a car has forces acting on it, as shown below. the mass of the car is 1000.0 kg. what is the acceleration of the car?

Answers

Answer 1

The acceleration of the car is 0.48 m/s2.

What is Motion?

Motion is the process of changing position or location over a period of time. It is an essential part of the natural world and is a fundamental concept in physics. Motion can be described in terms of speed, velocity, acceleration, and momentum. It is also used to describe the movement of objects in relation to other objects or forces and can be used to calculate the forces acting on an object. Motion is a key factor in understanding the physical world and is essential in engineering, physics, and other fields.

Fg = 980 N (gravitational force)

Fr = 500 N (resistance force)

The acceleration of the car can be calculated using Newton's Second Law of Motion, which states that acceleration is equal to the net force divided by the mass of the object.
In this case, the net force is 980 N - 500 N = 480 N,
So the acceleration of the car is 480 N / 1000.0 kg = 0.48 m/s2.

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Related Questions

What does the change in the period with respect to the eccentricity tell you about the dependence of the period on the eccentricity?

Answers

What does the shift in the period's relationship to its eccentricity reveal about the period's reliance on the eccentricity The duration is independent of eccentricity.

How is an ellipse's eccentricity determined?

Weirdness e = c/a if the focus's distance from the ellipse's center is "c" and the tip of the ellipse's distance from the central is "a." E = 1 b 2 a 2 is another formula to get the eccentricity of an ellipse. 

What does geometric eccentricity mean?

The term "eccentricity" is defined in terms of the fixed-point known as focus as well as the fixed-line known as the perpendicular line in the plane. The definition of eccentricity in geometry, the eccentricity formula, and the eccentric of several conic sections, including parabola, ellipse, and hyperbola, will all be covered in detail in this article along with worked-out examples.

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What is the value of G on earth and moon?

Answers

We have that The acceleration due to gravity on the Moon And

The acceleration due to gravity on the surface of the Earth is approximately

\(1.625 m/s^2\)

\(9.81 m/s^2,\)

From the Question we are asked

The value of G on earth and moon?

Where G refers to The acceleration due to gravity

Generally

The acceleration due to gravity on the Moon is approximately

\(1.625 m/s^2,\)

And

The acceleration due to gravity on the surface of the Moon is approximately

\(9.81 m/s^2,\)

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HELPPPPP MEEEEE PLEASE I NEED TO SUBMIT IN LESS THAN 10 MINSS

HELPPPPP MEEEEE PLEASE I NEED TO SUBMIT IN LESS THAN 10 MINSS

Answers

Answer:

X = 2146.05 m

Explanation:

We need to understand first what is the value we need to calculate here. In this case, we want to know how far from the starting point the package should be released. This is the distance.

We also know that the plane is flying a certain height with an specific speed. And the distance we need to calculate is the distance in X with the following expression:

X = Vt   (1)

However we do not know the time that this distance is covered. This time can be determined because we know the height of the plain. This time is referred to the time of flight. And the time of flight can be calculated with the following expression:

t = √2h/g   (2)

Where g is gravity acceleration which is 9.8 m/s². Replacing the data into the expression we have:

t = √(2*2500)/9.8

t = 22.59 s

Now replacing into (1) we have:

X = 95 * 22.59

X = 2146.05 m

This is the distance where the package should be released.

Hope this helps

what does the slope of a speed vs time graph means

Answers

Answer:

speed = m/s on y axis

time = s on x axis

when you calculate the slope you do y2-y1/x2-x1 right?

m/s/s become \(m/s^2\), which is the unit of acceleration

On a speed vs time graph, if you see that the line is constant, then acceleration = 0 because there is no difference in speed, you are not acceleration or decelerating.

So in summary, it's acceleration

Hope that that answers your question

Don't hesitate to leave a comment if you are confused about something

Explanation:

