A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?

Answers

Answer 1

A. The profit for each camera itself is $5 a camera. So, to make $2,100 dollars they would have to sell 420 cameras (2,100 / 5 = 420).

B. If they sold an extra 50 cameras a day, since they make $5 a camera, that would give them an extra profit of $250 a day.

Answer 2

A. The company must sell 420 cameras, to make it equal to daily costs.
B. For making 50 more cameras each day, they'd make $250 dollars more per 50 cameras.

A. To find this, you can simply multiply 420 by $14. This will give you how much they make from selling that many cameras ($5,880). Next you need to multiply 420 by 9 (labor an material cost per camera), then add $2,100 (expenses). This will give you the same cost ($5,880), thus making them equal, and proving 420 is the answer.

B. To find this, you do the same steps as above, by replacing 420 with 470, (470*$14 = $6,580) and (470*9 + $2,100 = $6,330). Then you subtract $6,330 from $6,580. Thus getting $250.

I hope this helps!

Related Questions

Suppose that 5 green balls and 12 purple balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a purple ball if the first ball is replaced before the second is drawn?

Answers

If the first ball is replaced and that we are not concern about the color of the first ball, then there is no concern for the first ball at all.

Total number of balls = 5 + 12 = 17
Total number of purple balls = 12

P(second one is purple) = 12/17

Answer: 12/17

Uisng the concept of probability, the probability that the second ball drawn is purple is 12/17

Given the Parameters :

Number of green balls = 5 Number of purple balls = 12

Total number of balls = 12 + 5 = 17

Recall :

Probability = required outcome / Total possible outcomes

Since selection is made with replacement :

P(purple) = number of purple balls / total number of balls

P(purple) = 12/17

Therefore, the probability of drawing a purple ball is 12/17

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a piece of baseboard is 2/3 yard long. Angela cuts the board into pieces that are 1/6 yard long. How many pieces are there

Answers

namely, how many times does 1/6 go into 2/3, well

[tex]\bf \cfrac{\quad \frac{2}{3}\quad }{\frac{1}{6}}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4[/tex]

One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?

Answers

The amount of calories that are in 6 grams of crackers is 30 grams.

What is the amount of calories in the crackers?

Division is the mathematical operation that is used to determine the quotient of a number. It is the process of grouping a number into equal parts using another number.

Calories in 6 grams = (150 / 30) x 6 = 30 grams

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ2

Final answer:

To find the calories in 6 grams of Mike's crackers, divide the total calories by the total mass of one serving to get the unit rate (5 calories/gram) and then multiply by the mass in question (6 grams) to obtain 30 calories.

Explanation:

The question asks how many calories are in 6 grams of Mike's crackers, given that one serving of 30 grams has 150 calories. To find the calories in 6 grams of the crackers, we can use unit rate and proportions.

Step-by-Step Calculation

First, determine the calories per gram of the crackers by dividing the total calories by the total mass (in grams) of one serving. This gives us the unit rate: 150 calories / 30 grams = 5 calories per gram.

Next, since we're asked about the calories in 6 grams, we multiply the calories per gram (unit rate) by the mass: 5 calories/gram × 6 grams = 30 calories.

Therefore, there are 30 calories in 6 grams of Mike's crackers. This calculation illustrates the utility of understanding proportions and unit rates in everyday applications such as determining caloric intake from portions of food.

A cleaner recommends mixing 1 1/2 cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?

Answers

The ratio of cleaner to water will be given by:
cleaner:water
1 1/2:12
simplifying the above we get:
3/2:12
multiplying both sides by 2 we get:
2×3/2:12×2
3:24
hence the answer is 3:24

what is the area of a square with a radius of 9 cm

Answers

the answer would be 254.34

squares don’t have radius’, circles do. If you mean the length of one side is 9, then the area would be 81cm squared.

If you mean the area of a circle with a 9cm radius, then it would be 254.34 cm squared.

The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this rectangle.

Answers

If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.

Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.

There are 12 people having lunch.Each person wants 1/3 of a sub sandwich.How many whole sub sandwiches are needed ?use models to show answer.

Answers

12 people * (1/3 sandwich per person) = 4 sandwiches

3 and 2/3. 4 if the looking for a whole number

How do you evaluate this equation: a number decreased by the difference of m and 7? Please help and quick!!

