document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186289>Question 186289</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If there is any way you can help, please do, I am soooo lost.\r<BR>\n" );
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document.write( "Show the equation that you used to solve each problem.  Be sure to say what quantity each variable represents.\r<BR>\n" );
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document.write( "1.	A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet? \r<BR>\n" );
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document.write( "2.	A business invests $8,000 in a savings account for two years.  At the beginning of the second year, an additional $2,500 is invested.  At the end of the second year, the account balance is $11,445.  What was the annual interest rate? \r<BR>\n" );
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document.write( "3.	Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. \r<BR>\n" );
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document.write( "4.	The Hudson River flows at a rate of 5 miles per hour.  A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours.  What is the speed of the boat in still water?\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 #139644 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=139644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet? <BR>\n" );
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document.write( "Draw the picture of a rectangle inside a rectangle.<BR>\n" );
document.write( "Dimensions of the inner rectangle are 15 and 11.<BR>\n" );
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document.write( "Let the uniform width of the path around be \"x\".<BR>\n" );
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document.write( "Dimensions of the outer rectangle are (15+2x) and (11+2x)<BR>\n" );
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document.write( "The area of the path is [(15+2x)(11+2x)-15*11]<BR>\n" );
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document.write( "Equation: [(15+2x)(11+2x)-15*11] = 192<BR>\n" );
document.write( "solve for \"x\"<BR>\n" );
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document.write( "2. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate? <BR>\n" );
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document.write( "8000 + 8000*2r + 2500 + 2500r<BR>\n" );
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document.write( "8000(1+2r) + 2500(1+r) = 11445<BR>\n" );
document.write( "Solve for \"r\"<BR>\n" );
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document.write( "3. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.<BR>\n" );
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document.write( "Original speed DATA:<BR>\n" );
document.write( "distance = 150 miles ; rate = r mph ; time = d/r = 150/r hrs.<BR>\n" );
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document.write( "Increased speed DATA:<BR>\n" );
document.write( "distance = 150 miles ; rate = (r+20) mph ; time = 150/(r+2) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "old time - new time = 2 hrs<BR>\n" );
document.write( "150/r - (150/(r+20) = 2 hrs<BR>\n" );
document.write( "Solve for \"r\"<BR>\n" );
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document.write( "4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?<BR>\n" );
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document.write( "Upriver rate = b-5 ; distance = 40: time = 40/(b-5) hrs<BR>\n" );
document.write( "Downriver rate = b+5 distance = 40; time = 40/(b+5) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "40/(b-5) + 40/(b+5) = 6<BR>\n" );
document.write( "Solve for b<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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