1. A simple pendulum has a period T on the earth. If it were used on planet X, where the acceleration due to gravity is 3 times what it is on earth, its period would be?
a.3T b. radical3 T c.T d.T/radical3 e. T/3
2. A light triangular plate OAB is in a horizontal plane. Three forces, F1=8N, F2=3N, and F3=7N, act on the plate, which is pivoted about a vertical axis through point O. Figure 10.1, the torque of force F1 about the axis through point O is closest to:
a. 3.0 N*m b. 4.8N *m c. 4.2 N*m d. 3.6N*m e. 2.4 N*m
3. In Figure 10.6, a mass of 40.72 kg is attached to a light string, which is wrapped around a cylindrical spool of radius 10 cm and moment of inertia 4.00 kg. * m^2 . The spool is suspended from the ceiling, and the mass is then released from rest a distance 1.50m above the floor. How long does it take to reach the floor?
a. 3.61s b. 1.82 s c.2.56 s d. 1.73 s e. 0.580 s
4. The period of a simple pendulum in a grandfather clock on another planet is 1.79s. What is the acceleration due to gravity on this planet if the length of the pendulum is 1.00m?
a. 14.8 m/s^2 b. 11.4 m/s^2 c. 13.5 m/s^2 d. 12.3 m/s^2

Answers

The period on planet X is (2/√3) times the period on Earth. Option A is correct.

The torque of force F1 about the axis through point O is closest to 4.8 N*m. Option B is correct.

The time taken for the mass to reach the floor is approximately 0.580 s. Option E is correct.

The acceleration due to gravity on this planet is 11.4 m/s². Option B is correct.

The period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

If the acceleration due to gravity on planet X is 3 times that of Earth, then g_X = 3g_E.

Using the formula for the period, we can rewrite it as

T_X = 2π√(L/g_X).

Substituting

g_X = 3g_E,

we get

T_X = 2π√(L/(3g_E)).

Since T_X is the period on planet X and T is the period on Earth, we have

T_X = 2π√(L/(3g_E))

      = 2π√(1/3) * √(L/g_E) = (2/√3)T.

Therefore, the period on planet X is twice as long as the period on Earth. Option A is correct.

Torque is defined as the product of the force applied and the perpendicular distance from the point of rotation. In this case, the torque of force F1 can be calculated as torque = F1 * d1, where d1 is the perpendicular distance from point O to the line of action of F1.

Since the plate is in a horizontal plane and force F1 is acting vertically downward at point A, the perpendicular distance d1 is equal to the length of OA. Therefore, the torque of force F1 about the axis through point O is closest to F1 * OA = 8N * OA. 4.8 Nm is the closest value to 8N*m. Option B is correct.

The time taken by the mass to reach the floor can be calculated using the equation:

h = (1/2)gt²,

where h is the distance fallen, g is the acceleration due to gravity, and t is the time taken.

In this case, the distance fallen is given as 1.50 m, and the acceleration due to gravity can be calculated using the equation:

g = (m * a) / I,

where m is the mass and I is the moment of inertia.

Substituting the given values, we have

g = (40.72 kg * 9.8 m/s²) / 4.00 kg*m²

  = 99.82 m/s².

Now we can rearrange the equation for time as

t = √(2h / g).

Substituting the values for h and g, we get

t = √(2 * 1.50 m / 99.82 m/s²) = 0.580. Option E is correct.

The period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

Given that the period T is 1.79 s and the length of the pendulum L is 1.00 m, we can rearrange the formula to solve for g.

Squaring both sides of the equation and isolating g,

we have

g = (4π²L²) / T².

Substituting the given values, we get

g = (4π² * (1.00 m)²) / (1.79 s)² = 11.4 m/s². Option B is correct.

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An example of a poor conductor of electricity is a
A. paper clip
B. gold necklace
c. cup of salt water.
D.
cup of pure water.

Answers

Answer:

5

Explanation:

Because it right

11. (a) Priya connects an electrical circuit. Ø What type of circuit is shown in the diagram? Circle the correct answer. Walls parallel circuit with closed switch series circuit with closed switch parallel circuit with open switch parallel and series circuit with open switch series circuit with open switch​

11. (a) Priya connects an electrical circuit. What type of circuit is shown in the diagram? Circle the

Answers

Answer:

parallel circuit with switch closed

Explanation:

The two circles with X's ( the load) are wired side-by-side ...in parallel.

The switch ( between the two dots  at the top) is CLOSED

How much work is done when 0.0042C is moved through a potential difference of 12.0V? Use W = qV
A. 2900J
B. 12J
C. 0.00035J
D. 0.050J

Answers

Answer:

Work done by charge (W) = 0.050 (Approx)

Explanation:

Given:

Charge (q) = 0.0042 C

Potential difference(V) = 12.0 V

Find:

Work done by charge

Computation:

Work done(W) = qV

Work done by charge (W) = (0.0042)(12)

Work done by charge (W) = 0.0504

the lead nucleus has a diameter of 14.2 fm . what is the density of matter in a lead nucleus?

