Melissa buys 212 pounds of salmon and 114 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish? A. $15.60 B. $15.80 C. $16.60 D. $16.80

Answers

Answer 1

Answer:

C. $16.60

Step-by-step explanation:

Let the cost per pound of salmon be represented by x

The cost per pound of swordfish be represented by y

Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The swordfish costs $0.20 per pound less than the salmon.

y = x - 0.20

Hence, we substitute

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.25

3.75x = 31.5

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of swordfish be represented by y = $8.2

The cost of a pound of salmon and sword fish

= $8.4 + $8.2

=$16.60


Related Questions

Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Diagonal length: 25
Width: 24
Height: h

We treat it as a right triangle:

25^2 = 24^2 + h^2 <=>

h^2 = 25^2 - 24^2 <=>

h^2 = 625 - 576 <=>

h^2 = 49 <=>

h = 7

The TV is 7 inches tall.

The rate at which Mr. Story's Twitch subscribers increased per year after 2020 is
modeled by the exponential function f(x) = 100(1.25). If x is the number of years
after 2020, approximately how many subscribers will Mr. Story have in 2030?

Answers

Answer:

A lot

Step-by-step explanation:

The rate at which Mr. Story's Twitch subscribers increased per year after 2020 ismodeled by the exponential

The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?

Answers

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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Find the derivative, if it exists, of the function at the specified point.() = ^2 − 4 + 3 at = 1

Answers

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

\(\begin{gathered} f(x)=x^2-4x+3 \\ f^{\prime}(x)=2x^{2-1}-4x^{1-1}-0\cdot3 \\ f^{\prime}(x)=2x-4 \end{gathered}\)

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

\(f^{\prime}(1)=2(1)-4=2-4=-2\)

The derivative of the function is -2 at x=1.

3 1/8 - b = 1 3/4
how do I figure out what b is?

Answers

Exact form: b=11/8

Mixed form: b= 1 3/8
First, your goal is to get the variables to one side, and the numbers to the other. In this case, subtract the 3 1/8 from both sides. Then you will have a negative variable. You can flip the sign on the other side to get a positive variable = a number.

Did not want to do the real math. Explanations are worth more than answer

Write the equation of the line fully simplified slope-intercept form.

Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

y = 3/2x + 5

Step-by-step explanation:

y = Rise/Run + y intercept

Answer:

how am i supposed to know this

Step-by-step explanation:

loser

10. Find the solution set for the following
y=x²-3x-4
y-x=-4

Answers

Answer:

I have no idea tbh I need help with this too

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!

We want all equations in terms of “y.” The first equation (the quadratic) is already in terms of y, but the second equation (linear equation) is not in terms of y.

Solving second equation in terms of y:

Add x to both sides:

y=-4+x

Use the commutative property if addition to rearrange the Rayo to y=mx+b form:

y=x-4

So, we have a quadratic function and a linear equation.

Pay close attention to the equations below:

y=x²-3x-4

y=x-4

Both equations are equal to y, and because a system of equation solves for interception points on the two functions (the point where the two functions contain the same x and y-coordinates), the y-coordinates must be equal to each other. Therefore, the equations can be set equal to each other:

(x-4)=x²-3x-4

Factor the quadratic:

(x-4)=(x+1)(x-4)

Now, let’s solve for x:

Divide both sides by (x-4):

(x-4)/(x-4)=[(x+1)(x-4)]/(x-4)

Simplify:

1=(x+1)

Subtract 1 to both sides:

1-1=x

0=x

Apply the symmetric property:

x=0

Now that we know the two equations intercept at x=0, let’s plug 0 back into “y” to find its value. Since both equations are set equal, plug x=0 in for either one.

y=(0)-4

y=-4

So, a solution set is (0, -4) and (4, 0)

Calculate the cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v)

Answers

The cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v) is                ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

The cross product of two vectors using the distributive property:

