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Tpy6a [65]
4 years ago
6

Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance.

A sold-out performance brings in $8000. Determine the number of soldout performances, x, needed to break even.
Mathematics
1 answer:
Dima020 [189]4 years ago
3 0

Answer:

14

Step-by-step explanation:

Given that Steve  invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.

Sales per performance =8000

Production cost per performance =2000

Contribution per performance = 8000-2000=6000

Overhead costs = 84000

Break even units = overhead cost/contribution per performance

= \frac{84000}{6000} \\=14

14 performances should be done to break even

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-2 + y ≤ -3 on number line
liq [111]
I think it should be something like this

4 0
4 years ago
The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Arturiano [62]

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are \frac{1}{2x + 1 }    and \frac{1}{2x + 3 }

\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

44x² - 395x - 450 = 0

8 0
3 years ago
An investment was valued at $11,000 in the year 1995. The value appreciated to $14,000 by the year 2008. What was the annual gro
Phantasy [73]
16,000 I think . Hope it helps
5 0
3 years ago
Which of the following best explains why
Dima020 [189]

We can see values of angles in degrees first

\frac{5\pi}{6}   = \frac{5 \times 180}{6}= \frac{900}{6} = 150°

Similarly

\frac{5\pi}{3}   = \frac{5 \times 180}{3}= \frac{900}{3} = 300°

Now reference angle means positive acute angle they will have

As we can see in attachment 150° lies in second quadrant so its reference angle will be 180°-150° = 30° from x axis line as shown.

Where as angle 300° lies in fourth quadrant so its reference angle will be 360° - 300° = 60° from x axis as shown. So clearly both reference angles are different . So 1st choice " angles donot have same reference angle" best explains it

Choice (2) and (3) are incorrect as tan is positive only in first and third quadrants and angle 300° is in fourth quadrant.

since angle 150° is in second quadrant and 300° is in fourth quadrant so both will have same negative sign so choice (4) is not correct.

So final ansewr is choice (1) "the angles donot have same reference angle"

8 0
4 years ago
Can someone please answer this!!!!
alexandr402 [8]

Step-by-step explanation:

\frac{y}{20 \sqrt{3} }  =  \sin(30)

y = 20 \sqrt{3}  \times   \frac{1}{2}

y = 10 \sqrt{3}

\frac{x}{20 \sqrt{3} }  =  \cos(30)

x = 20 \sqrt{3}  \times  \frac{ \sqrt{3} }{2}

x = 30

option D, x=30 and y = 10√3

3 0
3 years ago
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