Answers

The density of matter in a lead nucleus is 2.82 x 10¹⁷ kg/m³.

Lead nucleus is composed of protons and neutrons. The density of a nucleus is the mass of a nucleus divided by the volume occupied by the nucleus. The volume of a nucleus can be determined using the formula

(4/3)πr³,

where r is the radius of the nucleus. As the diameter of a lead nucleus is given as 14.2 fm, the radius of a nucleus can be calculated as follows:

radius = diameter/2

= 14.2 fm/2

= 7.1 fm

Hence, the volume of a lead nucleus can be calculated as:

(4/3)πr³ = (4/3)π(7.1 fm)³

= 1.57 x 10⁻⁴ fm³

As the mass of a lead nucleus is 3.15 x 10⁻²⁵ kg, the density of matter in a lead nucleus can be calculated as follows:

Density = Mass/Volume

= 3.15 x 10⁻²⁵ kg/1.57 x 10⁻⁴ fm³

= 2.82 x 10¹⁷ kg/m³

The density of matter in a lead nucleus is 2.82 x 10¹⁷ kg/m³.

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Remember that different colors have different wavelengths. Given this fact, why would coherent light need to be all one color?

Answers

Different wavelengths of light result in various color perceptions. Whereas violet is perceived by the shortest wavelengths, red is perceived by the longest ones.

How are wavelength and frequency defined?

Frequency and wavelength are two important characteristics of a wave cycle. A further definition of "wavelength" is the distance between any two matching positions on adjacent waves. Frequency is another word for the number of waves that pass through a specific location in a specific amount of time.

Is the wavelength of light the same?

The wavelength is the space between successive crests, whereas the frequency is the quantity of crests that impact the beach per second. The only distinction is that we do so when discussing light rather than water.

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A bicycle travels 22 km in 0.50 hr. What is its average speed?

Answers

Answer:

22/0.50=44

Explanation:

average speed= distance / time

How does a balanced Chemical Equation Satisfy the Law of Conservation of Mass?
A. During a chemical reaction, the total amount of matter stays the same.
b. During a chemical reaction, matter is destroyed.
c. During a Chemical reaction, one ore more new substances formed.
d. During a chemical reaction, the total number of atoms increases.

Answers

During a chemical reaction,one ore more new substances forwed

a uniform meter stick is freely pivoted about the 0.20m mark. if it is allowed to swing in a vertical plane with a small amplitude

Answers

The period of the pendulum is approximately 2.01 seconds.

The period of a simple pendulum is determined by its length and the acceleration due to gravity. In this case, the length of the pendulum is 0.20 meters.

The period (T) of a pendulum can be calculated using the formula:

T = 2π√(L/g)

where L is the length of the pendulum and g is the acceleration due to gravity.

Substituting the given values into the formula:

T = 2π√(0.20/9.8)

Calculating the expression:

T ≈ 2π√(0.0204)

T ≈ 2π(0.143)

T ≈ 0.902π

T ≈ 2.01 seconds

Therefore, the period of the pendulum is approximately 2.01 seconds.

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Please explain how you got the answer :(

Please explain how you got the answer :(

Answers

Answer:

36.5 kJ

Explanation:

Energy by machine = energy to machine × efficiency

E = 52.1 kJ × 0.70

E = 36.5 kJ

What property of an object describes its natural tendency to resist an acceleration?

Answers

In fact, it is the natural tendency of objects to resist changes in their state of motion. This tendency to resist changes in their state of motion is described as inertia. Inertia = the resistance an object has to a change in its state of motion.

what is the relationship between frequency and pitch?

Answers

In general, pitch increases more rapidly than frequency for tones below 1000 Hz and less rapidly for tones above 1000 Hz. That is, for frequencies above 1000 Hz a greater change in frequency is needed to produce a corresponding change in pitch.

moral lesson learnt from the sermon on the mount​

Answers

Blessed are the merciful: for they shall obtain mercy is the moral lesson learned from the sermon on the mount​

What is the Sermon on the Mount's main message?

Christians learn the following crucial lessons from this sermon: The things we own here on Earth don't matter. Good people will discover meaningful spiritual "treasures" in Heaven. God will take care of people, so they shouldn't be concerned.

In the Sermon on the Mount, what did Jesus say?

