Answer:
C
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Here diameter = 8 cm , thus r = 8 ÷ 2 = 4 cm , thus
A = π × 4² = 16π cm² → C
Answer:
0.556
Step-by-step explanation:
such easy math
Answer:
a. Yes. The owner made a profit, because R > C when x = 183.
Step-by-step explanation:
(1) Calculate the revenue
R = 26.05x = 26.05 × 183 = 4767.15
(2) Calculate the cost
C = 1500 + 16.75x = 1500 + 16.75 ×183 = 1500 + 3065.25 = 4565.25
(3) Calculate the profit
P = R – C = 4767.1 – 4565.25 = 201.90
P > 0. The owner made a profit, because R > C when x = 183.
In the graphs below, the red line represents costs and the blue line represents revenues.
We see that C > R until we reach the break-even point at 162 units. After 162 units, R > C, and the business makes a profit. This, making 183 units is profitable for the company.
Answer:
y=-12
Step-by-step explanation:
-2(18-3y)=7y+2y
-36+6y=9y
9y-6y=-36
3y=-36
y=-12
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.