Answer:
%82.5
Step-by-step explanation:
- The final exam of a particular class makes up 40% of the final grade
- Moe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam.
From point 1 we know that Moe´s grade just before taking the final exam represents 60% of the final grade. Then, using the information in the point 2 we can compute Moe´s final grade as follows:
,
where FG is Moe´s Final Grade and FE is Moe´s final exam grade. Then,
.
So, in order to receive the passing grade average of 60% for the class Moe needs to obtain in his exam:
That is, he need al least %82.5 to obtain a passing grade.
379.94 rounded to the nearest tenth is = 379.9
First you need to make a multiplier:
1-(12/100) = 0.78
Then you multiply the price by 1.12 to get the final answer;
22 * 0.78 = 17.16
This means it cost $17.16 after the 12% sales tax.
Hope this helps! :)
Answer:
x = 0 or 1 or -2
Step-by-step explanation:
x(x^3-3x+2)=0
x(x-1)^2 * (x+2)0
so x = 0 or 1 or -2
there is no imaginary solutions
Answer:
Alternate Interior Angles
Step-by-step explanation:
Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.
Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.
Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.
Therefore, we are left with Alternate Interior Angles.