(u - 7v) × (u + 7v) = u × u + u × 7v - 7v × u - 7v × 7v

Also, cross product is anti-commutative. Specifically, the cross product of v × w is equal to the negative of the cross product of w × v. So, we can simplify the expression as follows:

(u - 7v) × (u + 7v) = u × 7v - 7v × u - 7(u × 7v)

Now, using u × v = ⟨7, 6, 0⟩ to evaluate the cross products:

u × 7v = 7(u × v) = 7⟨7, 6, 0⟩ = ⟨49, 42, 0⟩

7v × u = -u × 7v = -⟨7, 6, 0⟩ = ⟨-7, -6, 0⟩

Substituting these values into the expression:

(u - 7v) × (u + 7v) = ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - 7⟨7, 6, 0⟩ - 7⟨-7, -6, 0⟩

= ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - ⟨49, 42, 0⟩ + ⟨49, 42, 0⟩

= ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩

Therefore, (u - 7v) × (u + 7v) = ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

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Tienes 12 personas Todas pesan exactamente lo mismo Menos 1 persona que pesa un poco más o un poco menos Dispones de una balanza y puedes pesar 3 veces Quien es el que pesa distinto

Answers

Answer:

El que pesa distinto es aquel que causa un desnivel en la balanza.

Step-by-step explanation:

Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.

Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.

En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.

En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.

What 2 numbers that multiply to make 7 and add to 6

Answers

Answer:1 and 6

Step-by-step explanation:1 x 6 = 6

1 + (6) = 7

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 7x + 6 = 0

If so, the solution to factor the quadratic equation above is:

(X + 1 ) (X + 6)

To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:

x2 + 7x + 6 = (X + 1 ) (X + 6)

Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °

Answers

Answer:

A= 61

B=119

Step by step:

a; interior angle

180-(27+92)

=180(119)

=61

b; exterior angle

180-61

=119

Answer: 61 and 119

Step-by-step explanation:

How many pounds of flour is required to make
7 cakes if 1 cake takes 1 ½ lbs

Answers

Answer:

10 1/2 pounds are needed.

Step-by-step explanation:

7 x 1.5 = 10.5

the cube with 2.00 m wide and 2.00 m long and 2.00 m high has a weight of 900.00 n. what pressure does it exert?

Answers

If the cube with 2.00 m wide and 2.00 m long and 2.00 m high has a weight of 900.00 n, then the cube exerts a pressure of 225 N/m².

To calculate the pressure exerted by the cube, follow these steps:

Step 1: To calculate the pressure exerted by the cube,  you need to consider its weight and the area over which it is exerting the force. The cube has a weight of 900 N and dimensions of 2.00 m x 2.00 m x 2.00 m.

Step 2: To find the pressure, we will use the formula:

Pressure (P) = Force (F) / Area (A)

Step 3: In this case, the force is the weight of the cube (900 N), and the area is the base of the cube (2.00 m x 2.00 m).

A = 2.00 m * 2.00 m = 4.00 m²

Step 4: Now, you can calculate the pressure:

P = 900 N / 4.00 m² = 225 N/m²

So, the cube exerts a pressure of 225 N/m².

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1. (1 point)
Determine the measure of 0 to the nearest degree.

a. 40°
b. 38°
C. 36°
d. 42°

1. (1 point)Determine the measure of 0 to the nearest degree.a. 40b. 38C. 36d. 42

Answers

I would say 36. Sorry if I'm mistaken
Brainliest would be nice

Which transformations will alter the location of the vertex?
(check all that apply)
-Reflection
-Stetch/compression
-Transltion left/right
-Translation up/down

Answers

Answer:

reflection

transition left / right are the location of the vertex

A right triangle has legs of 21 inches and 28 inches
whose sides are changing. The short leg is decreasing by 2
in/sec and the long leg is shrinking at 5 in/sec. What is the
rate of change of the area?

Answers

The rate of change of the area is -80.5 \(inches^{2}\)/sec.

