All categories

3 years ago

TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,200 and a variable cost of 70 cents/disc.

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer: Therefore, the total cost incurred per month is;

C(x) = 14,200 + 0.7x dollars

Step-by-step explanation:

Given;

Fixed cost Cf = $14,200 per month

variable cost = 70cent/disc

Number of disc manufactured per month = x disc/month.

The total variable cost in a month can be given as;

Cv = 70cent/disc × x disc/month

Cv = 70x cent/month × 1/100cent/dollar

Cv = 0.7x dollar/month

Total cost C = Fixed cost + variable cost

C = Cf + Cv

Substituting the values, we have;

C(x) = 14,200 + 0.7x dollars/month

You might be interested in

What is the value of x to the nearest tenth?

saveliy_v [14]

$\tan(\Theta) = \dfrac{\text{opp}}{\text{adj}}$

$\tan(43) = \dfrac{x}{12}$

$x = \tan(43) \times 12$

$x = 11.2$

7 0

3 years ago

Read 2 more answers

Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

USPshnik [31]

First, expand the terms inside the bracket you will get

$(( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) }$

$16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

5 0

2 years ago

What's The slope intercept form of: x - y = 7

Brilliant_brown [7]

Y=x-7 this is because you subtracted the x to both sides. Since y is a negative, you divide by -1 causing the -x to turn positive and the positive seven to be negative seven.

5 0

4 years ago

Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections a

bulgar [2K]

I could be wrong but i think it is 1998

5 0

4 years ago

Read 2 more answers

How to solve for slope? (pre algebra)

STALIN [3.7K]

Answer:

Ok! When given points, to find the slope, you would use this equation: y2-y1/x2-x1. Let me demonstrate. In this set to find the slope with the coordinates (10,8) and (14,20), the y2 value is 20, and the y1 value is 8, and the x2 value is 14, and the y1 value is 10. So, your equation would look like this: (20-8)/(14-10), which simplifies to 12/4, or 3! So the slope is three, and that's how you do that when using an equation. OR, you could graph them, but that isn't too reliable so I do not recommend trying it, since you may not create the right slope.

4 0

3 years ago