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Your final grade will be 75.6 percent. The new grade is calculated by multiplying the final grade of 75 by 0.3 (30%) and adding it to the existing grade of 74, which is 0.74 x 0.7 (70%). 0.75 x 0.3 + 0.74 x 0.7 = 75.6%.
To calculate the final grade with the given information, you must first convert the existing grade from a percent to a decimal by dividing it by 100. 74 percent is equal to 0.74. Then, you must multiply the existing grade, 0.74, by 0.7, which is 70%. This is the existing grade's portion of the final grade. Next, you must multiply the new grade of 75 by 0.3, which is 30%. This is the new grade's portion of the final grade. Finally, you must add the two portions together. 0.75 x 0.3 + 0.74 x 0.7 = 75.6%. This is the final grade after the new grade is factored in. In this example, the final grade is 75.6%.
Existing grade (74%) = 0.74
Existing grade portion = 0.74 x 0.7 = 0.518
New grade (75%) = 0.75
New grade portion = 0.75 x 0.3 = 0.225
Final grade = 0.518 + 0.225 = 75.6%
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