Given:

A right triangle has legs of 21 inches and 28 inches whose sides are changing.The short leg is decreasing by 2 in/sec and the long leg is shrinking at 5 in/sec.

Let's set the two legs as a and b, so the lengths are:

a = 21 - 2t

b = 28 - 5t

The area is:

area a = ab /2

= (21 - 2t) (28 - 5t)/2

= (588 - 105t - 56t + 10\(t^{2}\)/2

a = 5\(t^{2}\) - 161t/2 - 299

The rate of change of the area is:

da/dt = d(5\(t^{2}\) - 161t/2 - 299)/dt

da/dt = 10t -161/2

And at t=0,

= 10(0) - 161/2

= - 80.5

so the  rate of change of the area is -80.5 \(inches^{2}\)/sec.

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1 pts
Find the value of x
30x
2
29x + 4
Pls answer ASAP

1 ptsFind the value of x30x229x + 4Pls answer ASAP

Answers

Answer:

x = 4

Step-by-step explanation:

30x = 29x + 4

subtract 29x from both sides

x = 4

Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. Group of answer choices True False

Answers

The correct answer to the given question is "True."

Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. The main purpose of the cross-sectional design is to gather information about a population at a specific time or period. Cross-sectional research is frequently used in psychology, epidemiology, marketing research, and other fields. The word "systematic" is used in the question, which implies a methodical or orderly procedure. Cross-sectional design gathers information through a systematic and organized method. Therefore, it is true that cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time.

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The diagram shows a sector of a circle, radius 45 cm, with angle 84º.
45 cm
840
Diagram NOT
accurately drawn
Calculate the area of the sector.
Give your answer correct to 3 significant figures.

Answers

Answer:

area of sector=84°/360°×π×45²=1485cm²

The area of the sector to 3 significant figure is 1480cm²

Area of a sector.

The formula for calculating the area of a sector is expressed as

A= r²β/2

where;

r is the radius. = 45cm

β is the central angle =84 degrees

Substitute

A = (45)²(84π)/360
A = 1483.65cm²

Hence the area of the sector to 3 significant figure is 1480cm²

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16+4(q+11)+10q simplify

Answers

Answer:

Dogodgo

Step-by-step explanation:

Find the surface Area of the rectangular prism. 7mi, 4 mi, and 2 mi

Answers

Answer:

I believe the answer is 100mi

Step-by-step explanation:

=_=

100mi. Just use the formula “2lw+2lh+2hw”

i was really not understanding this question....pls need the ans!!
i will mark you brianlist...

i was really not understanding this question....pls need the ans!!i will mark you brianlist...

Answers

Answer:

x = 135 degrees

y = 45 degrees

Step-by-step explanation:

angle F = 90 = E  degrees

triangle EBF is isosceles so the angles at the base would be 180-90 = 90/2

which would equal 45.

Hence, y would equal 45.

45 + x = 180 (supplementary)

x = 135

i was really not understanding this question....pls need the ans!!i will mark you brianlist...

I NEED AN ANSWER ASAP PLEASE

I NEED AN ANSWER ASAP PLEASE

Answers

Step-by-step explanation:

the correct answer is option a 6a-7

The table represents the function f(x).
4
0
1
f(x) -4 -3
-
x
If gtx)= 4√ 8, which statement is true?
OA. The y-intercept of g(x) is less than the y-intercept of f(x).
OB. The y-intercept of g(x) is equal to the y-intercept of f(x).
OC. The x-intercept of g(x) is equal to the x-intercept of f(x).
OD. The x-intercept of gtx) is greater than the x-intercept of f(x).
42
96
-1
16

Answers

Answer:I don’t Knowt Try To Answer it yourself

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)

Answers

y=2/7x is the correct answer

boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?

