(c) Referring circuit in Figure Q1(c), calculate the \( v_{o}(t) \). (10 marks) Figure Q1(c)

Answers

Answer 1

In Figure Q1(c), the op-amp can be treated as an ideal operational amplifier. The output voltage \( v_{o}(t) \) can be obtained using virtual short concept.

Virtual short concept It states that the voltage at both the input terminals of an ideal operational amplifier are approximately equal to each other, that is,

\( {v_+}(t) \approx {v_-}(t) \).

The output voltage can be obtained using Kirchhoff's Current Law (KCL) at the inverting input node of the operational amplifier as follows:

\frac{{{{\rm{v}}_ - }(t) - {{\rm{v}}_{\rm{O}}}(t)}}{{{R_2}}} +

\frac{{{{\rm{v}}_ - }(t) - {{\rm{v}}_{\rm{i}}}(t)}}{{{R_1}}}=0

Substituting \( {v_+}(t) \approx {v_-}(t) \) in the above equation:

\frac{{{v_i}(t) - {v_{\rm{O}}}(t)}}{{{R_2}}} +

\frac{{{v_i}(t) - {v_{\rm{O}}}(t)}}{{{R_1}}}=0

Simplifying the above equation, we get:

\begin{aligned} {v_{\rm{O}}}(t) &

= {v_i}(t)\left(\frac{1}{{{R_1}}} +

\frac{1}{{{R_2}}}\right)\\ &

= 2{v_i}(t) \end{aligned}

Therefore, the output voltage of the circuit is equal to twice the input voltage.

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Related Questions

The school bus slows from 60 km/h to 40 km/h when entering the school zone.
Given that this change of speed occurred over 8 seconds, calculate the average deceleration of the bus.

Answers

To calculate the average deceleration of the bus, we can use the following formula:

Average deceleration = (Final velocity - Initial velocity) / Time taken

Here, the initial velocity (v1) is 60 km/h, the final velocity (v2) is 40 km/h, and the time taken (t) is 8 seconds. To make the units consistent, we'll convert the velocities from km/h to m/s.

1 km/h = 1000 m / 3600 s = 5/18 m/sv1 = 60 km/h * (5/18) = (60 * 5) / 18 = 50/3 m/s v2 = 40 km/h * (5/18) = (40 * 5) / 18 = 100/9 m/s

Now, we can plug the values into the formula:

Average deceleration = (v2 - v1) / t Average deceleration = ((100/9) - (50/3)) / 8

Now, we'll find a common denominator for the fractions and simplify:

Average deceleration = ((300 - 450) / 27) / 8 = (-150 / 27) / 8Lastly, we'll divide the fraction by 8:Average deceleration = -150 / (27 * 8) = -150 / 216

So, the average deceleration of the bus is approximately -150/216 m/s².

Please answer by tomorrow at 6, thank you so much!

Please answer by tomorrow at 6, thank you so much!

Answers

The menstrual cycle is the monthly series of changes a woman's body goes through in preparation for the possibility of pregnancy. Each month, one of the ovaries releases an egg — a process called ovulation.

What is Menstrual cycle?

At the same time, hormonal changes prepare the uterus for pregnancy. If ovulation takes place and the egg isn't fertilized, the lining of the uterus sheds through the vagina. This is a menstrual period.

The menstrual cycle, which is counted from the first day of one period to the first day of the next, isn't the same for every woman. Menstrual flow might occur every 21 to 35 days and last two to seven days.

For the first few years after menstruation begins, long cycles are common. However, menstrual cycles tend to shorten and become more regular as you age.

Therefore, The menstrual cycle is the monthly series of changes a woman's body goes through in preparation for the possibility of pregnancy. Each month, one of the ovaries releases an egg — a process called ovulation.

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The loss of body heat involving the transfer of heat from the surface of one object to the surface of another without physical contact is:

Answers

The loss of body heat involving the transfer of heat from the surface of one object to the surface of another without physical contact is called radiation.

your answer: radiation

The loss of body heat involving the transfer of heat from the surface of one object to the surface of another without physical contact is called radiation.

