Answer:
25.5454545
Step-by-step explanation:
Answer: After 5 hours, Mary will be at the break even point.
To answer this question, we need to find the time when the cost equals the revenue.
Therefore, set our equations equal to each other and solve.
20 + 30h = 10h^2 - 80
0 = 10h^2 - 30h - 100
0 = h^2 - 3h - 10
0 = (h - 5)(h + 2)
Our solutions are h = 5 or h = -2. Only 5 hours makes sense in the context of this problem.
Answer:
1. her weekly allowance is 16 dollars
Step-by-step explanation:
Using the picture:
Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8
Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6
We know the shape is a right angled triangle:
By applying Pythagoras' Theorem:
let the hypotenuse be x:
x² = 6² + 8²
x² = 36 + 64
x² = 100
Take square root of both sides
√x² = √100
x = 10
Distance between the 2 points = 10 units.
Option D.
<span>a) It is Win with snowfall OR Win without snowfall = 32% + 41% = 73%
b) It is Snowfall on game day AND Win = 29% * 32% = 9.28%
c) It is 32% * 29% / 73% = 12.71 %</span>
