I have a 98.1 in my class that includes my final exam, however I have four grades that have not been put in. Two of the rgrades are worth 10% of my grade, and the other two grades are worth 3% of my grade. What grades would i need minimum on these four assignments to keep a 93 in the class?

There is no specific minimum grade needed on the four assignments to maintain a minimum grade of 93 in the class. As long as you score an average of 8.586 or higher on the four assignments, you will maintain a grade of at least 93 in the class.

To calculate the minimum grades you would need on the four assignments to maintain a minimum grade of 93 in the class, we can use the weighted average formula.

Let's denote the grades for the four assignments as follows:

Grade 1 (worth 10%)

Grade 2 (worth 10%)

Grade 3 (worth 3%)

Grade 4 (worth 3%)

We also know that you currently have a grade of 98.1, which includes the final exam.

To maintain a minimum grade of 93 in the class, we can set up the following equation:

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * Grade 3) + (0.03 * Grade 4) + (0.74 * 98.1) = 93

Simplifying the equation:

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * Grade 3) + (0.03 * Grade 4) = 93 - (0.74 * 98.1)

Now, let's substitute the values and solve for the minimum grades needed on the four assignments.

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * Grade 3) + (0.03 * Grade 4) = 93 - (0.74 * 98.1)

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * Grade 3) + (0.03 * Grade 4) = 93 - 72.414

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * Grade 3) + (0.03 * Grade 4) = 20.586

Now, we need to determine the minimum grades needed on each assignment. Since we want to minimize the grades needed, we'll assume that the other grades are perfect (100).

(0.1 * Grade 1) + (0.1 * Grade 2) + (0.03 * 100) + (0.03 * 100) = 20.586

0.1 * Grade 1 + 0.1 * Grade 2 + 0.03 * 100 + 0.03 * 100 = 20.586

0.1 * Grade 1 + 0.1 * Grade 2 + 6 + 6 = 20.586

0.1 * Grade 1 + 0.1 * Grade 2 = 20.586 - 12

0.1 * Grade 1 + 0.1 * Grade 2 = 8.586

Now, we have a system of equations with two unknowns (Grade 1 and Grade 2). To solve it, we can use substitution or elimination. Let's use substitution.

From the equation (0.1 * Grade 1) + (0.1 * Grade 2) = 8.586, we can solve for Grade 1:

Grade 1 = (8.586 - 0.1 * Grade 2) / 0.1

Substituting this value into the equation (0.1 * Grade 1) + (0.1 * Grade 2) = 8.586:

(0.1 * [(8.586 - 0.1 * Grade 2) / 0.1]) + (0.1 * Grade 2) = 8.586

Simplifying the equation:

8.586 - 0.1 * Grade 2 + 0.1 * Grade 2 = 8.586

8.586 = 8.586

This equation is satisfied for any value of Grade 2.

Therefore, there is no specific minimum grade needed on the four assignments to maintain a minimum grade of 93 in the class. As long as you score an average of 8.586 or higher on the four assignments, you will maintain a grade of at least 93 in the class.

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