if my overall in my class is a 100 and got an 81 on an assignment worth 46% whats my new overall grade

Answer 1

To calculate your new overall grade after receiving an 81 on an assignment worth 46%, you can use the following formula:

\[ \text{New Overall Grade} = \left( \text{Old Overall Grade} \times \text{Weight of Old Overall} \right) + \left( \text{New Grade} \times \text{Weight of New Grade} \right) \]

Let's break it down:

1. Your old overall grade is 100.
2. The weight of the old overall grade is the remaining weight after the assignment, which is \(100% - 46% = 54%\) or 0.54 in decimal.
3. The new grade is 81.
4. The weight of the new grade is 46% or 0.46 in decimal.

Now, plug these numbers into the formula:

\[ \text{New Overall Grade} = (100 \times 0.54) + (81 \times 0.46) \]

Calculating each part:

\[ 100 \times 0.54 = 54 \]

\[ 81 \times 0.46 = 37.26 \]

Now, add both results together:

\[ \text{New Overall Grade} = 54 + 37.26 = 91.26 \]

So your new overall grade is approximately 91.26.