To calculate your overall grade after receiving a score on a test, you can use the following formula:
\[ \text{Overall Grade} = (\text{Current Grade} \times \text{Weight of Current Grade}) + (\text{Test Score} \times \text{Weight of Test Score}) \]
In this case:
- Current Grade = 99%
- Weight of Current Grade = 100% - 19% = 81% (since the test is worth 19%)
- Test Score = 87%
- Weight of Test Score = 19%
Now plug in the values:
\[ \text{Overall Grade} = (99 \times 0.81) + (87 \times 0.19) \]
Calculating each part:
- \( 99 \times 0.81 = 80.19 \)
- \( 87 \times 0.19 = 16.53 \)
Now add those two results together:
\[ \text{Overall Grade} = 80.19 + 16.53 = 96.72 \]
So, your overall grade after the test would be approximately 96.72%.