Answers

Let n be the number.

A number decreased by the difference of m and 7 can be translated into mathematical expression as

[tex]n-\left(m-7\right)[/tex]

in the plane figure shown below. if the degree measures of the angle are as shown, then x+y=

Answers

we know that

the sum of the internal angles in the figure shown is 360 degrees
so
360°=100°+60+70°+y+80°+x
360°=(x+y)+310°
(x+y)=360°-310°-----> 50°

the answer is
x+y is 50°

A listing of all possible outcomes of an experiment and their corresponding probability of occurrence is called

Answers

A listing of all possible outcomes of an experiment and their corresponding probability of occurrence is called Probability distribution

The listing of all possible outcomes for an experiment is known as a probability distribution.

The following information is related to the probability distribution is:

It is the table or an equation that is connected with each and every result of the statistical experiment along with the probability of occurrence.Also, it is the list of all possible experiment results.

Therefore we can conclude that the listing of all possible outcomes for an experiment is known as a probability distribution.

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Let , 4 ,− 7 be a point on the terminal side of θ . find the exact values of cos θ , csc θ , and tan θ .

Answers

Ok, you are given a point and you need to find the exact values for [tex]cos \theta csc \theta & tan \theta[/tex]

First thing first. We need to see if we are working with a unit circle and find the radius.

How to tell if we are working with a unit circle?
We know [tex]x^2 + y^2 = r^2[/tex] is a circle.

We know that to find the radius we can use the following formula:
[tex]r^2 = \sqrt{x^2 + y^2}[/tex]

If [tex]r^2 = \sqrt{x^2 + y^2} = 1[/tex] we are working with a unit circle.

Lets see if it = 1.
[tex]r^2 = \sqrt{4^2 + -7^2}[/tex]
[tex]r^2 = \sqrt{16 + 49}[/tex]
[tex]r^2 = \sqrt{65}[/tex]

Square both sides now
[tex]\sqrt{r^2} = \sqrt{\sqrt{65}}[/tex]
[tex]r = \pm 65^{\frac{1}{4}}}[/tex]

Since we squared, we have a + and a - but we disregard the - because we do not have - radii
[tex]r = 65^{\frac{1}{4}}}[/tex]
We can also say
[tex]r = \sqrt[4]{65}[/tex]

Ok, since r does not equal 1, we are not working with a unit circle but we have found r, which is our radius.

Now that we know the value of r, which is [tex]r = 65^{\frac{1}{4}}}[/tex], we need to look at the identities of cos, csc and tan.

The identities:
[tex]cos \theta = \frac{x}{r}[/tex]
[tex]csc \theta = \frac{1}{y}[/tex]
[tex]tan \theta = \frac{y}{x}[/tex]

Now that we know their identities and know the radius of our circle, we can find the exact values of cos, csc and tan.

[tex]cos \theta = \frac{x}{r} = \frac{4}{65^{\frac{1}{4}}}[/tex]
[tex]csc \theta = \frac{1}{y} = \frac{1}{-7}[/tex]
[tex]tan \theta = \frac{y}{x} = \frac{-7}{4}[/tex]

The exact values for cos, csc and tan given the point (4,-7) are:
[tex]cos \theta = \frac{4}{65^{\frac{1}{4}}}[/tex]
[tex]csc \theta = \frac{1}{-7}[/tex]
[tex]tan \theta = \frac{-7}{4}[/tex]

The exact values are [tex]\cos \theta = \frac{4\sqrt{65}}{65}[/tex], [tex]\csc \theta = \frac{\sqrt{65}}{4}[/tex] and [tex]\tan \theta = -\frac{7}{4}[/tex], respectively.

