netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4.50 for each movie rented. write a system of equations for each plan

Answers

Answer 1
Let x be the number of movies rented.

For the Netflix membership plan, the total cost C is given by:

C = 10 + 2x

For non-members, the total cost C is given by:

C = 4.5x

Therefore, the system of equations is:

C = 10 + 2x (Netflix membership plan)
C = 4.5x (non-members)

Related Questions

Given ⊙K with secants NS and NR, which expression represents PS?

Answers

An expression that represent PS include the following: C. (NP + NQ + QR)/NR - NR.

What is the Tangent Secant Theorem?

In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have the following:

NP × PS = NQ × QR

PS = (NQ × QR)/NP

In terms of line segment NR, the expression can be rewritten as follows;

(NP + NQ + QR)/NR - NR

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Use the equation to find the number of correct answers Gilberto needs to buy a new shirt that costs 25$. Show your work

Answers

a) An equation that represents the amount of money that Gilberto

receives during a school year:  y = 5 + (0.5) x

b) The number of correct answers Gilberto needs to buy a new shirt that costs $25 = 40

Let us assume that y represents the amount of money and x represents the number of correct answers.

We know that One dollar = 100 cents.

so, 50¢ = 0.5 dollars

From the described informtaion, we can write the equation that represents the amount of money that Gilberto receives during a school year as: y = 5 + (0.5) x

Now we need to find the number of correct answers Gilberto needs to buy a new shirt that costs $25

i.e., for y = 25, we need to find the value of x.

Substitute y = 25 in above equation.

25 = 5 + (0.5) x

We solve this equation for x

(0.5) x = 20

x = 20 / (0.5)

x = 40

This means that he needs to give 40 correct answers.

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The complete question is:

Gilberto's  grandfather gives Gilberto $5 and then 50¢ for each math question he answers correctly on his math exams for the year.

a. Write an equation that represents the amount of money that Gilberto

receives during a school year. Explain what the variables and numbers mean.

b. Use the equation to find the number of correct answers Gilberto needs to buy a new shirt that costs $25. Show your work.

1) m2 x m2
2) w3 x w2
3) 5k3 x 4k4 x k

4) A rectangle and square have the same area.
The rectangle has length 27x and width 3x.
Find the length of each side of the square.
Find the length of each side of the square.

5) Fully simplify the following expression
28x3 ÷ 4x

6) Simplify fully:
To multiply letters e.g., xy you must include the multiplication symbol. E.g., xy should be typed as x*y
fraction numerator 12 c to the power of 8 g to the power of 9 over denominator 4 c to the power of 4 g to the power of 4 end fraction

Answers

m² × m² is equal to m⁴.

w³ × w² is equal to w⁵.

5k³ × 4k⁴ × k is equal to 20k⁸.

The length of each side of the square is 9x.

A simplification of the expression 28x³ ÷ 4x is 7x².

How to calculate the area of a rectangle?

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of rectangle = (27x) × (3x)

Area of rectangle = 81x²

Note: Area of square = Area of rectangle

Area of square = (side length)²

81x² = (side length)²

Side length = √(81x²)

Side length = 9x

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Use the information given in the figure to find the length RU. If applicable, round your answer to the nearest whole number.

Answers

Answer:7

Step-by-step explanation:

use the Pythagoras theorem to find su (40^2-32^2) take the square root =24 use this to solve for ru. (25^2-24^2=49) square root of 49 is

You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.

Answers

The annual premium for a Whole Life insurance policy, for the healthy male, would be A. $ 2, 881.61

How to find the annual premium ?

From the given table, a 28 year old male would have to pay $ 17. 76 for each $ 1,000 of coverage of Whole Life Insurance.

For a policy that is worth $ 162, 253 therefore, the annual premium would therefore be:

= Amount per thousand / 1, 000 x  Policy coverage

= 17. 76 / 1, 000 x 162, 253

= 0.01776 x 162, 253

= $ 2, 881.61

In conclusion, the annual premium is $ 2, 881.61 .

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27 divided by 187 ( so the work please

Answers

Answer:

Answer:

= 6 R 25

= 6 25/27

187 divided by 27 equals

6 with a remainder of 25

Step-by-step explanation:

geometry please help fast
questions 1 and 2

Answers

Question one is the letter C, Question two is C

12 friends shared 8 small pizzas equally. how much pizzas did each person get?

Answers

Each person would get approximately 0.67 small pizzas when 12 friends share 8 small pizzas equally.

