Question

In your English class, essays are 40% of your grade, homework is 20% of your grade, attendance is 5% of your grade, and the final project is 35% of your grade. At the end of the semester, your essay average is 89, your homework average is 94, and your attendance average is 91. What score do you need on the final to get an A- (90%) in the class? (Round your answer to 2 decimal places.)

Answer 1

Solution:
Given in the question
In English class
Essays % of your grade = 40% or 0.4
Homework % of your grade = 20% or 0.2
Attendance % of your grade = 5% or 0.05
Final Grade % of your grade = 35% or 0.35
Also Given Essay Average = 89
Homework Average = 94
Attendance Average = 91
Let's assume Final exam Average score is X to get an A -90% in the class, X can be calculated as
90 = Essays % of your grade*Essay Average + Homework % of your grade*Homework Average + Attendance % of your grade*Attendance Average + Final Grade % of your grade*X
90 = 0.4*89 + 0.2*94 + 0.05*91 + 0.35*X
X = (90-35.6-18.8-4.55)/0.35 = 31.05/0.35 = 88.71
So 88.71 score you need on the final projecct to get an A in the class.