Let be a Point of the form [tex](x,y)[/tex] that is the Terminal Side of angle [tex]\theta[/tex], in sexagesimal degrees. By Trigonometry, we know that the Cosine, Cosecant and Tangent of the Angle are, respectively:

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex] (2)

[tex]\tan \theta = \frac{y}{x}[/tex] (3)

If we know that [tex]x = 4[/tex] and [tex]y = -7[/tex], then the exact value of all the trigonometric relations are:

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\cos \theta = \frac{4}{\sqrt{4^{2}+(-7)^{2}}}[/tex]

[tex]\cos \theta = \frac{4\sqrt{65}}{65}[/tex]

[tex]\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex]

[tex]\csc\theta = \frac{\sqrt{4^{2}+(-7)^{2}}}{4}[/tex]

[tex]\csc \theta = \frac{\sqrt{65}}{4}[/tex]

[tex]\tan \theta = \frac{y}{x}[/tex]

[tex]\tan \theta = -\frac{7}{4}[/tex]

The exact values are [tex]\cos \theta = \frac{4\sqrt{65}}{65}[/tex], [tex]\csc \theta = \frac{\sqrt{65}}{4}[/tex] and [tex]\tan \theta = -\frac{7}{4}[/tex], respectively.

Please see the related question for further details: https://brainly.com/question/15225546

find the length of the side f .

Answers

I am pretty sure the answer is 10. Someone correct me if I'm wrong
[tex]10 {}^{2} + 15 {}^{2} = 18 {}^{2} \\ 100 + 225 = 325 \\ \sqrt{325} = 18 [/tex]

The length of side "f" would be about 9.95.

Using Pythagorean Theorem, you have the hypotenuse or side "c" (18) which is longest side. You also have side "b" (15).
Since the equation is "a^2 + b^2 = c^2”, fill in for "b" and "c" giving "a^2 + 15^2 = 18^2"
Solve for "a". Square each known value, leaving "a^2 + 225 = 324". Subtract 225 from each side, leaving "a^2 = 99" then use the square root on each side. Thus getting "a = 9.94987..., which rounded up is 9.95.

I hope this helps!

Under what circumstances is a t statistic used instead of a z score for a hypothesis test

Answers

If you know the population standard deviation sigma, then you'd use the z score. Otherwise, you would use a t statistic. However, if n is large enough (usually n > 30), then you can approximate the T distribution with the normal Z distribution. Some stats textbooks will allow the use of a z score if n > 30. Though it will depend on your specific book and/or your teacher.

A rancher has 300 feet of fencing to enclose a pasture bordered on one side by a river. the river side of the pasture needs no fence. find the dimensions of the pasture that will produce a pasture with a maximum area.

Answers

I think your best answer is a pasture that is 75 feet by 150 feet, which will give you 11,250 sq ft of pasture

four friends share 3 fruits bars equally how much does each friend get

Answers

3/4 = 0.75

each friend gets 0.75 of a bar

They each would get 3/4

A soccer ball is kicked from the ground in an arc defined by the function, h(x) = -2x 2 + 8x. At what point does the ball hit the ground?

Answers

check the picture below. That's about what a parabola for an "initial velocity" case would look like.

anyhow, it hits the ground at two points, when it began, and when it came back down, and that happens when y = 0.

[tex]\bf h(x)=-2x^2+8x\implies \stackrel{h(x)}{0}=-2x^2+8x\implies 0=-2x(x-4)\\\\ -------------------------------\\\\ 0=-2x\implies 0=x\qquad \impliedby \textit{when it began}\\\\ -------------------------------\\\\ 0=x-4\implies \boxed{4=x}\qquad \impliedby \textit{when it came back down}[/tex]

Answer:

4 seconds

Step-by-step explanation:

h(t) = -3t^2 + 12t

0 = -3t^2 + 12t

0 = -3t(t - 4)

0 = t - 4

t = 4

Therefore, it takes 4 seconds for the rocket to hit the ground.

hope it helps :)

mark brainliest!

is this correct if not help me

Answers

So far, so good.

You have properly counted squares and circles.

When subtracted, what is the simplified form of (5 − 3i) − (4 + 6i)? Write the answer in standard form, a + bi, where a and b are real numbers.

Answers

(5 - 3i) - (4 + 6i) Remove the brackets. Be careful with those on the right.
5 - 3i - 4 - 6i Did you notice how the second set worked. That - sign affected both terms inside the brackets. Now collect your like terms.

