.5,4.6_files/image005.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D121 height=3D21
src=3D"Mworksheet4.5,4.6_files/image006.gif" v:shapes=3D"_x0000_i1027"><![e=
ndif]></sub><!--[if gte mso 9]><xml>
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027"
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</xml><![endif]--><span style=3D'mso-spacerun:yes'>&nbsp;</span>approximate=
s the
total sales <i style=3D'mso-bidi-font-style:normal'>S</i> in thousands of d=
ollars
<i style=3D'mso-bidi-font-style:normal'>t</i> years after it was introduced=
 on
the market. How long will it take the total sales to reach 130 thousand dol=
lars?<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><span
style=3D'mso-tab-count:3'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span=
><span
style=3D'mso-tab-count:2'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp; </span>_________________
<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

<p class=3DMsoNormal style=3D'mso-hyphenate:none;tab-stops:-.5in 283.5pt'><=
span
style=3D'font-family:"Times New Roman";letter-spacing:-.15pt'><o:p>&nbsp;</=
o:p></span></p>

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