The profit of that day is (C) P = $3,000.
<h3>
What is profit?</h3>
- A profit is a difference between the revenue generated by an economic entity's outputs and the opportunity costs of its inputs.
- Total revenue minus total cost, including both explicit and implicit costs, equals total revenue.
- Unlike accounting profit, it only refers to the explicit costs that appear on a company's financial statements.
- Accounting profit is calculated by subtracting the firm's total revenue from only the firm's explicit costs.
- When analyzing a firm, an economist considers all opportunity costs, both explicit and implicit.
To find the profit of that day:
Given:
- P = 500x − 20x², where 'x' is the number of machines per day produced.
- If the company produces 10 machines in one day, that is x = 10.
By substituting x = 10 in the above equation, we get:
- P = 500 × 10 - 20 × 10²
- P = 5000 - 2000
- P = 3,000/
Therefore, the profit of that day is (C) P = $3,000.
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Are you referring to a photo ?
Answer:
∠ A ≈ 16.67°
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
, substitute values
= 
( cross- multiply )
16 sinA = 8 sin35° ( divide both sides by 16 )
sin A = 
, thus
∠ A = 
( ) ≈ 16.67° ( to 2 dec. places )
Answers:
- a) 693 sq cm (approximate)
- b) 48 sq cm (exact)
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Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
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Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
Answer:
A. exactly $9.54
Step-by-step explanation:
First add up how much he bought
Sandwich 5.98
drink 2.99
apple 1.49
---------
10.46
Then subtract this from 20
20.00
-10.46
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9. 54
When you get money back, you get exact change.