If 12 friends shared 8 small pizzas equally, we can divide the total number of pizzas by the number of friends to determine how much pizza each person gets.

Total number of pizzas = 8 small pizzas

Number of friends = 12

To find how much pizza each person gets, we divide the total number of pizzas by the number of friends;

Pizza per person = Total number of pizzas/Number of friends

Pizza per person = 8 small pizzas / 12 friends

Pizza per person = 0.67 small pizzas

Therefore, each person would get 0.67 small pizzas.

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Find the area of the rhombus below.​

Answers

The area of the rhombus is derived to be 70 square units

How to calculate for the area of the rhombus

In calculating for the area of a rhombus, we multiply the length of its two diagonals and divide the result by two

For the given rhombus, we have diagonals:

5 + 5 = 10 and 7 + 7 = 14

thus;

Area of the rhombus = (10 × 14)/2

Area of the rhombus = 140/2

Area of the rhombus = 70 square units.

Therefore, the area of the rhombus is derived to be 70 square units.

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A foam cube, 5 in. in width has a mass of 62 g. What is the volume and density

Answers

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the volume of the foam cube is 5 in. x 5 in. x 5 in. = 125 cubic inches.

Density is calculated by dividing the mass of an object by its volume. In this case, the density of the foam cube is 62 g / 125 cubic inches = 0.496 g/cubic inch.

So, the volume of the foam cube is 125 cubic inches and its density is 0.496 g/cubic inch.

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The ratio of the volume of cone A to the volume of cone B is 27:8
Cone A and cone B are mathematically similar.
The surface area of cone A is 297 cm²
Show that the surface area of cone B is 132 cm²

Answers

Since cone A and cone B are mathematically similar, their corresponding dimensions are proportional. Let the height of cone A be h_a and the height of cone B be h_b, and let the radius of cone A be r_a and the radius of cone B be r_b. Then, we have:

h_b / h_a = r_b / r_a (1)

The ratio of the volumes of cone A to cone B is 27:8, so we have:

(1/3) * π * r_a^2 * h_a / [(1/3) * π * r_b^2 * h_b] = 27/8

Simplifying this equation using Equation (1), we get:

r_b^2 / r_a^2 = 27/8 * h_b / h_a = 27/8 * r_b / r_a

Multiplying both sides by r_a^2, we get:

r_b^2 = 27/8 * r_a^2

Taking the square root of both sides, we get:

r_b = (3/2) * r_a

Substituting this relationship into the formula for the surface area of cone A, we get:

π * r_a * (r_a + √(h_a^2 + r_a^2))

Substituting r_b = (3/2) * r_a and simplifying, we get:

π * r_a * (2.5 * r_a + √(h_b^2 + (2.5 * r_a)^2)) = 297

Simplifying this equation using Equation (1), we get:

π * r_b * (2.5 * r_b + √(h_a^2 + (2.5 * r_b)^2)) = (27/8) * 297

Simplifying this equation, we get:

π * r_b * (2.5 * r_b + √(h_b^2 + (2.5 * r_b)^2)) = 132

Therefore, the surface area of cone B is 132 cm².
Let V_A be the volume of cone A, V_B be the volume of cone B, and r_A and r_B be the radii of cones A and B, respectively.

Since the cones are mathematically similar, we know that the ratio of their volumes is equal to the cube of the ratio of their radii:

V_A/V_B = (r_A/r_B)^3 = (27/8)

Therefore,

r_A/r_B = (27/8)^(1/3)

We also know that the surface area of cone A is given by:

S_A = πr_A√(r_A^2 + h_A^2) + πr_A^2

where h_A is the height of cone A.

We don't know the value of h_A, but we can use the fact that the cones are mathematically similar to find the ratio of their heights:

h_A/h_B = r_A/r_B

h_B = (r_B/r_A)h_A = (8/27)h_A

Now we can use the fact that the ratio of the surface areas of two similar cones is equal to the square of the ratio of their heights:

S_A/S_B = (h_A/h_B)^2 = (27/8)^2

Substituting the given value of S_A and solving for S_B:

297/S_B = (27/8)^2

S_B = 132 cm²

In the diagram, m < AFB = 78
Which angle is complementary to

Answers

The angle BFC is the angle that is complementary to AFB

What is a complementary angle

Whenever the sum of two angles adds up to 90 degrees, they are defined as complementary angles. Take 30 and 60 degrees, for instance; they are complementary angles.

