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20% of a student's final grade for each semester comes from the final semester exam. The average of each quarter is worth 40%. What would a student need to make on the exam if she wanted to have a semester average of at least 92 and the first quarter average was 93; the second quarter's average was 89? (The final average will be rounded up to the NEAREST whole number)

A 96

Each quarter's grade is worth 40% and the final exam is worth 20%.
Use the following equation: 93 × 40% + 89 × 40% + FG × 20% = 92, where
FG is the final exam.
37.2 + 35.6+ 0.2(FG) = 92
0.2(FG) = 19.2
FG 19.2/0.2 = 96

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