5 - 4 - 3i - 6i The - 3i and - 6i act like money. You are three dollars in the hold and you spend another 6. Where does that put you ?
1 - 9i You are now 9 dollars in the whole.

hey can you please help me posted picture of question

Answers

The correct answer is the option B.To solve this problem you must apply the proccedure shown below:

1. You have the following expression:

(11-7i)-(16-11i)

2. If you want to substract both terms, you need to substract the real numbers and the complex numbers. Then, you obtain:

11-7i-16+11i
(11-16)+(-7+11)

3. Then, you obtain the following result:

-5+4i

4. Therefore, as you can see, the correct answer is the second option (option B), which is:

B. -5+4i

Correct answer is option B.

Solution is shown below:

To add or subtract two complex numbers, the real part is added or subtracted from real part and the complex part is added to or subtracted from complex part as shown below:

(11 - 7i) - (16 - 11i)

= 11 - 7i - 16 + 11i

= -5 + 4i

So, the answer to this question is option B

"you want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at a 9.2 percent apr. what will your monthly payment be"

Answers

the answer would be $1,284.13

Answer: $1,284.13

Step-by-step explanation:

The amount of money that a student at harvard university carries on his/her person is normally distributed with a mean of $25 and a standard deviation of $15. what is the probability that a randomly selected sample of 25 harvard university students will have an average amount of less than $22 on his/her person?

Answers

Mean, m = $25
Standard deviation, s = $15
Sample size, n = 25 students
X <$22

Now,
Z = [(X - m)*Sqrt (n)]/s = [(22-25)*Sqrt(25)]/15 = -1

From Z tables,
P(X) = P(Z = -1) = 0.1587 = 15.87%

Therefore, probability that the selected sample has an average of less than $22 is 15.87%.

I have two bags. bag 1 contains 1010 blue marbles, while bag 2 contains 1515 blue marbles. i pick one of the bags at random, and throw 66 red marbles in it. then i shake the bag and choose 55 marbles (without replacement) at random from the bag. if there are exactly 22 red marbles among the 55 chosen marbles, what is the probability that i have chosen bag 1

Answers

55 blue or red marbles,

55-22 = 33 blue marbles

bag1+bag2= 2525

bag1=.4

33/55=.6 blue marbles

bag 2=.6

so it is 40% that U choose bag 1

with an 18% discount, George was able to save 13.23 what was the original price

Answers

The original price is 74! Hope this helps!

18% = $13.23

1% = $13.25 ÷ 18 = $0.7361

100% = $0.7361 x 100 = $73.61

Answer: $73.61

Which graph best represents the equation -4x + 5y = 10?

Answers

Do you have a photo to show the separate graphs?

Answer: these are the graphs and i need the answer

Step-by-step explanation:

What is the area of this figure?

Answers

As stated by @mathmate, the figure can be split into two rectangles (see picture). Then, we can find the total area by adding the areas of the individual rectangles. The area of the first rectangle is calculated by multiplying its length times width:

6 * 5 = 30

The area of the second rectangle is calculated by multiplying its length and width:

12 * 4 = 48

Now, we can add the areas to find the total area of the figure:

30 + 48 = 78

The figure's area is 78 cm².

a game has a deck of cards with 10 red cards, 4 blue cards, and 2 yellow cards. you randomly choose two cards(choose one and choose the second one without replacement) find the probability of choosing a blue card and a yellow card

Answers

[tex] \displaystyle
|\Omega|=\binom{16}{2}=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{120}=\dfrac{1}{15}\approx7\% [/tex]

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages

Answers

What you have to do to find the median of the data is first put that data into order numerically. You can go largest to smallest or smallest to largest, it doesn't matter.

22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50

Once you put them into order, you count towards the middle. You have 25 data points, so the middle, which will be your median number, will be 13 points in.

The median is 38

Final answer:

The median age of the sales representatives is 37.5 years.

Explanation:

To find the median ages of the sales representatives, we first need to order the ages in ascending order:

22 24 28 28 30 31 31 32 32 35 36 37 38 41 42 42 44 44 45 46 47 47 49 50 56

Since there are 25 data values, the middle value will be the median age. To find the middle value, we divide the number of data values by 2, which gives us 12.5. Since the median is the average of the two middle values, we can take the average of the 12th and 13th values in our ordered list:

Median age = (37 + 38) / 2 = 37.5 years

What is the equation for the graph shown below?

