Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?
Keep answer simple
Answer:
the company must sell 15 bracelets to break even.
Step-by-step explanation:
To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.
The cost of producing x bracelets is given by the function C(x) = 180 + 8x.
The revenue earned from selling x bracelets is given by the function R(x) = 20x.
To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).
Substituting the given functions:
P(x) = 20x - (180 + 8x).
To simplify the expression, we combine like terms:
P(x) = 20x - 180 - 8x.
Simplifying further, we combine the x terms and the constant terms:
P(x) = 12x - 180.
So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.
To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:
12x - 180 = 0.
Adding 180 to both sides of the equation:
12x = 180.
Dividing both sides by 12:
x = 15.
b. 9
c. 12
d. 15
Answer:
d is the correct answer
Step-by-step explanation:
Answer:
Find the median of the first half of the data
Step-by-step explanation:
a) 36
b) 673
c) 36/15
d) 216V15
Answer:
c) 36√15 cm³
Step-by-step explanation:
We can compute the volume of the pyramid if we know the area of its base, and its height.
__
A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...
A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base
__
Each triangular face will have a slant height that makes its area the same as that of the base.
A = 1/2bh
36 cm² = (1/2)(6 cm)h
(36 cm²)/(3 cm) = h = 12 cm . . . . . divide by the coefficient of h
The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...
(6 cm/2)² +h² = (12 cm)²
h² = (144 -9) cm²
h = 3√15 cm . . . . . height of the pyramid
__
The volume of the pyramid is given by ...
V = 1/3Bh . . . . . . base area B, height h
Using the values we found above, we compute the volume to be ...
V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³
kg
L
fl. oz.