Answers

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Problem 1 A car has an initial speed of vo= 25m/s to the east and a constant acceleration of a = 3m/s² when a water drop begins to fall from rest. After dropping a distance of h= 10m, the water drop strikes the hood of the car. Aerodynamic drag is not considered here. (1) Determine the speed of the drop and the speed of the car when the strike occurs. [16 pt.] (2) Determine the velocity and acceleration the drop appears to have with respect to a passenger in the car (direction and magnitude). [16 pt.]

Answers

The speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.

The drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.

The drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.

Determining speed and velocity

(To determine the speed of the water drop and the speed of the car when the drop strikes the hood,

use the kinematic equations of motion.

First, we can find the time it takes for the drop to fall 10m using the kinematic equation:

distance h = 10m,

\(h = 1/2 at^2\)

where

h is the vertical distance,

a is the acceleration due to gravity (9.8m/s²), and t is the time.

Substituting the values, we have;

\(10 = 1/2 (9.8) t^2 \\

t^2 = 20/9.8 \\

t ≈ 1.43 seconds\)

Next, find the final velocity of the drop using the kinematic equation:

\(v = vo + at\)

where v is the final velocity,

vo is the initial velocity (which is 0m/s for the drop),

a is the acceleration due to gravity, and

t is the time we just calculated.

Substituting the values, we have

v = 0 + (9.8)(1.43)

v ≈ 14.0 m/s downward

Finally, find the speed of the car when the drop strikes the hood using the kinematic equation:

\(v = vo + at\)

v = 25 + (3)(1.43)

v ≈ 29.3 m/s to the east

Therefore, the speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.

To determine the velocity and acceleration

The velocity of the water drop with respect to the passenger in the car is simply the vector difference between the velocity of the water drop and the velocity of the car:

v_drop,p = v_drop - v_car

where v_drop is the velocity of the water drop (14.0 m/s downward) and

v_car is the velocity of the car (29.3 m/s to the east).

Substituting the values, we get:

v_drop,p = (0, -14.0, 0) - (29.3, 0, 0)

v_drop,p = (-29.3, -14.0, 0) m/s

Thus, the drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.

The acceleration of the water drop with respect to the passenger in the car is simply the vector difference between the acceleration of the water drop and the acceleration of the car:

a_drop,p = a_drop - a_car

where a_drop is the acceleration due to gravity (9.8 m/s² downward) and

a_car is the acceleration of the car (3 m/s² to the east).

Substituting the values, we have,

a_drop,p = (0, -9.8, 0) - (3, 0, 0)

a_drop,p = (-3, -9.8, 0) m/s²

Therefore, the drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.

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3/4 x 8 = ?

I need help for this question.

Answers

Answer:

6 hope this was fast

Answer:

6

Step-by-step explanation:

\(\frac{3}{4}\) x 8 =

\(\frac{3}{4}\) × \(\frac{8}{1}\) = \(\frac{24}{4}\)

\(\frac{24}{4}\) = 6

find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.

Answers

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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A landscape architect plans to enclose a 4000 square-foot rectangular region in a botanical garden. She will use shrubs costing $20 per foot along three sides and fencing costing $25 per foot along the fourth side. Find the dimensions that minimize the total cost. What is the minimum cost? Show all work. Round solutions to 4 decimal places

Answers

The landscape architect should use a length of approximately 80 ft and a width of approximately 50 ft to minimize the cost, resulting in a minimum cost of approximately $9000.

Let the length of the rectangular region be L and the width be W. The total cost, C, is given by C = 3(20L) + 25W, where the first term represents the cost of shrubs along three sides and the second term represents the cost of fencing along the fourth side.

The area constraint is LW = 4000. We can solve this equation for L: L = 4000/W.

Substituting this into the cost equation, we get C = 3(20(4000/W)) + 25W.

To find the dimensions that minimize cost, we differentiate C with respect to W, set the derivative equal to zero, and solve for W. Differentiating and solving yields W ≈ 49.9796 ft.

Substituting this value back into the area constraint, we find L ≈ 80.008 ft.