1. And, seeing the crowds, he climbed a mountain: His disciples came to him after he was set.

2. And he spoke to them, saying

3. Because the kingdom of heaven is theirs, those who are poor in spirit are blessed.

4. Happy are the bereaved because they will find comfort.

Who wrote the sermon on the Mount?

Scholars put forth a number of arguments for the claim that Matthew is the author of the Sermon on the Mount, but only using New Testament sources.

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consider the 6 stages listed below for the lives of a human being and a star. describe what a 1 solar mass star does in each stage of its existence:

Answers

Note that this is a trick question. It is true that the mass of a star affects its life cycle but all stars must go through the stages listed below. Note that the larger the solar mass of a star, the shorter its life cycle. Hence, in each of the stages given here is what will occur:

Prenatal Stage

protostar is reliant on its environmentgrows in size, temp, and internal pressure

Birth Stage

The star is able to sustain itself by making its own energy by nuclear fusion

Adolescence/Adulthood

The nuclear fusion continues and maintains equilibriumNote that 90% of the stars life is in the main sequence

Middle age

The sun is in middle age, in the middle of main sequence cycleIt reaches it's prime of life

Old age

Nuclear fusion of hydrogen to helium ends in the core and the star goes into another fusion stage of helium to carbonIt then swells into a red giant.

Death

All fusion processes stop as the outer part of the star is lost Turns in to a planetary nebula and the hot, inert core begins to cool off

What is the Solar Mass of a Star?

The solar mass is a unit of mass used to measure the masses of objects in the solar system, including stars. It is defined as the mass of the Sun, which is approximately 1.989 x 10³⁰ kilograms, or about 333,000 times the mass of the Earth.

Hence, since the earth's sun is 1.989 x 1010³⁰ kilograms, a star described as having 1 solar mass is simply a star equivalent of the Earth's sun.

Note however that the solar mass is often used as a standard unit of mass for comparing the masses of objects in the universe, such as planets, asteroids, and stars.

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Full Question:

Compare the following stages in the lives of a human being and a star: prenatal, birth, adolescence/ adulthood, middle age, old age, and death. What does a star with a solar mass of 1 solar mass do in each of these stages?

What does static on the radio refer to?
A. amplitude
O B. frequency
C. noise
D. station

Answers

Answer:Station

Explanation:

HELP ME PLSSSS PLSSS PLSSSS

HELP ME PLSSSS PLSSS PLSSSS

Answers

Answer:

Its upside down

Explanation:

I recommend asking a teacher for help

What is the normal result of the trade winds blowing from South America to Indonesia and Australia?

Group of answer choices

Warm water is pushed west

South America develops a cool climate

Cool water comes to the surface off the coast of South America

Warm water produces rainy weather in Indonesia and Australia

Warm water spreads across the ocean and slows the trade winds

Answers

The normal result of the trade wind blowing from South America to Indonesia and Australia warm water produces rainy weather in Indonesia and Australia. Option D

What are trade winds?

We know that the trade winds are the winds that tend to originate at the north east or the south eastern parts of the hemisphere and tend to be blowing across the seas towards the equator. Thus we can see that the focus of the trade winds is the equator and they emanate from north or south.

One of the effects of the trade winds is that they make the wind warmer and that would make to the emergence of a warmer weather and this would spread to the other parts of the word as we can see from map studies.

The effects of the trade winds  blowing from South America would tend  to be much more felt around the areas of  Indonesia and Australia and this is very important to weather changes around those areas.

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who is the target group of referred to or described in the text about gabu?

Answers

The target group of readers is anyone who reads the text, which means that everyone is the target group

How does changing the frequency affect the wave speed

Answers

Answer:

Explanation:

Changing the frequency or amplitude of the waves will not change the wave speed, since those are not changes to the properties of the medium.

Answer:

Changing the frequency or amplitude of the waves will not change the wave speed

Explanation:

How much is 1 newton to pound?

Answers

1 newton is equal to approximately 0.225 pounds.

The newton (N) and pound (lb) are both units of force, with the newton being the standard unit in the International System of Units (SI) and the pound being commonly used in the United States and United Kingdom. The conversion between the two units is not straightforward as they are based on different reference points.

However, using the conversion factor of 1 N = 0.225 lb, we can find out that one newton is equivalent to approximately 0.225 pounds. This means that if a force of 1 newton is applied, it would be equivalent to a force of 0.225 pounds.

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10. what are the signs of the charges on the particles in figure 22.46?

