document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144965>Question 144965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me with these 2 problems?\r<BR>\n" );
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document.write( "1. Acme Electric Company’s monthly bill includes a basic customer charge of $12.00, and a usage charge of $0.07 for each kilowatt hour of electricity supplied. <BR>\n" );
document.write( "	(a) Write an equation that can be used to determine the monthly bill, given the number of kilowatt hours h supplied.\r<BR>\n" );
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document.write( "	(b) Determine the electric bill if 1850 kilowatt hours of electricity are supplied.\r<BR>\n" );
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document.write( "2.  Consider the points (4, –1) and (7, 8).\r<BR>\n" );
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document.write( "	(a) Find the midpoint of the line segment with the given endpoints.\r<BR>\n" );
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document.write( "	(b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places. <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 #105649 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  a.  Since every kilowatt-hour costs $0.07, you simply multiply the number of kw-hrs used by 0.07.  If you used <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > kw-hrs, then the variable cost would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07h ALIGN=MIDDLE  ALT=\"0.07h\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then you need to add the basic charge -- the amount you would have to pay even if you used no electricity at all that month, namely $12.00.  So the formula becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5Bt%5D=0.07h%2B12.00 ALIGN=MIDDLE  ALT=\"C%5Bt%5D=0.07h%2B12.00\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5Bt%5D ALIGN=MIDDLE  ALT=\"C%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the total cost for the month.\r<BR>\n" );
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document.write( "1. b.  Simply substitute 1850 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and do the arithmetic.\r<BR>\n" );
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document.write( "2. a.  Use the midpoint formulas.  Decide which of your points will be number 1 and which number 2 (It doesn't matter which) and then substitute the coordinate values into:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2 ALIGN=MIDDLE  ALT=\"x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2 ALIGN=MIDDLE  ALT=\"y%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to derive the coordinates of the mid-point, <big><b> (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bm%5D ALIGN=MIDDLE  ALT=\"x%5Bm%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bm%5D ALIGN=MIDDLE  ALT=\"y%5Bm%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </big></b>\r<BR>\n" );
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document.write( "2. b.  Use the distance formula.  Again, decide which point will be 1 and which will be 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Leave your answer in terms of the radical if the number is not a perfect square to get the exact answer.  You may want to see if you can simplify the radical by factoring out perfect squares from the radicand.  For example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29=sqrt%284%2A2%29=sqrt%284%29%2Asqrt%282%29=2sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29=sqrt%284%2A2%29=sqrt%284%29%2Asqrt%282%29=2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use your calculator to get a numerical approximation of the square root and then round to three places as instructed.<BR>\n" );
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