AN Calculators can be purchased for the upcoming end-of-course exam. The revenue function can be modeled as RAN (3) = (25 10x) (300 - 36x) where x is the price of the calculator. MN Calculators can also be purchased for the upcoming exam. The revenue function can be modeled as RuN (x) = (100 20x) (100 - 12x) where x is the price of the calculator. Determine the price of each calculator where the revenue of AN Calculators and MN Calculators are the same.

Answers

Answer 1

The revenue functions of the calculator companies is the difference between their cost and profit functions

The price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

How to determine when the prices are the same

The revenue functions are given as:

RAN (x) = (25 + 10x) (300 - 36x)

RMN (x) = (100+ 20x) (100 - 12x)

When the prices are the same, we have:

RAN (x) = RMN (x)

So, we have:

[tex](25 + 10x) (300 - 36x) = (100+ 20x) (100 - 12x)[/tex]

Divide through by 20

[tex](5 + 2x) (75 - 9x) = (10+ 2x) (50 - 6x)[/tex]

Using a graphing calculator, we have the following value of x

x = 2.5

Hence, the price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

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Related Questions

If the volume of a square based pyramid is 300 centimeters cubed with a height of 9 centimeters, then what is the length of the base?

A: 5.77
B: 7
C: 10
D: 100

Answers

Answer:

the answer is c

Step-by-step explanation:

1/3a^2h

=1/3x10^2x9

=300 feet^3

1. Is (2, 4) a solution of the equation y = x - 2?​

Answers

Answer:

No.

Step-by-step explanation:

If you plug in the numbers for the X and Y value, you will not receive the correct answer.

y = x - 2

(2, 4)

4 = 2 - 2

So, NO (2, 4) is NOT a solution of the equation y = x - 2.

This would only work if you were using addition instead of subtraction.

Jaime has 636 blocks. About how many blocks does he have ?

a. 500

B.600

C.700

D.800

Answers

Answer:

B.) 600

Step-by-step explanation:

if you are rounding to the nearest hundred value you would get 600 because the 3 in 638 will round down to 600

it can not be A because it is to far down from the number line

it can not be C or D because they are to far up on the number line

So the correct answer has to be B-600

if the 2nd number is 5 or more you will always round up.

if the 2nd number is 4 or less you will have to round down.

After rounding off Jaime has (B) 600 blocks with him.

What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off. to reduce the number of significant digits in a number to an approximate value. Round off the numbers 15.4 to 15, 15.51 to 15.5 or 16, 0.499 to 0, and 970,000 to 1 million.

So, rounding off 636:

We can easily tell that after rounding off, the number of blocks will be:

600

Therefore, after rounding off Jaime has (B) 600 blocks with him.

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The correct question is given below:

Jaime has 636 blocks. after rounding off how many blocks does he have?

A. 500

B.600

C.700

D.800

help me pls pls pls

nonsense=report

nice answer=brainles

pls dont waste my point
​​

Answers

Step-by-step explanation:

Perimeter Area30 inches ( 10+5 x 2 ) 1600 m ( 400 x 4 )

HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!1

Answers

Answer: 5 seconds

Step-by-step explanation:

The Wyatt family use of a 1/2 gallon jug of milk every three days at what rate do they drink milk?

Answers

Answer:

.166 gallons per day

Step-by-step explanation:

take the half gallon and divide it by the number of days it takes to consume

.5/3=.166

Answer:

1/6

Step-by-step explanation:

Find the rate in gallons per day. Divide

1

2

of a gallon by 3 days.

To divide by 3, multiply by its reciprocal,

1

3

.

1

2

÷3

=

1

2

1

3

=

1

6

The Rudd family drinks milk at a rate of

1

6

of a gallon per day.

20 points please help.

A large group of students took a test in physics and the final grades have a mean of 70 with a standard deviation of 10. If the graph of the scores has normal distribution, what percentile would a student be in if they earned an A on the test? (a is a score ≥ 90)

Answers

Answer:
The student's score closest to 91 percentile.

Step-by-step explanation:

Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 480

σ = 90

If a student has a score of 600, then x = 600

For x = 600,

z = (600 - 480)/90 = 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.91

the student's score closest to 91 percentile.

The graph of the scores has normal distribution and percentile would a student be in if they earned an A on the test is 97.72%

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

To determine the percentile a student would be in if they earned an A (a score ≥ 90) on the physics test, we need to calculate the z-score corresponding to the score of 90 and then find the percentile associated with that z-score.