From the definition we have to find the angle when if added to AFB would give us the sum of 90 degrees

AFC is a 90 degree angles

We have AFC = AFB + BFC

90 = 78 + BFC

BFC  = 90 - 78

= 12

Hence the angle BFC is the complementary angle

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14) -1 -10a < -1 or 10 + 3a ≤-5

Answers

The solution to the inequality is:

0 < a  or a ≤ -5

How to solve the inequality?

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

We have: -1 -10a < -1 or 10 + 3a ≤ -5 and we want to solve for the variable "a".

-1 -10a < -1      or  10 + 3a ≤ -5

-10a < -1 + 1    or  3a ≤ -5 - 10

-10a < 0          or  3a ≤ -15  

a < 0/(-10)      or   a ≤ -15/3

a > 0              or   a ≤ -5

Since a a > 0  is the same as 0 < a. We can say:

0 < a  or a ≤ -5

Thus,  0 < a ≤ -5

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r(t) =

t2 − 36
i − j + ln(t − 1)k
(a)
Find the domain of r.

Answers

The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

The given vector function can be correctly expressed as:

r(t) = (t-2)i / (t+2) + sintj + ln(36-t²)k²

The domain of the given function can be determined by finding the domain of each respective component.

(t-2)i / (t+2)

Not defined, t = -2

Thus, the domain of the first component of the vector = (-∞, 2) ∪ (2, ∞)

The 2nd component = sin t

No restriction on t,

The 3rd component of the function is ㏑(36 - t²)

we know,

Natural number is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

thus, it satisfies the inequality -6 < t < 6

The third domain = (-6,6)

Hence, the domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

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Jason has three T-shirts of different colors. He shares his T-shirts with his two brothers. How many ways can all three boys trade shirts and not wear the same color twice? A. one B. two C. three D. six​

Answers

Answer: 6

Step-by-step explanation:

There are six possible ways that the three boys can initially choose shirts: ABC, ACB, BAC, BCA, CAB, CBA.

A basket contains 3 green, 4 yellow, 5 blue and 6 red tickets, one of which is randomly selected.

Giving your answer in its simplest form, what's the theoretical probability of not drawing a yellow ticket?

Probability of not drawing a yellow ticket =


Again using theoretical probability, determine the chance of getting a green or red ticket. Give your answer as a fraction in its simplest form.

Probability of drawing a green or red ticket =

Answers

The theoretical probability of drawing a green or red ticket is 1/2 or 0.5.

We have,

There are a total of 3 + 4 + 5 + 6 = 18 tickets in the basket.

The probability of drawing a yellow ticket.

= 4/18

Since there are 4 yellow tickets out of 18 total tickets.

The probability of not drawing a yellow ticket is equal to the probability of drawing a green, blue, or red ticket.

There are 3 + 5 + 6 = 14 tickets that are not yellow.

The probability of not drawing a yellow ticket.

= 14/18

= 7/9

To find the probability of drawing a green or red ticket, we need to add the probabilities of drawing a green ticket and a red ticket.

The probability of drawing a green ticket.

= 3/18

The probability of drawing a red ticket.

= 6/18

Now,

The probability of drawing a green or red ticket is

= 3/18 + 6/18

= 9/18

= 1/2

Thus,

The theoretical probability of drawing a green or red ticket is 1/2 or 0.5.

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NEED HELP WILL GIVE BRAINLIEST AND WILL RATE (Do the one thats C and highlighted, ignore the others) :)

Answers

Step-by-step explanation:

3.3% = .033 in decimal

Use the compounding formula

a)  P(t) = 18000 (1 + .033)^t        

b)   for t =2 this computes to 19207.6  bacteria

san
3
Mia is the new CEO of a sales company. In her first year, the company made $475,000 in sales. In each of
the following years, her sales are expected to increase at a rate of 1796. If this trend continues, what will be
her company's sales in year 14?
A $6,201,709
B $5,129,458
C $3,656,872
D
$2,935,294

Answers

The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

How to find the sales ?

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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Daran has a change jar that contains $0.80 in pennies and nickels. He has 10 more nickels than pennies. How many of each type of coin does he have?

Answers

Let's call the number of pennies Daran has "p" and the number of nickels he has "n".

According to the problem, the value of the coins is $0.80, or 80 cents. We can set up an equation to represent this:

0.01p + 0.05n = 0.80

We also know that Daran has 10 more nickels than pennies:

n = p + 10

We can substitute this expression for "n" into the first equation:

0.01p + 0.05(p + 10) = 0.80

Simplifying:

0.01p + 0.05p + 0.50 = 0.80

0.06p = 0.30

p = 5

Therefore, Daran has 5 pennies. We can use the expression n = p + 10 to find the number of nickels:

n = 5 + 10 = 15

Therefore, Daran has 15 nickels.

please help me with this.