Thus, the dimensions that minimize cost are approximately L = 80 ft and W = 50 ft.

Substituting these values into the cost equation, we find the minimum cost to be C ≈ $9000.

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n below if a = -2 and b = 3.a+2b/4 + 4a What is the maximum amount of memory supported by a 32-bit windows operating system? For the fallowing transpiration problem the objective function will be? by using the voge M1 M2 M3 M4 SUPPLY A 10 1 20 11 15 B 12 7 9 20 25 C 1 14 16 18 5 DEMAND 5 15 15 10 45 True or false? No links please help! Write a program that reads a list of words. Then, the program outputs those words and their frequencies. Let S be a set with n elements and let a and b be distinct elements of S. How many relations R are there on S such that 1. (a, b) R? 3. no ordered pair in R has a as its first element? 4. at least one ordered pair in R has a as its first element? 5. no ordered pair in R has a as its first element or b as its second element? 6. at least one ordered pair in R either has a as its first element or has b as its second element? In the United States, a winning defendant may recover legal fees from the losing party if they prove ____________. what is the value of 30-2(7+2)-1 The internal audit function of one of your clients consists of 3 staff. The Head of Internal Audit is a former Big 4 audit manager with 12 years experience in the profession. He also has 4 years of internal audit experience. He reports directly to the Board and meets with external auditors on a timely basis. Since joining the firm he has spent most of his time developing audit work programs, improving internal control systems documentation of the company and reviewing any internal audit work performed by his staff. He is assisted by a new accounting graduate, and another staff member who has no accounting qualifications but has 6 years internal audit experience.Outline the main factors that would determine your reliance on the clients internal audit function ie the extent to which the internal work is adequate for the purposes of the audit. In the diagram, X is the midpoint of vz and wY. W V X N Y Why is AVWX EAZYX? (G.6) (1 point) O A. Side-Angle-Side O B. Angle-Angle-Side O C. Angle-Side-Angle If 1.34 1020 electrons move through a pocket calculator during a full day's operation, how many coulombs of charge moved through it? A famous psychologist argues that there are three factors that influence personality: environment, cognition, and behavior. This psychologist is most likely a ________ psychologist. To follow the truth is our responsibility you have a cubical box (sides all of length a) made of six metal plates which are insulated from each other. the left wall is located at x You have been just hired as CEO of Bitter Inc., a conglomerate that operates inthree businesses. The details of the businesses are provided below:EntertainmentMovie TheatersTravel ServicesCompanyRevenues$450$400$325$1,175Operating Income (next year)$200$85$95$380Effective tax rate36%20%36%32.42%After-tax Operating Income (next year)$128$68$61$257Invested Capital$525$375$125$1,025Expected Growth Rate3.50%3.50%3.50%3.50%Cost of capital11.00%9.25%8.00%10.25%a. What is the value of the consolidated company, using the combined companys cash flows and cost of capital?b. What is the value of Bitter as the sum of its parts, using the divisional cash flows and the industry average cost of capital for each division?c. If you are getting a different value for Bitter in part b, where is the difference coming from?A conglomerate discount is being applied by the market.The broken-up businesses will be run more efficiently as stand-alone units.The combined company has a less optimized capital structure than that the individual units could have.The broken-up businesses will pay less in taxes than the combined company.The broken-up businesses will have higher growth than the combined company.All of the above. how many servings of dairy should the nurse recommend be included each day for a family member consuming 2000 cal/day What is the final step in the cell-mediated response to a viral infection?Macrophages digest viral particles.CD8+ T cells are activated.Antibodies coat viral particles.Cytotoxic T lymphocytes punch holes in the membranes of infected host cells. Calculate marginal opportunity costs using graph showing oranges and cherries The Punic Wars were fought between Rome and __________. A. Egypt B. Persia C. Greece D. Carthage Write an equation in standard form for the line that passes through the givenpoints.(2,8), (6,10) Please help