Radiation is a type of heat transfer that occurs through electromagnetic waves. In the case of the human body, radiation can occur when the body is in close proximity to colder objects or surfaces. This type of heat loss can happen even when the air temperature is relatively warm. For example, on a sunny day, a person may feel cooler when standing in the shade because the body is losing heat through radiation to the cooler shaded area.
It is important to be aware of radiation as a potential cause of heat loss and take appropriate measures to stay warm in cold environments. Wearing protective clothing and staying in warm areas can help reduce the amount of heat lost through radiation.
In summary, radiation is the transfer of heat from the surface of one object to the surface of another without physical contact and can result in the loss of body heat.

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A 50 kg mass is sitting on a frictionless surface. an unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s.
a) what is the initial momentum of the mass?
b) what is the final momentum of the mass?
c) what was the force acting on the mass?
d) what was the impulse acting on the mass?

Answers

Answer:

Initial momentum: \(0\; {\rm kg \cdot m \cdot s^{-1}}\).

Final momentum: \(150\; {\rm kg \cdot m\cdot s^{-1}}\).

Force on the mass (assuming that the force is constant): \(75\; {\rm N}\).

Impulse on the mass: \(150\; {\rm kg \cdot m \cdot s^{-1}}\).

Explanation:

The momentum \(p\) of an object is equal to the product of mass \(m\) and velocity (a vector) \(v\).

The initial momentum of this mass was \(0\; {\rm kg \cdot m \cdot s^{-1}}\) since the velocity of this object was initially \(0\; {\rm m\cdot s^{-1}}\).

At \(v = 3\; {\rm m\cdot s^{-1}}\), the momentum of this mass (\(m = 50\; {\rm kg}\)) would be:

\(\begin{aligned}p &= m\, v \\ &= 50\; {\rm kg} \times 3\; {\rm m\cdot s^{-1}} \\ &= 150\; {\rm kg \cdot m \cdot s^{-1}}\end{aligned}\).

Assume that the external force \(F\) on this mass is constant. By Newton's Second Law of motion, the external force on this mass would be equal to the rate of change in the momentum of this mass.

Since the momentum of this mass increased by \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\) in \(\Delta t = 2\; {\rm s}\), the external force on this mass would be:

\(\begin{aligned}F &= \frac{\Delta v}{\Delta t} \\ &= \frac{150\; {\rm kg \cdot m \cdot s^{-1}}}{2\; {\rm s}} \\ &= 75\; {\rm kg \cdot m \cdot s^{-2}} \\ &= 75\; {\rm N}\end{aligned}\).

The impulse of an external force on an object is equal to the change in the momentum of that object. Since the change in momentum of this mass was \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\), the corresponding impulse would also be \(150\; {\rm kg \cdot m\cdot s^{-1}}\):

\(\begin{aligned}J &= \Delta v \\ &= 150\; {\rm kg \cdot m\cdot s^{-1}} \\ &= 150\; {\rm N \cdot s}\end{aligned}\).

The illustration shows the forces in Newtons (N) acting on three different blocks. Which
boxes will move under these conditions?

The illustration shows the forces in Newtons (N) acting on three different blocks. Whichboxes will move

Answers

Answer:a

Explanation:because I know

Answer:

B & C

Explanation:

the first block will not move

scientific thinking usually starts with what?

Answers

Answer:

Ask a question.

Explanation:

Your question is the basis of any theory.

Question 1
A block with a mass of 2.5 kg slides with a velocity of 3 m/s on a frictionless surface. It hits a horizontal spring with a spring constant of 10 N/m. How much is the
spring compressed when the block stops?

Answers

Answer:

The kinetic energy of the sliding block is =1/2×m×v  

2

 =1/2×4×2  

2

=8 J

Now since there is no friction on the surface then it is a conservative system. So all the energy of the block will be transferred to the spring and will store as a potential energy. Suppose it will compress the spring by an amount of x m. So the potential energy of the spring will be =1/2×k×x  

2

 

Equating there two energies and solving for x, we will get, 1/2×k×x  

2

=8

Or  0.5(400)x  

2

=8

⟹x=0.2 m.  

Explanation:

HELLLP PLEASE || the graph below shows a conversion of energy for a skydive jumping out of a plane and landing safely on the ground. which energy is represented by line A? A) Potential B) Thermal C) Kinetic D) Total Energy

HELLLP PLEASE || the graph below shows a conversion of energy for a skydive jumping out of a plane and

Answers

Answer: If i'm not mistaken I think it A) potential

Digital _________ Line is a family of point-to-point technologies designed to provide high-speed data transmission over traditional telephone lines.

