document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62592>Question 62592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1.  Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54\r<BR>\n" );
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document.write( "Q2.  In 2002, 54.1 million tax returns were file electronically.  From 2002 to 2009, the average annual increase in electronic filings is projected to be 6.8%.  If this holds true, what will the number of electronic tax returns be for the next 5 years?\r<BR>\n" );
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document.write( "Q3.   If the area of a triangle kite is 18 square feet and its base is 4 feet, what is the height of the kite?\r<BR>\n" );
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document.write( "Q4.  The Cassini spacecraft mission to Saturn was launched October 15 1997.  It will take more than 6 1/2 years to reach Saturn, arriving in July 2004.  During it mission Cassini will travel a total distance of 2 billion miles in 80.5 months.  What is the average speed of the spacecraft in miles per hour, if I convert 80.5 months to MPH using 1 month = 30 days and then using the formula of d=rt.\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 #43421 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q1. Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54<BR>\n" );
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document.write( "Let the two consecutive integers be: x, (x+2)<BR>\n" );
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document.write( "Write an equation for the statement:<BR>\n" );
document.write( "\"7 times the first exceeds 5 times the second by 54<BR>\n" );
document.write( "7x = 5(x+2) + 54<BR>\n" );
document.write( "7x = 5x + 10 + 54<BR>\n" );
document.write( "7x - 5x = 64<BR>\n" );
document.write( "2x = 64<BR>\n" );
document.write( "x = 32 which is an even integer, so the answer is \"no\"<BR>\n" );
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document.write( "Q2. In 2002, 54.1 million tax returns were file electronically. From 2002 to 2009, the average annual increase in electronic filings is projected to be 6.8%. If this holds true, what will the number of electronic tax returns be for the next 5 years?<BR>\n" );
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document.write( "A = Ao*(1+(%/100))^t<BR>\n" );
document.write( "A = resulting amt<BR>\n" );
document.write( "Ao = initial amt (54.1)<BR>\n" );
document.write( "t = time in years <BR>\n" );
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document.write( "year 1: <BR>\n" );
document.write( "1.068*54.1 = 57.78 million<BR>\n" );
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document.write( "Year 2:<BR>\n" );
document.write( "A = 54.1*(1+.068)^2<BR>\n" );
document.write( "A = 54.1*(1.068)^2<BR>\n" );
document.write( "A = 54.1*1.1406<BR>\n" );
document.write( "A = 61.7 million<BR>\n" );
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document.write( "Year 3:<BR>\n" );
document.write( "A = 54.1*(1.068)^3<BR>\n" );
document.write( "A = 54.1*1.12818<BR>\n" );
document.write( "A = 65.9 million<BR>\n" );
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document.write( "Do year 4 and 5 the same way.<BR>\n" );
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document.write( "Q3. If the area of a triangle kite is 18 square feet and its base is 4 feet, what is the height of the kite?<BR>\n" );
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document.write( "you know the area of a triangle: Area = .5*base*height or: .5*b*h = A<BR>\n" );
document.write( ".5*4*h = 18<BR>\n" );
document.write( "2h = 18<BR>\n" );
document.write( "h = 18/2<BR>\n" );
document.write( "h = 9 ft<BR>\n" );
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document.write( "Q4. The Cassini spacecraft mission to Saturn was launched October 15 1997. It will take more than 6 1/2 years to reach Saturn, arriving in July 2004. During it mission Cassini will travel a total distance of 2 billion miles in 80.5 months. What is the average speed of the spacecraft in miles per hour, if I convert 80.5 months to MPH using 1 month = 30 days and then using the formula of d=rt.<BR>\n" );
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document.write( "r is the speed in mph; you want r = d/t; (time in hrs)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+2000000000%2F%2880.5%2A30%2A24%29 ALIGN=MIDDLE  ALT=\"r+=+2000000000%2F%2880.5%2A30%2A24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000000%2F57960 ALIGN=MIDDLE  ALT=\"2000000000%2F57960\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34,506.6 mph \r<BR>\n" );
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