At SaveRite, a 4-ounce carton of juice costs $0.85 and a 16-ounce carton costs $2.70. Which size carton would you buy to pay the least amount per ounce?

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

Answer:

y=-1/4x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all the # and see what you get

Answer:

c = 100 or 10^2

d = 3125 or 5^5

Step-by-step explanation:

c. the answer for C is 10^2 because you just subtract the exponents same goes for d.

Answer:

y=4/5x-3 - (-5, -7)

Step-by-step explanation:

So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.

So we have (-10, 5)

Well plug in -10 for 4/5x we get:

-40/5=-8

Next we take that value and solve:

y=-8-3

y=-11

The answer for this was 5, not -11.

Ill skip a few steps:

(10, -11):

Plug in 10 we get:

y=8-3 which is y=5. This is not right, for it needed to be -11.

Next we have (5, -1)

This gets us y=4-3 this is y=1 which is not -1. So thats not right.

Finally we have (-5, -7):

This gets us y=-4-3 this is y=-7. What was our y value? -7!

So the answer is (-5, -7)

I hope this helps! :)

Answer:

I can't read the question it's too blurry

Answer:

ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhhhhhh

answ

Answer:

Use this link

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/mixednumbers.php copy and paste

Answer:

The third one in.

Step-by-step explanation:

its going to end up being 54 ≤ x

and since 54 is included, you want a filled in circle to show that.

Answer:

C. less than or equal too if it's a closed circle

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 12 km\h north

Step-by-step explanation:

I actually have good guesses

Velocity = 12 km/h

-

Velocity can be defined as the division between distance traveled and the time it took for that distance to be traveled:

Velocity = Distance / Time

With the above information in mind, we can calculate the velocity of the bicycle:

Velocity = 18 km / 1.5 h

Velocity = 12 km/h

Thus the velocity of the bicycle is 12 kilometers per hour.

Answer:

5%

Step-by-step explanation:

Answer:

C) 32

Explanation:

it's adding by 4, 6, 8, and then 10; 22 + 10 = 32, so C will be the answer.

Hope this helps!

Answer:SOLUTION

The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).

We have that px=1, py=3, qx=5, qy=1.

Thus, M=(1+52,3+12)=(3,2).

ANSWER

M=(3,2)A

Step-by-step explanation:

Answer:

The midpoint is (3, 2)

Step-by-step explanation:

To find the x-coordinate of the midpoint, average the x-coordinates 1 and 5:

          1 + 5

xm = ----------- = 3

              2

y-coordinate:

          1 + 3

ym = ----------- = 2

              2

The midpoint is (3, 2)

Step-by-step explanation:

To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.

Answer:

where are the angles or image

Answer:

a?

Step-by-step explanation:

The measurement of angle P in the diagram given in the question is 61.93 °

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:

From the question given above, the following data were obtained:

Sine θ = Opposite / Hypothenus

Sine P = 15 / 17

Sine P = 0.8824

Take the inverse of sine

P = Sine⁻¹ 0.8824

P = 61.93 °

Thus, the value of angle P in the diagram is 61.93 °

Learn more about trigonometric ratios:

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Answer:

[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of [tex]\theta[/tex]

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]

Answer:

B. 3x+1

Step-by-step explanation:

(3x+3)+(2x+1)+(4x+2)=9x+6

(12x+7)-(9x+6)=3x+1

Answer:

$1,591.67

Step-by-step explanation:

The computation of the balance after 5 years is shown below:

Given that

Accumulated Balance on Credit Card = P = $2,300

r = Monthly interest amount = 17% ÷ 12 = 1.41666667%

M = Minimum payment = 2%

Now  

Balance on Credit Card after t year = P × (1+r) ×(1-M)

= $2,300 × (1+1.41666667%)^t × (1 - 2%)^t

= $2,300 × (0.993883337)^t

SO,

Balance on Credit Card after 5 years is

= $2,300 × (0.993883337)^60

= $2,300 × 0.692029437

= $1,591.66771

= $1,591.67

Answer:

(2x+5)x(4x+3)

Step-by-step explanation:

have a nice day

9514 1404 393

Answer:

  NO

Step-by-step explanation:

If input values are repeated, the relation is not a function. A function has only one output value for any input value.

Here, an input of 1 has 4 output values—not a function.

Answer:

750

Step-by-step explanation:

30/40 students dislike it from the sample, so 0.75

1000 x 0.75 = 750

Answer:

167 feet

Step-by-step explanation:

Please see the attached image.

(90-42)°=48°

The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.

tan(48°)=x/150

x=tan(48°)*150

x≈167

Answer: 167 feet

Answer:

The answer is 64 people.

Step-by-step explanation:

If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.

Answer:

B. 73°

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

7 * 6 * 5 * 4 = 840

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840

Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

Learn more about Permutation:

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Answer:

A

Step-by-step explanation:

mark me brainliest pls

Answer:

A. 24

Step-by-step explanation:

The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.

In other words, ∠1 is 104 minus 56, divided by 2.

[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]

Step-by-step explanation:

for the first one

subtract 10 from 5 times a certain number

Answer:

4.5

Step-by-step explanation:

Put numbers in order, 1,3,3,4,5,8,9,12

Divide by 2 because there are 2 numbers

Because 4.5 is in the middle of 4 and 5 that is your median

Answer:

72

Step-by-step explanation:

The area of a kite is half the product (multiplication) of the diagonals.

Each diagonal has length 12, so A = (1/2)(12)(12) = (1/2)(144) = 72.

Note:  You can also find the area by finding the areas of the 4 right triangles.  By the way, the diagonals are perpendicular, so all 4 triangles are right triangles.

Area of a small triangle:  Area = (1/2)(base)(height)  A = (1/2)(2)(6) = 6.

Area of a larger triangle:  A = (1/2)(10)(6) = 30

Total area: 2 small triangles plus 2 larger triangles A = 2(6) + 2(30) = 72

Since you didn't offer potential answer choices, here's a sample answer which would work for this scenario. Using this, you can compare it to the choices that you have to make a decision.

Sample Answer:

Bob opened savings account with $200. Every week since, he has added $139 into it.