Answers

According to the figure,

a. angle LCQ is 45 degrees

b. the major arc are KPR and QRPK

c. congruent minor arcs are LQ and QR

d. the three arcs that form a semicircle are RP,  LQ ,and QR

What are major arcs?

A major arc designates a segment of an arch with a measurement which surpasses 180 degrees.

Geometrically, the circle, a closed curve, exhibits all its points uniformly spaced from a central focal point named the center of the circle.

The arc is regarded as major when it comprises a superior portion of the circular geometry, extending beyond half of the total circumference.

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Solve for radius and diameter then what is the area C=226.08in

Answers

The radius of the circle is 35.98 in, the diameter is 71.96 in. and the area of the circle is 4066.98 sq. in.

Here, the circumference of circle is C=226.08 in

We know that the formula for the circumference of circle is C = 2πr

Using this formula we find the value of radius 'r',

C = 2πr

226.08 = 2πr

r = 226.08 / 2π

r = 35.98 in

And the diameter of the circle would be,

d = 2r

d = 2 × 35.98

d = 71.96 in.

And the area of the circle would be,

A = π × r²                                                                  

A = π × 35.98²

A = 4066.98 sq. in.

Therefore, the required area is  4066.98 sq. in.

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The complete question is:

Solve for radius and diameter then what is the area of the circle if the circumference of circle is C=226.08 in.

find the compound interest on rs 6950 for 3 years if the interest is payable half yearly,the rate for the first two years being 6% p.a and for the third year 9% p.a

Answers

Answer:

Rs 2150.81.

Step-by-step explanation:

The interest rate for the first two years is 6% per annum, which is halved for each six-month period. Therefore, the interest for the first two years would be (6950*(1+(0.03))^8) - 6950 = Rs 1373.53.

For the third year, the interest rate is 9% per annum, which is also halved for each six-month period. Therefore, the interest for the third year would be (6950*(1+0.045))^2 - 6950 = Rs 777.28.

Hence, the total compound interest for three years would be Rs 2150.81.

Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. In 1996, the average LOS for non-heart patients was 4.6 days. A random sample of 20 hospitals in one state had a mean LOS for non-heart patients in 2000 of 3.8 days and a standard deviation of 1.2 days. How large a sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean? Select one: a. 48 b. 7 c. 3 d. 32 e. 96

Answers

The sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean is A. 48

How to calculate the sample

We want to find the sample size (n) that would give us a confidence interval of 0.5 days, so we can rearrange the formula to solve for n:

n = (z*σ/CI)^2

Plugging in the given values:

z = 2.576 (for 99% confidence level)

σ = 1.2 days

CI = 0.5 days

n = (2.576 × 1.2/0.5)²

n ≈ 48

Therefore, the correct option is A.

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0
Determine whether the curve is the graph of a function of x.
OYes, it is a function.
O No, it is not a function.
If it is, state the domain and range of the function. (Enter your answers in interval notation. If the curve is not the graph of a function of x, enter DNE.)
domain
range

Answers

The correct statement regarding whether the graph represents a function is given as follows:

No, it is not a function.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In the graph, we have that at x = 0 = y-axis, the function has three numeric values, which is a case of vertically aligned points, hence the graph does not represent a function.

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Simplify √ x + 3√ 3x − 5√ x.

Answers

Answer: -4rootx+3root3x

Step-by-step explanation:

think of the expression under the radicals as like terms, you can only add those that are the exact same 1-5=-4(rootx) can't do anything with the middle

Select the correct answer.
A glass case is in the shape of a rectangular prism. The volume of the case is cubic foot. How many cubic blocks with a side length of foot would
be required to find the volume of the glass case?
OA 2
OB 3
OC. 4
D. 5
Reset

Answers

From the question that we have, the solution that we have gotten is that 4 cubic blocks with a side length of foot would be required to find the volume of the glass case

How to solve the problem

We have been given that a glass case is in shape of a rectangular prism.

The volume of a single cubic block is:

We have

Volume of block

= (1/5) * (1/5) * (1/5)

= 1/125 cubic feet

Next we will now have to divide the volume of the glass case by the volume of a single cubic block:

V olume of case / Volume of the block =

(4/125) / (1/125)

= 4

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A glass case is in the shape of a rectangular prism. The volume of the case is cubic 4/125 foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case?