Answers

Digital Subscriber Line (DSL) is a family of point-to-point technologies designed to provide high-speed data transmission over traditional telephone lines.

How does DSL technology enable high-speed data transmission over telephone lines?

DSL, or Digital Subscriber Line, is a set of technologies that enable high-speed data transmission over existing telephone lines. It revolutionizes the use of traditional telephone infrastructure by allowing users to access the internet at faster speeds without requiring costly upgrades or laying new cables.

DSL technology utilizes the existing copper wire infrastructure of telephone networks to transmit data digitally, offering faster connection speeds compared to traditional dial-up modems.

By employing different variations such as Asymmetric DSL (ADSL), Symmetric DSL (SDSL), and Very-high-bit-rate DSL (VDSL), DSL provides users with reliable and high-speed internet access.

ADSL, the most common form of DSL, offers faster download speeds than upload speeds, making it suitable for applications such as web browsing, video streaming, and online gaming.

SDSL, on the other hand, provides equal upload and download speeds, making it ideal for businesses that require efficient data transfer in both directions.

VDSL, the fastest variant of DSL, offers significantly higher speeds and is commonly used for delivering high-bandwidth services like high-definition video streaming, video conferencing, and VoIP telephony.

DSL technology has played a vital role in bridging the digital divide by providing broadband access to areas where fiber-optic or cable connections are not available or economically feasible.

It has empowered countless individuals, households, and businesses by enabling them to access and utilize online resources, services, and opportunities.

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2. the uniform 150-lb beam is initially at rest when the forces are applied to the cables. determine the magnitude of the acceleration of the mass center and the angular acceleration of the beam at this instant.

Answers

The acceleration of the mass center is \(a = 7.857 rad / s^2\)

and the angular acceleration of the beam at this instant, \(a_{G} = 34.1 ft/ s^2\)

The mass moment of inertia of the beam :

Thus Ig  = 1/2 ml^2

this implies Ig = 1/2 ( 150/ 32.2 ) (12^2)

Thus the required value of Ig = 55.90 slug ft^2

Sigma f of x = m(a g)x

which is equal to Sigma f of x  = 21.47 ft/s^2 --------- 1

because 200 cos 60 = 150/ 32.2 (ag)x

and Sigma f of y = m a (g)y = 26.45 ft^2 --------2

because 200 sin 60 = 55.90α + 100(6)

The acceleration of the mass centre is a = 7.857 rad / s^2

Thus the magnitude of the acceleration is

aG = \(\sqrt{21.47^2+ 26.45^2}\)

aG = 34.1 ft/ s^2

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What has increased the concentration of atmospheric carbon dioxide (CO2)?

Answers

Answer:

Carbon dioxide concentrations are rising mostly because of the fossil fuels that people are burning for energy.

The work of Warren Washington would be most likely to explain wich of the following phenomena

Answers

Gradual shift of North Magnetic Pole's position on Earth, steady rise in planet's average temperature and reduction in the Moon's light reflection.

What does Warren Washington create?

Using climate models, Dr. Washington and his team were able to simulate the effects of physics on a number of weather-related factors, such as "how heat energy, water vapor, and chemicals travel between Earth's seas and the atmosphere." Following that, computers used data from climate models to predict changes in the atmosphere.

These models were utilised to back the 2007 Intergovernmental Panel on Climate Change (IPCC) report's findings that human behaviour directly affects the environment.

Dr. Washington and his group received the 2007 Nobel Peace Prize3 as a result.

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Note: The question given on the portal is incomplete. here is the complete question.

Question: The work of Warren Washington would be most likely to explain which of the following phenomena

Gradual shift of North Magnetic Pole's position on Earth

Steady rise in planet's average temperature

Reduction in the Moon's light reflection.

Increase in Moon light's reflection.

What year was volleyball invented?
10 p
1889
1874
1895
1918
How many players are on each volleyball team?
Please help

Answers

volleyball was invented in the year 1895 by william G. morgan ! hope this helps !!

PLEASEEEE HELP
Blue light of wavelength 435 nm
enters diamond (n = 2.42). What
is the wavelength of the light in
diamond?
(Unit = nm)

PLEASEEEE HELPBlue light of wavelength 435 nmenters diamond (n = 2.42). Whatis the wavelength of the

Answers

Answer:

Wavelength of light in  diamond λ2 = 179.75 nm (Approx.)

