document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815627>Question 815627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have an overall average of 85% in my class, and the final exam counts for 40% of my final grade, what do I need to get on my final exam to pass the class with above a 70%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491123 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=491123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The final exam counts for 40% of your grade (given). So the remainder of the class assignments (hw, quizzes, etc) is 100% - 40% = 60% of your grade. \r<BR>\n" );
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document.write( "Let x = grade on the final exam\r<BR>\n" );
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document.write( "(weight of exam)*(grade on exam) + (weight of remainder)*(grade of remainder) = desired grade\r<BR>\n" );
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document.write( "(0.40)*(x) + (0.60)*(0.85) = 0.70 ... Note: percentages are converted to decimal form\r<BR>\n" );
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document.write( "(0.40)*(x) + (0.60)*(0.85) = 0.70\r<BR>\n" );
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document.write( "0.40x + 0.51 = 0.70\r<BR>\n" );
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document.write( "0.40x = 0.70 - 0.51\r<BR>\n" );
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document.write( "0.40x = 0.19\r<BR>\n" );
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document.write( "x = 0.19/0.40\r<BR>\n" );
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document.write( "x = 0.475\r<BR>\n" );
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document.write( "So this means you need to get a <font color=\"red\">47.5%</font> or higher on the final exam to get a 70% or higher for an overall grade.\r<BR>\n" );
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document.write( "Note: the 85% is clearly above 70% (quite significantly too), which explains why you're given so much slack and you can get such a low score on the final (and still get away with a decent grade).\r<BR>\n" );
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document.write( "Another Note: your professor may grade on a curve or have other rules for grading (such as dropping the lowest score). It's best to ask the professor directly about questions like this. However, this gives you a basic idea of what you should get. </SPAN>\n" );
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