Question content area top
Part 1
The length of a rectangular park is six times its width. The park is surrounded by a ​3-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.

Answers

The quadratic function to represent the total area of the park and the path will be 6(x² + 7x + 6).

Given that:

Width, W = x

Length, L = 6x

Path width, d = 3

The rectangle's area will be given as,

Area of the rectangle = L × W square units

The quadratic function to represent the total area of the park and the path will be given as,

A = (x + 2 · 3) (6x + 2 · 3)

A = (x + 6)(6x + 6)

A = 6(x + 6)(x + 1)

A = 6(x² + 7x + 6)

The quadratic function to represent the total area of the park and the path will be 6(x² + 7x + 6).

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Find the missing angle.
92° 78°

Answers

Answer:

[tex]\huge\boxed{\sf x = 10\°}[/tex]

Step-by-step explanation:

Statement:Angles on a straight line add up to 180 degrees.Solution:

According to the statement,

92° + x + 78° = 180°

170° + x = 180°

Subtract 170° from both sides

x = 180° - 170°

x = 10°

[tex]\rule[225]{225}{2}[/tex]

birth weights for a simple random sample of 195 boys were recorded. the mean weight calculated for this sample was 3.04 kilograms and the standard deviation was 0.71 kilograms

Answers

Answer:

The sample mean birth weight for the 195 boys is 3.04 kilograms and the sample standard deviation is 0.71 kilograms.

Step-by-step explanation:

A pilot wants to fly on a bearing of 60.8. By flying due east he finds that a 59 mph wind blowing from the south puts him on course. Find ground speed of the plane

Answers

Answer:

68

Step-by-step explanation:

We can use vector addition to solve this problem. Let's consider two vectors: the velocity of the plane relative to the ground, which we want to find, and the velocity of the wind relative to the ground, which we know is due south with a magnitude of 59 mph.

Let's call the ground speed of the plane "v" and the angle between the plane's velocity and the due east direction "θ". The bearing of 60.8 is the angle between the plane's velocity and due north, so the angle between the plane's velocity and due east is (90 - 60.8) = 29.2 degrees.

Now we can use trigonometry to find the components of the plane's velocity relative to the ground:

v(cosθ, sinθ) = (v cosθ, v sinθ)

The plane's velocity relative to the wind is due east, so its x-component is v cosθ = 59 mph. Therefore, we can solve for v:

v = 59 / cosθ

v = 59 / cos(29.2) ≈ 67.55 mph

So the ground speed of the plane is approximately 67.55 mph. Round it up to 68.