Answers

The particles in Figure 22.46 exhibit signs of both positive and negative charges.

In Figure 22.46, the presence of both positive and negative charges can be inferred based on the observed behavior of the particles. The interaction between charged particles can be explained through the principles of electrostatics. When two particles carry the same type of charge, they repel each other, while particles with opposite charges attract each other.

By observing the behavior of the particles in Figure 22.46, we can identify the signs of their charges. For instance, if two particles move away from each other or repel each other, it indicates that they possess the same charge. This behavior is characteristic of particles with either positive or negative charges.

Conversely, if two particles move closer together or attract each other, it suggests that they possess opposite charges. This behavior is indicative of particles with opposing charges, where one carries a positive charge and the other carries a negative charge.

It's important to note that the exact nature of the charges cannot be determined solely based on the behavior of the particles in Figure 22.46. Further information or experimental data would be required to ascertain whether the charges are positive or negative. Nevertheless, the observed repulsion and attraction between the particles provide clear indications of the presence of both positive and negative charges.

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A cheerleader waves her pom-pom in SHM with an amplitude of 18.8 cm and a frequency of 0.900 Hz .
Find the time required to move from the equilibrium position directly to a point a distance 11.2 cmaway.
I'm having an extremely hard time with this, no matter how many times I calculate 6.47, it says it's wrong!

Answers

To find the time required for the cheerleader's pom-pom to move from the equilibrium position to a point a distance of 11.2 cm away, we can use the formula for the period of simple harmonic motion (SHM):

T = 1/f

T = 1 / 0.900 Hz

T ≈ 1.111 s

where T is the period and f is the frequency. In this case, the frequency is given as 0.900 Hz.

Plugging in the values:

T = 1 / 0.900 Hz

Calculating the reciprocal of the frequency:

T ≈ 1.111 s

The period represents the time required for one complete cycle of motion. Since we want to find the time for the pom-pom to move from the equilibrium position to a point 11.2 cm away, we can divide the period by 4, as this corresponds to one-fourth of a complete cycle.

Time required = T / 4

Time required ≈ 1.111 s / 4 ≈ 0.2778 s

Therefore, the time required for the pom-pom to move from the equilibrium position to a point 11.2 cm away is approximately 0.2778 seconds.

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sam says that beta particles are not used to irradiate food because they make it radioactive. Jo says that the reason is that beta particles would not be able to penetrate all the way through think packages of food. Who is correct, Sam or Jo?

Answers

Answer:

Jo

Explanation:

irradiating food doesn't make it radioactive (that's contamination) and beta particles are stopped by aluminium foil or thin metals, so it may not pass through thick packaging (usually gamma is used to irradiate foods as it can pass through the packaging)

find a vector of magnitude 7 in the direction opposite to the direction of ⃗ =⟨8,−5,−6⟩.

Answers

Vector = ⟨-8, 5, 6⟩ with magnitude 7 is in the direction opposite to the vector ⃗ =⟨8,−5,−6⟩.

To find a vector in the opposite direction of a given vector, we change the sign of each component of the vector. Thus, to find a vector in the opposite direction of ⃗ =⟨8,−5,−6⟩, we change the sign of each component to get the vector ⟨-8, 5, 6⟩.

Now, we need to find a vector of magnitude 7 in this direction. We can scale the vector by dividing each component by its magnitude and then multiplying by 7. Thus, the vector of magnitude 7 in the opposite direction of ⃗ =⟨8,−5,−6⟩ is:

7⟨-8/7, 5/7, 6/7⟩ = ⟨-8, 5, 6⟩

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21.04 kg object is accelerating at the rate of 13.87 m/s^2 what is the net force acting on the object

Answers

21.04 kg object is accelerating at the rate of 13.87 m/s² the net force acting on the object is 291.82 N.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Force = mass . acceleration

Force = (21.04) . (13.87)

Force = 291.82 N

21.04 kg object is accelerating at the rate of 13.87 m/s² the net force acting on the object is 291.82 N.

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If a new ninth planet were discovered in our solar system that orbited the Sun in an opposite direction than the other eight planets, astronomers would most likely assume that ___.

Answers

For this ninth planet, astronomers would most likely assume that: it originated in another star system and was gravitationally captured.

What is a solar system?

A solar system is a collection of both outer and inner planetary (astronomical) bodies alongside the Moon that usually orbit around the Sun, in slightly elliptical orbits.  

