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IrinaVladis [17]
3 years ago
9

According to the History 202 syllabus, the first paper is worth 25% of the course grade, the second paper is worth 20% of the co

urse grade, and the final exam is worth 55% of the overall course grade. Inara earns a 74% on the first term paper, an 99% on the second term paper, and the final exam has not happened yet. What is the lowest grade that Inara would need on the final exam in order to earn at least an 80% in the course?
Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

  76%

Step-by-step explanation:

Let f represent the score on the final. Then Inara wants the final grade to be ...

  0.25·74 +0.20·99 +0.55·x ≥ 80

  38.3 +0.55x ≥ 80

  0.55x ≥ 41.7

  x ≥ 41.7/0.55 ≈ 75.82

Inara needs a final exam grade of 76% or better to earn at least 80% in the course.

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Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

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