Explanation:

Given:

Blue light of wavelength λ1 = 435 nm

n2 in diamond = 2.42

Find:

Wavelength of light in  diamond λ2

Computation:

Since the wavelength is smaller, the frequency stays constant. The frequency of vibrations does not shift when they pass from one source to the next.

So,

n1λ1 = n2λ2

(1)(435) = (2.42)λ2

Wavelength of light in  diamond λ2 = 179.75 nm (Approx.)

Answer:

180

Explanation:

got it right on acellus

forces can be________. What phrase completes the sentence.
1.Pushes only
2.Pushes or pulls
3.Pulls only​

Answers

Answer:

pushes or pulls

Explanation:

hope this helps....

On top of a 3 m tall shelf sits a lonely 4.5 kg toy snake. How much GPE does this snake have if the shelf is on Earth? (g = 9.8 m/s?
answer =

Answers

Answer:

GPE = Mgh = 132J

Explanation:

Mgh

4.5×9.8×3

132J

When a piece of metal is exposed to a magnetic field for a long time , how does it also become magnetized?

Answers

Answer: Ferromagnetism is a phenomenon that occurs in some metals, most notably iron, cobalt and nickel, that causes the metal to become magnetic. The atoms in these metals have an unpaired electron, and when the metal is exposed to a sufficiently strong magnetic field, these electrons' spins line up parallel to each other.

A 0.145 kg baseball is thrown with a velocity of 25.0 m/s. How much work was done on the baseball to bring it from rest to 25.0 m/s? [Neglect air resistance]

Answers

Answer:

45.31 J

Explanation:

We are given that

Mass of baseball , m=0.145 kg

Initial velocity, u=0

Final velocity, v=25 m/s

We have to find the work done on the baseball to bring it from rest to 25 m/s

We know that

Work done = Change in kinetic energy

Work done, W=\(\frac{1}{2}m(v^2-u^2)\)

Using the formula

Work done, W\(=\frac{1}{2}(0.145)((25)^2-0)\)

Work done=\(\frac{1}{2}(0.145)(625)\)

Work done, W=45.31 J

Hence, the work done on the baseball to bring it from rest to 25 m/s

=45.31 J

Which planetary body has the fastest orbit, and which has the slowest orbit? Do you notice a general pattern here? Briefly explain a relationship between orbital velocity and orbital radius.

Answers

The planetary body with the fastest orbit is Mercury, and the one with the slowest orbit is Neptune.

There is a general pattern between orbital velocity and orbital radius known as Kepler's second law of planetary motion. According to this law, a planet sweeps out equal areas in equal times as it orbits the Sun. This implies that planets closer to the Sun have smaller orbital radii and must travel faster to cover the same area in the same amount of time.

The relationship between orbital velocity and orbital radius can be expressed as v ∝ 1/r, where v represents the orbital velocity and r denotes the orbital radius. This relationship shows that as the orbital radius increases, the orbital velocity decreases. In other words, planets farther from the Sun have slower orbital velocities compared to those closer to the Sun.

This pattern is consistent with observations in our solar system. The inner planets, such as Mercury, have smaller orbital radii and faster orbital velocities, while the outer planets, like Neptune, have larger orbital radii and slower orbital velocities.

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The table below shows four examples of pairs of objects, the masses of each
object in the pair, and the distances between the objects. In which example is the
gravitational force of attraction between the two objects the greatest?

The table below shows four examples of pairs of objects, the masses of eachobject in the pair, and the

Answers

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them is called gravitation force of attraction

gravitation force = Gm1 m2 / \(r^{2}\)

G = gravitational constant

m1 = mass of one object

m2 = mass of other object

r = distance between them

case 1

F1 = G (50) (100) / \(20^{2}\) = 12.5 G

F2 = G (50) (10) / \(10^{2}\)  = 5 G

F3 = G (200) (150) / \(10^{2}\) = 300 G

F4 =  G (200) (150) / \(30^{2}\) = 33.33 G

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

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How do the echoes of the sounds of animals help them?