The planets in the solar system.

Based on astronomical science, there are nine (9) planets in the solar system and these are;

MercuryVenusEarthMarsJupiterUranusNeptunePlutoSaturn

Astronomers would most likely assume that a planet that orbited the Sun in an opposite direction in contrast to the other planets, originated in another star system and was gravitationally captured.

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Create a flowchart designing a solution to the following problem: Anna has saved $50,000 for a down payment on a house. Your algorithm will ask Anna how much the house she would like to purchase costs (verify that the entered value is at least $10,000 and no more than $1,000,000.) If Annas savings is at least 20% of the house cost, provide a message that tells her that she will not have to pay for mortgage insurance. If, however her savings is less than 20%, but more than 10% provide a message that she can still purchase the home but will have to have the insurance. If unfortunately her savings are 10% or less of the home cost provide a message that she is not eligible to purchase the home and tell her the maximum home price she can afford. a) Why does some of the seedlings of Tropical Forest surviveafter harvesting operations? please please help its due today A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. 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PLS SOMEONE ANSWER THIS ITS EASY (MCQ)!!! Look at picture for question. a commercial building valued at $200,000 is insured for $140,000 with an 80% coinsurance requirement. after the building is totally destroyed, incurring debris removal expenses of $10,000, how much will the building and personal property coverage form pay? The ____ Enlightment movement emphasized science and reason to improve society.a. 18th centuryC. 19th centuryb. 16th centuryd. 17th century The Eurodollar Futures Contract (for 3-month LIBOR) for settlement on these dates is currently trading at these values:3/1/23 98.406/1/23 98.209/1/23 98.1012/1/23 97.953/1/24 97.856/1/24 97.759/1/24 97.6012/1/24 96.30Today is Dec. 1, 2022 and 3-month LIBOR is quoted at 1.50%. You want to engage in a 2-year swap of fixed-rate payments for floating rate payments where the floating rate payments are based on 3-month LIBOR. You are the fixed-rate receiver. The notional principal is $10 million. Please show your work in Excel and round your answers to the nearest dollar.a. How much money are you scheduled to pay on March 1, 2023 (gross, not net of what you will receive)? ______________________b. What is the present value of your eight expected payments (total PV of all eight)? _____________________c. What is the swap rate which will cause the present value of the fixed rate payments to be equal to the present value of the expected variable rate payments? Please express this as a percentage and carry out four decimal places (i.e. 1.2345%). _____________________After one year (on 12/1/23), the current LIBOR rate is 1.0% and the Eurodollar Futures Contract prices look like this:3/1/24 98.856/1/24 98.509/1/24 98.3012/1/24 98.00d. What is the current value (as of 12/1/23) of this swap from your perspective? If a mineral lacks planes along which it may cleave, what will occur? Multiple Choice The mineral will not break. The mineral will fracture in an irregular pattern. The mineral will still cleave, but it will only occur along one plane. The mineral will fracture evenly along predictable planes. Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).-5 with multiplicity 35 with multiplicity 3-9 with multiplicity 29 with multiplicity 2-1 with multiplicity 0-1 with multiplicity 1N1 with multiplicity owith multinlicity 1 FILL IN THE BLANK. nicotine, cocaine, and ritalin can cause ___ . () the eye to become less responsive () hallucinations () overactive eye movement submit answer .QUESTION 4. a) Use the fixed point iteration method to find the root of 24 +5.2 - 2 in the interval [0, 1] to 5 decimal places. Start with 20 = 0.4. b) Use Newton's method to find 5 to 6 decimal places. Start with zo = 1.8. c) Consider the difference equation Int1 = sin(Tin) on the range 0 < In < 1. Use Taylor's theorem to find an equilibrium point. Can you show that there's a second equilibrium point, assuming is large enough? (Note: you won't be able to find it explicitly, but it's still possible to show that there has to be one.) BONUS: Draw separate cobwebbing diagrams for = 0.2, 0.5, 0.8 and 0.9, using a starting point of zo = 0.5. Describe what happens as moves between successive values. A family has two cars. During one particular week, the first car consumed 15 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1525miles, and the sum of their fuel efficiencies was 75 miles per gallon. What were the fuel efficiencies of each of the cars that week? A flaw of the theories put forth by taylor, spaulding, and fayol is that they assumed. 2) A circle has a diameter of 10 feet. What is the area of the circle, in square feet?