All categories

3 years ago

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function

Mathematics

2 answers:

Serggg [28]3 years ago

8 0

P(x) = 12x – 180

Given:

A company makes and sells charm bracelets.

The cost of producing x bracelets is represented by the function C(x) = 180 +

The revenue earned from selling x bracelets is represented by the function

R(x) = 20x.

Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

P(x) = 12x – 180

Klio2033 [76]3 years ago

5 0

15 bracelets are required to break even.

180+ 8x=20x

180=12x

15=x

Hope this helps!

You might be interested in

If two events are mutually exclusive, why is ? Choose the correct answer below. A. because A and B each have the same probabil

svetlana [45]

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually exclusive, why is ? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

3 0

3 years ago

How to solve this question

VMariaS [17]

The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

 $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

5 0

2 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

andre [41]

Answer:

Option A is correct.

Step-by-step explanation:

If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.

The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T

Therefore, according to the property of similar triangles we can write that

$\frac{NO}{YE} = \frac{OT}{ES} = \frac{NT}{YS}$ .

Therefore, option A is correct.

8 0

3 years ago

Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was

slavikrds [6]

Keywords:

Variables, televisions, generic version, TV brand, dimensions

For this case we have two televisions, one generic version and one brand. We know that the generic version represents $\frac {2} {3}$ the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have:

x: Brand TV length

y: Brand TV width

Dimensions of the generic TV:

$Length = 12\\Width = 24$

So:

$\frac {2} {3} x = 12$

$\frac {2} {3} y = 24$

By clearing the variables we have:

$x = 12 \frac {3} {2} = 18\\y = 24 \frac {3} {2} = 36$

Thus, the dimensions of the brand TV are 18 inches by 36 inches

Answer:

The dimensions of the brand TV are 18 inches by 36 inches

3 0

2 years ago

Read 2 more answers

Lucy rolls 2 fair dice and adds the results from each.

stellarik [79]

Answer:

The probability is 7/36

Step-by-step explanation:

In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.

Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36

Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.

Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.

The probability is thus the number of these additions divided by the total number of outputs= 7/36

7 0

3 years ago

Read 2 more answers