Answers

animals like bats and whales use something called echolocation (sounds or echoes that travel to the other animal) these echoes can let one animal let another one know that danger is near or that food is nearby etc it's like a telephone line

Answer:

Echolocating animals emit calls out to the environment and listen to the echoes of those calls that return from various objects near them. They use these echoes to locate and identify the objects. Echolocation is used for navigation, foraging, and hunting in various environments.

A 10.0 N force is applied to a 2.00 kg mass, what is its velocity of the mass at 10.0 s?

Answers

Answer:

The velocity of the mass after 10.0 seconds is 50.0 m/s.

Explanation:

Explanation: We can use the formula v = (F t)/m to calculate the velocity of the mass. Given that the force applied is 10.0 N, the mass is 2.00 kg, and the time elapsed is 10.0 s, we can substitute these values into the formula to get:

v = (10.0 N * 10.0 s) / 2.00 kg = 50.0 m/s

Therefore, the velocity of the mass after 10.0 seconds is 50.0 m/s.


Which event in the history of black holes happened after Einstein's theory of general
relativity was published in 1915?


A: John Michell coined the term “black holes.”

B: Pierre-Simon de Laplace mentioned the idea of black holes in a written work.

C: Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass.

D: John Wheeler concluded that if black holes did exist, light could not escape them.

Answers

Answer:

C: Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass.

Explanation:

Which event in the history of black holes happened after Einstein's theory of generalrelativity was published

Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass. The correct option is C.

What is Karl Schwarzschild's theory?

A black hole is an area of spacetime in which gravity is so powerful that nothing, not even light or other electromagnetic waves, can escape. According to general relativity theory, a sufficiently compact mass can bend spacetime to generate a black hole.

Karl Schwarzschild, a German physicist, was the first to "find" black holes. In 1915, he proposed a general relativity solution that was applicable to the simple (i.e., nonrotating, uncharged, and boring) example of a perfectly spherical object contained in otherwise empty space.

These suggestions are now known as the Schwarzschild radius and the singularity. Every item is allocated a Schwarzschild radius, which is determined by the object's mass. Gravity's behaviour begins to become strange within this radius.

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An echo returned in 3s. What is the distance of the reflecting surface from the source, given that the speed of sound is 342ms^-1

Answers

Answer:

d = 513 m

Explanation:

Given that,

An echo returned in 3s.

We need to find the distance of the reflecting surface from the source, given that the speed of sound is 342 m/s.

The sound will cover 2d distance. The formula for the speed is given by :

v = d/t

So,

\(v=\dfrac{2d}{t}\\\\d=\dfrac{vt}{2}\\\\d=\dfrac{342\times 3}{2}\\\\d=513\ m\)

So, the required distance is 513 m.

The surface of this planet is obscured by an atmosphere of thick clouds and toxic gases. What planetary body is it

Answers

Answer:

Venus....

Explanation:No explanation just simple answers

A sled on ice moves in the ways described in the questions below. Friction is so small that it can be ignored

Answers

Friction because when it hits the floor or ice it damages it by making little micro cuts

A 4. 0 kg bowling ball sliding to the right at 8. 0 m/s has an elastic head-on

collision with another 4. 0 kg bowling ball initially at rest. The first ball

stops after the collision.

a. Find the velocity of the second ball after the collision.

b. Verify your answer by calculating the total kinetic energy before and

after the collision.

Answers

Answer:

a. 8.0m/s, b. see below

Explanation:

a. use conservation of linear momentum to find v:

mv_0 + m(0) = m(0) + mv, v_0 = v = 8.0 m/s

b. KE_i = 1/2(4)(8)^2 = 128

KE_f = 1/2(4)(8)^2 = 128

KE_i = KE_f so there's no change in kinetic energy, which proves its an elastic head-on collision

The largest deflection from the isoelectric line in the ECG is found in the Multiple Choice A) P wave. B) T wave. C) T-P segmept. D) QRS complex. E) P-R interval.

Answers

The largest deflection from the isoelectric line in the ECG is found in the QRS complex.

The correct option is D.

What is an ECG?

An ECG (electrocardiogram) is a medical test that records the electrical activity of the heart. It is a non-invasive procedure that involves attaching electrodes to the skin of the chest, arms, and legs, which detects the electrical signals generated by the heart as it beats. These signals are amplified and recorded, producing a visual representation of the heart's electrical activity over time, known as an ECG waveform.

