document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691505>Question 691505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a 77%overall in my math class right now. My final is worth 10% of my grade. It is out of 100 points. I have to have a 70% overall to pass the class. What is the lowest grade i could get on my final to pass the class with at least 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 #426729 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=426729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = grade (as a percentage) you get on the final test\r<BR>\n" );
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document.write( "Your final is worth 10% of your grade. The remaining stuff is worth 90% of your grade\r<BR>\n" );
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document.write( "( 90% of Grade you have Now ) + ( 10% of final ) = Final Overall Grade\r<BR>\n" );
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document.write( "( 90% of 77% ) + ( 10% of x ) = Final Overall Grade\r<BR>\n" );
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document.write( "( 0.90 * 0.77 ) + ( 0.10 * x ) = Final Overall Grade\r<BR>\n" );
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document.write( "Final Overall Grade = ( 0.90 * 0.77 ) + ( 0.10 * x )\r<BR>\n" );
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document.write( "Final Overall Grade = 0.693 + 0.10x\r<BR>\n" );
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document.write( "You want your final grade to be at least a 70%, so you want this\r<BR>\n" );
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document.write( "(Final Overall Grade) > 70%\r<BR>\n" );
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document.write( "(Final Overall Grade) > 0.70\r<BR>\n" );
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document.write( "(0.693 + 0.10x) > 0.70\r<BR>\n" );
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document.write( "0.693 + 0.10x > 0.70\r<BR>\n" );
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document.write( "0.10x > 0.70 - 0.693\r<BR>\n" );
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document.write( "0.10x > 0.007\r<BR>\n" );
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document.write( "x > 0.007/0.10\r<BR>\n" );
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document.write( "x > 0.07\r<BR>\n" );
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document.write( "So you need at least 7% on the final test to get at least a 70% overall.\r<BR>\n" );
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document.write( "Note: you may be thinking that 7% is very very small (too small), but keep in mind that the final is only worth 10% and the bulk of the points are from the remaining 90% (of hw and previous tests/quizzes), so this final doesn't have that much weight compared to finals that are 30%, 40% or 50% of your grade. </SPAN>\n" );
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