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Zepler [3.9K]
2 years ago
11

Determine the intercepts of the line.

Mathematics
1 answer:
katrin2010 [14]2 years ago
6 0

Answer:

When finding the intercepts use your fingers

Step-by-step explanation:

Hope. It help cuz. Because it. Gonna. Help. Me. Get. Some points

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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0
2 years ago
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D
Lady bird [3.3K]

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

8 0
3 years ago
F(x) = (x - 4)(x+2) ?
oee [108]

Answer:

Step-by-step explanation:

f(x) = (x - 4)(x + 2)

f(x) = x^2 + 2x - 4x - 8

f(x) = x^2 - 2x - 8

8 0
3 years ago
Read 2 more answers
ANYONE FEEL LIKE THEY DON'T BELONG
creativ13 [48]

Answer:

all the time

Step-by-step explanation:

3 0
3 years ago
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Plug in the value of x
Inessa [10]

Answer: yes

Step-by-step explanation:

8 0
2 years ago
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