The z-score is a measure of how many standard deviations a particular value is away from the mean in a normal distribution

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation

In this case, we have:

x = 90 (the score for an A)

μ = 70 (the mean)

σ = 10 (the standard deviation)

Plugging these values into the z-score formula

z = (90 - 70) / 10 = 20 / 10 = 2

The z-score of 2 indicates that the score of 90 is 2 standard deviations above the mean in a normal distribution

The percentile associated with a z-score of 2 is approximately 97.72%

Hence , if a student earned a score of 90 or above on the physics test, they would be in the 97.72th percentile

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Rewrite as a simplified fraction. 2.2666... = ?

Answers

Answer:

[tex]\frac{34}{15}[/tex] or [tex]2 \frac{4}{15}[/tex]

Step-by-step explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

100x = 226.6666...

10x = 22.6666...

Subtracting the two equations, we have:

90x = 204

x = 204/90

Which of the following inverse operations do you perform on the multiplication equation 3x=−27 to isolate the variable?
A.Divide by 3 on both sides of the equation
B.Multiply by 3 on both sides of the equation
C.Add 3 to both sides of the equation
D.Subtract 3 from both sides of the equation

Answers

The answer is A because you would have to divide. In this equation, we are doing multiplication so we have to do the inverse operation which would be division. We are trying to get x by itself so we would have to divide each side by 3. If you do that to each side, the left side would be left as just x, and the right side of the equation would be -9 because -27 divided by 3 would equal -9. Hope this helps!

1. Dilate A using
Pas the center
of dilation and a
scale factor of 3.
Label the new
point P.
B.
Pear Deck Interactive Side
Do not remove the
Students, draw anywhere on this slide!

Answers

Pas the center , pear deck interactive side

Someone solve this plz

Answers

Answer:

z= 23°

y= 120°

Step-by-step explanation:

For z, the measures of the angles are alternate interior angles, they equal each other. So, the equation would be:

66= 3z-3

Step 1- Add 3 to both sides.

66= 3z-3

+3       +3

69= 3z

Step 2- Divide both sides by 3.

69= 3z

3     3

z= 23°

For y, the measures of 66 and y are alternate exterior angles, they sum up to 180 degrees. So, the equation would be:

180= 60+y

Step 1- Subtract 60 to both sides.

180= 60+y

-60   -60

y= 120°

Hope this helps!

Identify which quadrant contains the terminal side of an angle in standard position with each given degree measure. 75° 120° –30° –200°.

Answers

Answer:

75° quadrant 1

120° quadrant 2

-30° quadrant 4

-200° quadrant 2

The measure 75° is in Quadrant I, 120° is in Quadrant II, -30° is in Quadrant IV and -200° is in Quadrant III.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Angles in standard position are measured in a counterclockwise direction from the positive x-axis.

An angle of 75° is less than 90° and lies between the positive x-axis and the positive y-axis, so it is in Quadrant I.

An angle of 120° is greater than 90° and less than 180°, so it is between the positive y-axis and the negative x-axis, which means it is in Quadrant II.

An angle of -30° is equivalent to a 330° angle (360° - 30°) and lies in Quadrant IV because it is less than 360° and greater than 270°.

An angle of -200° is equivalent to a 160° angle (360° - 200°) and lies in Quadrant III because it is greater than 90° and less than 180°.

Hence, the measure 75° is in Quadrant I, 120° is in Quadrant II, -30° is in Quadrant IV and -200° is in Quadrant III.

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write the equation of a line in point slope form that passes through (6,5) and (-3,2)

Answers

Answer:

[tex]y-5 = \frac{1}{3}(x-6)[/tex]

Step-by-step explanation:

Point Slope Form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

where m = slope

First, you have to find the slope of the line which is the difference in y values divided by the difference in x values.

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]

[tex]m = \frac{2-5}{-3-6}[/tex]

[tex]m = \frac{-3}{-9} \\m = \frac{1}{3}[/tex]

Then plug in the values from either point to complete your equation of the line:

[tex]y-5 = \frac{1}{3}(x-6)[/tex]

need help and can yall explainnn

Answers

Answer:

you add both the purchases then find 7% of them

Step-by-step explanation:

well the answer is 254.66 if you needed the answer and not just the explanation

Answer:

254.66

Step-by-step explanation:

Total before tax:

225.45 +12.55 = 238

To get tax, you multiply the total times the percent

(7%=.07)

238 x .07 = 16.66 (this is the amount for tax)

16.66 + 238 =

Yesterday, Bethany sent 60 text messages. She said that 15% of those messages were to her best friend. How many text messages did Bethany send to her friend yesterday
(Please explain)

Answers

Answer: 9 Text messages sorry if i'm wrong

Step-by-step explanation: OK so first, this can be answered by using division and variables.

