document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172010>Question 1172010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quizzes are worth 15%<BR>\n" );
document.write( "Exams are worth 55%<BR>\n" );
document.write( "Projects are wrorth 25%<BR>\n" );
document.write( "Attendance is 5%\r<BR>\n" );
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document.write( "On quizzes I got 126 out of 150 possible points<BR>\n" );
document.write( "On three  Exams I got 79% 83%, 93% Out of 100%<BR>\n" );
document.write( "On Proects I got 25 out of 27 possible points<BR>\n" );
document.write( "I have perfect attendance\r<BR>\n" );
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document.write( "What is my grade in the class?<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 #796931 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=796931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "On the quizzes you got 126 out of 150, so that leads to 126/150 = 0.84 = 84%<BR>\n" );
document.write( "Quizzes are worth 15% of your grade, so you have 0.84*0.15 = 0.126 = 12.6% of your grade so far just with the quizzes only.\r<BR>\n" );
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document.write( "Exams are worth 55%<BR>\n" );
document.write( "Let's say each of the three exams has the same weight. This would mean each exam is worth (55%)/3 = 18.33% approximately<BR>\n" );
document.write( "Apply this new weight to each exam score and we get:<BR>\n" );
document.write( "0.79*0.1833 = 0.144807<BR>\n" );
document.write( "0.83*0.1833 = 0.152139<BR>\n" );
document.write( "0.93*0.1833 = 0.170469<BR>\n" );
document.write( "Those add up to<BR>\n" );
document.write( "0.144807+0.152139+0.170469 = 0.467415\r<BR>\n" );
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document.write( "So roughly 46.7415% of your grade is from the exams\r<BR>\n" );
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document.write( "Adding that to the quiz percentage we got, we update the total to<BR>\n" );
document.write( "12.6% + 46.7415% = 59.3415%\r<BR>\n" );
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document.write( "Now onto the projects<BR>\n" );
document.write( "They are worth 25%<BR>\n" );
document.write( "You got 25/27 = 0.925926 approx<BR>\n" );
document.write( "So, 0.25*0.925926 = 0.2314815<BR>\n" );
document.write( "This means roughly 23.14815% of your grade is from the projects completed.\r<BR>\n" );
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document.write( "Updating the total gets us<BR>\n" );
document.write( "59.3415% + 23.14815% = 82.48965%\r<BR>\n" );
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document.write( "Finally, you got perfect attendence. So that means you scored 100% on the attendence record and the percent contributed is 1*0.05 = 0.05 = 5%<BR>\n" );
document.write( "So we add on 5% to get the final grade being<BR>\n" );
document.write( "82.48965% + 5% = 87.48965%\r<BR>\n" );
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document.write( "That rounds to an 87%\r<BR>\n" );
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document.write( "Here's how you can do the calculation in one single expression:\r<BR>\n" );
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document.write( "0.15*(126/150)+(0.55/3)*(0.79+0.83+0.93)+0.25*(25/27)+0.05*1 = 0.87498148148149<BR>\n" );
document.write( "This converts to 87.498148148149%\r<BR>\n" );
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document.write( "The result here is slightly off from the previous result of 87.48965% due to rounding error. Both results however round to 87% when rounding to the nearest whole percentage.\r<BR>\n" );
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document.write( "Answer: Final Grade = 87%<BR>\n" );
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