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DaniilM [7]
3 years ago
11

Please help me with this ​

Mathematics
2 answers:
SashulF [63]3 years ago
6 0

Answer:

D

Step-by-step explanation:

ivanzaharov [21]3 years ago
5 0
I need help too this is hard
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6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
3 years ago
Ben is 4 times as old as I Ishaan and is also 6years older than ishaan
777dan777 [17]

Answer:

24

Step-by-step explanation:

4 times 6 =24

7 0
3 years ago
Read 2 more answers
What is the cube of 6.
Svet_ta [14]
The cube of 6 is

6³. 

We need to solve 6³.

To do that you need to multiply 6 by itself 3 times.

6 × 6 × 6 = 216.

So, 6³ = 216.

Hope I helped ya!!!☺☺☺
5 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Katyanochek1 [597]

Answer:

its B

Step-by-step explanation:

pls do not listen to the other person

you have to add the tax so multiplying the two together instead of just adding them would get the same number

(also x+0.05x is literally 1.05x anyway)

hope this helps <3

3 0
3 years ago
A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular
Anna11 [10]

Answer:

Step-by-step explanation:

A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?

7 0
2 years ago
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