Answer:
surface area of cube is 6a² where a is side of the cube
Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
The way to find the area of a triangle is A=
if the base is 3 feet longer then the height we can write it like this B=H+3
now we can add it to our area equation
20=
20=
40=
+3H
10
=
h=3.2ft
- The answer is A = x since the opposite sides of a rectangle are the same length.
- We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
- On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
- Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below
(5x-3)(9x+2)
5x(9x+2)-3(9x+2)
45x^2+10x-27x-6
45x^2-17x-6
You could also use the FOIL rule to get this answer. The box method is another alternative.
12 x 8 = 96
96/2 = 48
it's an area equation so 48 m^2
