The break even point is that where the total cost is equal to the total revenue. To determine the number of hours in which Quick Fix Inc. will have a breakeven, we have to equate the two equations and solve for the value of x,
400 + 220 x = 20x² + 160
The values of x from the equation are 12 and -1. Since, we do not have a negative for the number of hours, our answer is 12 hours.
Answer:
The equation of the line would be y = -1/6x + 1
Step-by-step explanation:
In order to find this, we first need to set the slope. Since the original slope is 6, we know the new slope to be -1/6. This is because perpendicular slopes have opposite and reciprocal slopes. So, we put this and the point into point-slope form.
y - y1 = m(x - x1)
y - -1 = -1/6( x -12)
y + 1 = -1/6x + 2
y = -1/6x + 1
Answer:
D,
Step-by-step explanation:
the volume of a sphere is 4/3πr^3
Answer:
Step-by-step explanation:
<u>As per diagram:</u>
- ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
- m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles
<u>Find the measure of ∠YXZ:</u>
- m∠YXZ = 180° - 2*63° = 54°
<u>Find the bearing of Z from X:</u>
- m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
Answer:
Step-by-step explanation:
<u>Using slope formula to find the value of k:</u>
- (-9 - k)/(-2 - (-4)) = - 9
- (-9 - k)/2 = - 9
- - 9 - k = - 18
- k = 18 - 9
- k = 9