DIVIDE

60 / 10 = 6 which means 6 = 10%

DIVIDE AGAIN

6 / 2 = 3 which is 5%

ADD AND SIMPLIFY

6 + 3 = 9 or 9 = 15%

PLEASE MARK ME BRAINLIEST

Thx guys (i will vote brainliest)

have an awesome day
djkal;fjkdla;jkdfl;ghkjhkjlhklkjlhkjl

Answers

Answer: That would be B!

Explanation:

helppppp pleaseeee ❤️ !!

Answers

Answer: The largest would be 14, middle would be 7/40, and 0.71 would be smallest.

CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU

Answers

The answer is A,hope this helps

Answer:

second option

Step-by-step explanation:

The area (A) of a rectangle is length × width , thus

A = (4x + 8)(2x + 3) ← expand factors using FOIL

   = 8x² + 12x + 16x + 24 ← collect like terms

   = 8x² + 28x + 24

Antonio is buying milk for a breakfast event. Each container of milk costs $3. He must spend $12 or less on milk for the event.

Write an inequality to represent, c, the number of containers of milk he can buy.
Could Antonio buy 4 containers of milk for the event?

Answers

Answer:

$12>_$3x4

Step-by-step explanation:

$12/$3=4 containers of milk

so yes he can buy 4 containers of milk for the event

what is the vertex of Y=4x²+8r-2

Answers

Answer:

(0,1),(0,-1)

Step-by-step explanation:

Sorry, don't know explanation.

How many terms are in the expression 4a'b - 5ab2 + 1? a) 3 b) 5 c) 7 d) 9​

Answers

Answer:

A, 3

Step-by-step explanation:

A term can be a constant or a variable or both in an expression.

In this expression we can consider 4ab, 5ab^2, and 1 to be terms.

Which graph represents the inequality y<−1+2x?

Answers

Answer:

choice c

Step-by-step explanation:

C, because the equation of the line matches the equation in the question & the shaded region is under the line, representing that it is less that the equation.

is subtraction associated in rational number ? explain with an example.

Answers

Answer:

No, subtraction is NOT associative in rational numbers.

Step-by-step explanation:

Step-by-step explanation: We are asked to state whether subtraction is associative in rational numbers or not. To explain with an example. The subtraction is NOT associative in rational numbers.

Oilvie has raised 3,428 to buy toothpaste to place in care packages. Each tube cots $2 about how many tubes of toothpaste can she buy

Answers

3428/2=1714

She can but 1714 tubes of toothpaste.

what is the decimals of 1 5/8

Answers

Answer:

1.625

Step-by-step explanation:

13/8 = 1  5/8

Divide 13 by 8

The answer is 1.625

Hope I helped :)

Please consider Brainliest :)

what good qualities of a dress maker when she fulfills commitment and abides by what is agreed upon by the customer​

Answers

Answer:

Efficency, for getting work done on time, Skill, for able to do what kind of design is requested to her, A listening and patient ear by understanding what the customer needs and taking down details.

Step-by-step explanation:

If the mean of a given dataset is 131 and the standard deviation is 8, where will a majority of the data lie?

A. 123 to 139
B. 131 to 139
C. 123 to 131

Answers

Answer:

A

Step-by-step explanation:

The reason it has to be A is because you don't have to even thing about the standard deviation right here because the only answer that has a mean of 131 is answer A.


Hope it helps have a great afternoon:)

It’s B hope it helped

2 2/3 * 4 1/2=
MIXED NUMBER ANSWER PLS!
12 POINTS!

Answers

Answer:

12

Step-by-step explanation:

which expression would be easier to simplify if you use the associative property to change the grouping?


A: 0.85 + [0.15+(-1/3)]
B: 1+[3/4+(-1/4)]
C: [(-1/3) + +(-2/3)] + (-4/5)
D: (160 + 40) + 27

Answers

the answer is D because it’s more simple

please help!! If y = sin x, then dy/dx =

Answers

Answer:

the answer is option B

Step-by-step explanation:

To find dy/dx the equation here is

first multipled by derivative of second + second multipled by derivative of first

y = x*sinx

dy/dx = x * derivative of sinx + sinx * derivative of x

derivative of x with respect to x is 1

derivative of sinx with respect to x is cosx

therefore

dy/dx = x * cosx + sinx * 1

= x * cosx + sinx

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