so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost. The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.
so our cost equation C(x) = 0.5x + 600 <---- items' cost plus overhead.
the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.
so our revenue equation is simply R(x) = 0.85x.
as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).
![\bf \stackrel{R(x)}{0.85x}=\stackrel{C(x)}{0.5x+600}\implies 0.35x=600\implies x=\cfrac{600}{0.35} \\\\\\ x\approx 1714.285714285714\implies \stackrel{\textit{rounded up}}{x=1714}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BR%28x%29%7D%7B0.85x%7D%3D%5Cstackrel%7BC%28x%29%7D%7B0.5x%2B600%7D%5Cimplies%200.35x%3D600%5Cimplies%20x%3D%5Ccfrac%7B600%7D%7B0.35%7D%20%5C%5C%5C%5C%5C%5C%20x%5Capprox%201714.285714285714%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7Bx%3D1714%7D)
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Step-by-step explanation:
We are dealing with theoretical probability. This means that our probability of said outcome is
![\frac{x}{y}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7By%7D%20)
where x is the outcome we want, and y is the total number of outcomes possible.
28. There is 3 triangles out of 6 polygons so the probability is 1/2.
29.There is 1 Pentagon so the probability is 1/6.
30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.
31. There is 4 non quadraletrial so the probability is 2/3.
32. There is 3 figures that has more sides than three so 1/2 is the probability.
33.There is only multi right angles figures so 1/2 is the probability.
34. There is 30 days in April so the probability it's the 29th is
![\frac{1}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B30%7D%20)
35. There is 31 days in July and 15 days after the 16th. So the probability
is
![\frac{15}{31}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B31%7D%20)
Answer:
no
because it doesn't work with the first equation