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You first need to know how much the final contributes to the total grade. Let that be X%, so the final contributes X/100 to the semester grade, and your work, so far, contributes (1 - X/100).

If G is your average before the final, and F is the grade earned on the final, and T is the total grade:

T = G*(1-X/100) + F*(X/100). Rearranging, we get:

  • F =(T-(1-X/100)*G)/(X/100)

So if the final is worth 25%, {X/100 = 0.25}, and you have an 89, now, substituting in, you would need a 93 on the final to get a 90 for the class.

If the final is worth 25%, and you have an 95, now, you would need a 75 on the final to get a 90 for the class.

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Q: What is the equation to figure out what grade you need on a final?
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