Final answer:
After receiving a 45% on the semester exam, which counts for 10% of the overall grade, the new class grade would be 74.358%, rounded to 74.36%.
Step-by-step explanation:
To calculate your new class grade after receiving a 45% on your semester exam, which accounts for 10% of your overall grade, you first need to scale your current grade and exam grade according to their weight in the overall grade. Your current grade of 77.62% accounts for 90% of your final grade, and the semester exam grade of 45% accounts for 10%.
You can calculate your new grade using the following formula:
(Current Grade × Weight of Current Grade) + (Exam Grade × Weight of Exam Grade) = Overall Grade
(77.62% × 0.9) + (45% × 0.1) = 69.858% + 4.5% = 74.358%
So, your new class grade would be 74.358%, which rounds to 74.36%.