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Knowledge of the family structure and functioning is fundamental to implementing the _____ _____. With families in the community, nurses need to go beyond the individual and family and to understand the complex environment in which the family functions to be effective in reducing family health ____. 33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities. Due Saturday night Which of the following statements is true?a. Industry structure is fixed.b. Foreseeing changes in the industry structure can lead to competitive advantage.c. Technology is irrelevant to a five forces analysis.d. Industry analysis is a tool for strategists, not for entrepreneurs.e. Industry analysis is useful only within national boundaries. our environment is very sensitive to the amount of ozone in the upper atmosphere. the level of ozone normally found is 5.7 parts/million (ppm). a researcher believes that the current ozone level is not at a normal level. the mean of 8 samples is 6.1 ppm with a standard deviation of 0.7 . assume the population is normally distributed. a level of significance of 0.02 will be used. find the value of the test statistic. round your answer to two decimal places. 121. Coaching as a training technique is seldom if ever done by the immediate manager or supervisor, but rather by the human resource department. True False A promising biological method for insect control involves the release of insects that could interfere with the fertility of the normal resident insects. One approach is to introduce irradiated sterile males to compete with the resident fertile males for mating. A disadvantage of this strategy is that the sterile males are not robust and can have problems competing with the fertile males. An alternate approach that is cur- rently in testing is to release laboratory-reared insects that are homozygous for several translocations. Explain how this strategy will work. Be sure to mention which insects will be sterile Could someone help with this giving out brainliest!! True/False : Two clinically significant genera of bacteria that are capable of producing endospores are Clostridium and Bacillus CARD 4:Zoe opens a savings account thatearns annual compound interest. If shedoesn't make any deposits orwithdrawals after her initial deposit,the balance in the account after xyears can be represented by theequation below.b(x)=675(1.045)Duncan says thebalance in theaccount increases ata rate of 45% eachyearDaniella says thebalance in theaccount increases ata rate of 4.5% eachyearWhich is set is right Which statement best explains what Paine says aboutthe king?O He puts the interests of the colonists before his ownwhen approving laws.O He allows the colonies to make their own laws.O He will only approve laws that are in his and GreatBritain's best interest.O He allows new laws to be made in the colonies. Does anyone know how to solve this problem? p5.96. a balanced wye-connected three-phase source has line-to-neutral voltages of 277 v rms. find the rms line-to-line voltage. this source is applied to a delta-connected load, each arm of which consists of a 15- resistance in parallel with a j30- reactance. determine the rms line current magnitude, the p Saskatewan Can Company manufactures recyclable soft-drink cans. A unit of production is a case of 12 dozen cans. The following standards have been set by the production-engineering staff and the controller. Direct Labor: Direct Material:Quantity, 0. 17 hour Quantity, 8 kilogramsRate, $8. 50 per hour Price, $0. 44 per kilogramActual material purchases amounted to 235,200 kilograms at $0. 500 per kilogram. Actual costs incurred in the production of 24,000 units were as follows:Direct labor: $42,960 for 4,800 hoursDirect material: $101,400 for 202,800 kilogramsRequired:Use the variance formulas to compute the direct-material price and quantity variances, the direct-material purchase price variance, and the direct-labor rate and efficiency variances. Indicate whether each variance is favorable or unfavorable. (Indicate the effect of each variance by selecting "Favorable" or "Unfavorable". Select "None" and enter "0" for no effect (i. E. , zero variance). ) Which of these statements concerning intragenic suppressor mutations is true?A) Nonsense mutations are processes utilized in intragenic suppressor mutations to make compensatory changes in the protein.B) A distinction with the intragenic suppressor mutations is the disposition of the mutations on different genes.C) The actions of intragenic suppressor mutations can still result in the production of the same amino acid as the original, nonmutated codon.D) The function of intragenic suppressor mutations are limited to same-gene alterations and frameshift translocations. for Allograft mention its (prefix, combining form, suffix, definition) Cloudy Plc. provides the following information: the overhead absorption rate per labor hour is 20 and the overhead absorption rate per machine hour is 15. One unit of the product A developed by Cloudy Plc. requires 8 hours of labor and 2.5 hours of machine. During the year, Cloudy Plc. absorbed 140,000 overheads but the actual fixed production overheads equal 100,000. Considering this information, which of the following statements is true? O a. None of the answers is true. O b. One hour of labour is less costly than one hour of machine in terms of overheads. O C. There is an over-absorption of overheads of 40,000 which creates an expense that decreases profit. O d. Product A should be sold for a price larger than 197.5. You are conducting a research study. You give a group of participants an accelerometer. When you're analyzing this data, you realize that all participants had the highest levels of physical activity on Day 1. You decide to exclude this data. Excluding this data is an example of trying to avoid: Select one: a Rosenthal Effect b Getting a non significant statistical finding C Hawthorne Effect Od More data to sort through Who is responsible at a multiple-casualty incident for initially setting up a command post? you are a provider of portfolio insurance and are establishing a four-year program. the portfolio you manage is currently worth $140 million, and you promise to provide a minimum return of 0%. the equity portfolio has a standard deviation of 25% per year, and t-bills pay 6.4% per year. assume that the portfolio pays no dividends. required: a-1. how much of the portfolio should be sold and placed in bills? (input the value as a positive value. do not round intermediate calculations and round your final percentage answer to 2 decimal places.) a-2. how much of the portfolio should be sold and placed in equity? (input the value as a positive value. do not round intermediate calculations and round your final percentage answer to 2 decimal places.) b-1. calculate the put delta and the amount held in bills if the stock portfolio falls by 3% on the first day of trading, before the hedge is in place? (input the value as a positive value. do not round intermediate calculations. round your answers to 2 decimal places.) b-2. what action should the manager take? (enter your answer in millions rounded to 2 decimal places. do not round intermediate calculations.) Bowling The time in which games are played determines the cost per game at Super Strike Bowling.Games played from 1 pm to 4 pm cost $5 Games played after 4 pm and ending before 8 pm cost $6Games played from 8 pm until the bowling alley closes at midnight cost $8Write a step function that models the cost for one game where x represents the number of hours after 12 pm.Kelly and two friends went bowling after school. They each played one game before 4 pm as well as one game after 4 pm. How much did it cost for all three to bowl?