Answers

Try this way:
the common view of the required equation is y=(x-a)(x-b), where 'a' and 'b' are the interception points (the curve and Ox).
using the coordinates of interception points it is possible to make up the required equation: x=3 and x=5.
y=(x-3)(x-5).
If to check the equation using the coordinates of the vertex (4;-1):
-1=(4-3)(4-5) ⇔ -1=-1, it means, that the equation made up is correct.

answer: y=(x-3)(x-5) or y=x²-8x+15.

As viewed from above, a swimming pool has the shape of the ellipse x24900+y22500=1, where x and y are measured in feet. the cross sections perpendicular to the x-axis are squares. find the total volume of the pool. v = cubic feet

Answers

4900>2500, the major axis of the ellipse is along x-axis
a=sqrt(4900)=70
b=sqrt2500=50

The squares are parallel to the y-axis, thus their sides extend in the y-axis direction, hence the length of the sides are:
y=+/-50sqrt(1-x^2/4900))
The area of the square
=y^2=[2500-2500(x^2/4900)

Thus, the volume will be sum along the x-axis from one of the ends of the ellipse to the other. by definition, the limits are (-a to a)=(-70 to 70)
But since the ellipse is symmetrical we can go from (0 to 70) and double the integral.
thus
V=2*int(0 to 70)[2500-2500(x^2/4900)]dx
=int(0 to 70)[5000-(50/49)x^2]dx
=[5000x-50/147x^3] (0 to 70)
=233,333 1/3 ft^3

Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 8.4 seconds. suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is less than 8.4 seconds. what would you use for the alternative hypothesis?

Answers

9seconds!!!!!!!!!!!!!!!!!!!

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Which statement describes if there is an extraneous solution to the equation x-3 = x-5? A. there are no solutions to the equation, B. the extraneous solution is x = 7, C. the valid solutions are x = 7 and x = 4, or D. the extraneous solution is x = 4 With no options, ____ displays the current listing of bash environment and shell script variables. Which perspective is reflected by a parent who teaches a child about the role of sexual norms in stabilizing the family? The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is point . 8% of what is 2.8?? HELP!!!!!! THIS IS GEOMETRY!Find the perimeter of the shape below:A four sided figure RSTU is shown. R is located at negative 1, 3. S is located at negative 2, 7. T is located at 2, 5. U is located at negative 1, 5 The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain. Helpp me graph thesse on a scatter plot sooo confused eee!! @musiclover helpp plzz lol Early changes in the brain during exposure to addictive drugs involves the insertion of ________ receptors into neuron membranes located within the ________. 1. Conduct a minimum of a five-paragraph research paper on a clear and specific topic covered in World History 1 second semester. Your paper should include a proper introduction, with a thesis statement, 3 body paragraphs and conclusion. Body paragraphs will consist of thesis statements supported with details/evidence from research. You will conclude your assignment with a works cited page listing no less than three proper sources 6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is experimental probability of winning a free gallon of milk? A. 11/156 B. 49/52 C. 2/39 D. 3/52*****? every time a boy visited his grandfather, he would pass a house with a large dog in the yard that would bark and scare the boy. years later, the boy becomes anxious whenever he visits his grandfather, even though the dog is no longer there. the boy learned to become anxious in this situation through which process? Up to what percentage of anorexia patients commit suicide or die from cardiac arrest associated with malnutrition? Little 2-year-old dennis is always getting into things. he climbs up trees, jumps into lakes, and explores strange boxes. according to research, dennis would be considered ________. (1 point) what is 231 scaled down by a factor of 1/10 Rewrite the equation below in standard form 2/3x=-5/2y+2 in which war did America experience a direct military attack upon its own territory?a) World War Ib) World War IIc) the vietnam ward) all of the above The major objection to the virginia plan by the smaller states was the proposal for: Includes Chickamauga Valley, Armuchee Ridges, Great ValleyNortheast-to-southwest ridgesmining town were one commonlimestone is commonheavily forested These are characteristics of which geographic region on the map?A)2B)3C)4D)5 If laurie has albinism but neither of her parents exhibits this inherited condition, the trait must be __________ and laurie's genotype for this trait is _________.