The QRS complex is the largest deflection from the isoelectric line in the ECG. It represents the depolarization of the ventricles and is typically a sharp, narrow peak.

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The__of force will determine the ___of acceleration. A.direction,direction B.direction,amount C. Amount,direction D.none of the above

Answers

Answer:

a) Direction, direction

How far will the driver be behind the vehicle in front at 30mph ? Give your answer to 2 significant figures.

Answers

The driver should be at least 39 meters behind the vehicle in front at 30mph. Rounded to 2 significant figures, this is 39 meters

How did we arrive at this value?

The recommended safe following distance while driving is at least 3 seconds behind the vehicle in front of you. At 30mph (or approximately 13 meters per second), a 2-second following distance would be:

3 seconds x 13 meters/second = 39 meters

Therefore, the driver should be at least 39 meters behind the vehicle in front at 30mph. Rounded to 2 significant figures, it could then be concluded that the driver should be at least 39 meters.

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Compare the economic, political, and social life of the 1920s and 1950s in America. purchased a bond with invoice price of 1053 par value of 1000. coupon rate 5.3% 4 months to semiannual date. what is the clean price of the bond the numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. what is hcf (525, 3000)? justify your answer. Factor y3 + 512 completely Can you bring pets to Peace Corps?. The length of a rectangle is 7 more than twice the width. Which equation could represent the area of the rectangle in terms of the width The perimeter of a quarter circle is 3.57 kilometers. What is the quarter circle's radius? Use 3.14 for . kilometers Siubmit explain 2. Gross domestic product that has been adjusted for inflation is known as excerpt from frankenstein by mary shelly.which two details are most important to include in a summary of the excerpt? The Fantastic Ice Cream Shoppe sold 9,600 servings of ice cream during June for $2 per serving. The shop purchases the ice cream in large tubs from the BlueBell Ice Cream Company. Each tub costs the shop $9 and has enough ice cream to fill 20 ice cream cones. The shop purchases the ice cream cones for $0.10 each from a local warehouse club. Located in an outdoor mall, the rent for the shop space is $1,700 per month. The shop expenses $260 a month for the depreciation of the shop's furniture and equipment. During June, the shop incurred an additional $2,400 of other operating expenses (75% of these were fixed costs). Read the Grament Requirement 1. Prepare The Fantastic Ice Cream Shoppe's June income statement using a traditional format. The Fantastic Ice Cream Shoppe Income Statement For the Month Ended June 30 Less Less: Requirement 2. Prepare The Fantastic Ice Cream Shoppe's June income statement using a contribution margin format CAT DU Requirement 2. Prepare The Fantastic Ice Cream Shoppe's June income statement using a contribution margin format. ad The Fantastic Ice Cream Shoppe Contribution Margin Income Statement atic For the Month Ended June 30 cy Less: Less: Who is considered the father of Romanticism? An all-star goaltender is in contract negotiations. The team has offered the following salary structure: Time Salary 0 $ 8,500,000 1 3,900,000 2 4,600,000 3 5,300,000 4 5,800,000 5 6,400,000 6 7,300,000 All salaries are to be paid in a lump sum. The player has asked you as his agent to renegotiate the terms. He wants a $10 million signing bonus payable today and a contract value increase of $1,500,000. He also wants an equal salary paid every three months, with the first paycheque three months from now. If the interest rate is 5 percent compounded daily, what is the amount of his quarterly cheque? Assume 365 days in a year. (Enter the answer in dollars, not millions of dollars. Do not round intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign in your response.) Quarterly cheque amount what are the three workplace skills that students should pay extra attention to improving? A)With one toss of a single number cube, what is the probability of rolling a number less than threeB)write the complement of the event in A and find it's probability A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?. State whether the following statement is True or False: London was an adventurous person, but he lacked strong will power. To produce x units of a religious medal costs C(x)=14x+64. The revenue is R(x)=30x. Both cost and revenue are in dollars a. Find the break-even quantity. b. Find the profit from 480 units. c. Find the number of units that must be produced for a profit of $160. a. units is the break-even quantity. (Type an integer.) The company also has plans to open a third obstacle course, the gridrion where the first three checkpoints will have coordinates A"(0,-5)B"(9,-5), and C"(4,-5) What relationship could this location have to the previous locations? the singing of spirituals offered the slave community a sense of solidarity. T/F What are the main stages of the water cycle?