Explain why a Merry-Go-Round and a Ferris Wheel have a constant acceleration when they are moving.
Answer must be at least two sentences and contain words such as velocity and acceleration.

Answers

Answer 1

Explanation:What is centripetal acceleration?

Can an object accelerate if it's moving with constant speed? Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

Acceleration is a change in velocity, either in its magnitude—i.e., speed—or in its direction, or both. In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant. You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion. What you notice is a sideways acceleration because you and the car are changing direction. The sharper the curve and the greater your speed, the more noticeable this acceleration will become. In this section we'll examine the direction and magnitude of that acceleration.

The figure below shows an object moving in a circular path at constant speed. The direction of the instantaneous velocity is shown at two points along the path. Acceleration is in the direction of the change in velocity, which points directly toward the center of rotation—the center of the circular path. This direction is shown with the vector diagram in the figure. We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration

a

c

a

c

a, start subscript, c, end subscript; centripetal means “toward the center” or “center seeking”.


Related Questions

You apply a force of 54 N to a car jack in order to change a tire. Each "Crank" of the jack is exerted over a distance of
64 cm. What is the work input on the car jack? (Hint: 1m = 100 cm)
Step # 1
Step #2
Step #3

Answers

Explanation:

Work = force × distance

W = (54 N) (0.64 m)

W ≈ 35 J

what activities belong at the top of the physical activity pyramid

Answers

Answer: Cut down on watching tv, sitting down for more than 30 minutes at a time, and playing video games.

Explanation:

A frisbee is flying through the air. Which forces are acting on it (choose 3)​

Answers

Answer:

The force acting on it is lift

Can someone explain what ice jacking is and how it can cause structures to fail?

Answers

Answer: Rock slope failures can occur due to the presence of water; ice jacking occurs when water between joint or fissure surfaces freezes and expands. This type of failure is progressive, resulting in incremental weakening over time, often requiring several cycles before failure. Ice jacking is one form of rock erosion.

What are some potential sources of error in the
experiment that is described in the article?

Answers

Answer: experimental design

the accuracy of data-collecting devices

human error

bias in selecting samples

incorrect data analysis

incorrect treatment of the control group

Explanation:

Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.

What are Experimental Error?

The discrepancy between a measured value and its true value is known as experimental error. In other words, the error or inaccuracies are what prevent us from perceiving a measurement that is 100 percent accurate.

Every measurement has some degree of experimental error, which is fairly common. Due to the widespread belief that some degree of error is inherent to the scientific method, it is not typically seen as a "mistake" in the classic sense.

However, scientists can reduce error and obtain results that are more accurate by embracing and comprehending the ways that experimental error can affect any scientific operation.

The  potential sources of error in experiment are Instrumental, environmental, procedural, and human errors.

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10) Um viajante, ao desembarcar no aeroporto de Londres, observou que o valor da temperatura do ambiente na escala Fahrenheit é o quíntuplo do valor da temperatura na escala Celsius. Calcule essa temperatura

Answers

Answer:

The observed temperature was 10º Celsius or 50º Fahrenheit.

Explanation:

The traveler observed that the temperature in Fahrenheit is five times the value of the temperature in Celsius, therefore:

[tex]F = 5*C[/tex]

A Fahrenheit temperature relates to a Celsius one by the following expression:

[tex]F = \frac{9}{5}*C + 32[/tex]

Using the second expression on the first, we can solve for the temperature in Celsius, this is done below:

[tex]\frac{9}{5}*C + 32 = 5*C\\\frac{9}{5}*C - 5*C = -32\\\frac{9*C - 25*C}{5} = -32\\\frac{-16*C}{5} = -32\\-16*C = -32*5\\-16*C = -160\\C = \frac{-160}{-16} = 10\º\text{C}\\F = 5*C = 5*10 = 50\º\text{F}[/tex]

The observed temperature was 10º Celsius or 50º Fahrenheit.


In a circuit, energy is transferred to a charge.
Where is this energy transferred from?

Answers

Answer:

Electric current.

Explanation:

The energy result from electric current resulting from potential differences between terminals which form an Electric circuit. This energy could come from different sources like chemical, wind, light

An electric circuit is one where there is movement of electrons;this electrons acquire charge which is energy. The electrons flow due to a potential difference; you have heard water flows from a higher position to a lower one freely. The highest height is said to be at higher potential and the lower point low potential.

So it's the same with electrons.

The formular for energy on charge is Q= I × t where I is electric current and t is time.

calculate the pressure exerted by a man having mass 50 kg standing on one feet having area 500cm2​

Answers

Answer:

9800 Pa

Explanation:

Data: pressure-?

Force- mass ×acceleration

= 50× 9.8m/s^2

=490N

Area= 500cm^2=0.05m^2

pressure= force/ area

p=F/A

P= (490N)/( 0.05m^2)

=9800 Pa

Which equations could be used as is, or rearranged to calculate for frequency of a wave?

Answers

Answer:

frequency = wavelength over speed. f. speed = wavelength x frequency

Explanation:

it is on google

Answer:wavelength=speed/frequency

Explanation:

Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.​

Answers

Answer:

A ( Jack did twice as much work as Jill

Explanation:

What is the effect of gravity on a falling object?​

Answers

Answer:

When objects fall to the ground, gravity causes them to accelerate.

Which statements best describe X-rays?

Answers

Answer:x rays are electromagnetic waves.

x rays are transverse waves

x rays travel at the speed of light

Explanation:

Why would you expect sodium (Na) to react strongly with chlorine?

Answers

Answer:

Na is a alkaline metal, it can very easy give an electron, and form positive ion.  Cl is a very strong non-metal(halogen),  and it is able to take electron, and form negative ion. Positive and negative ion can attract to each other and form ionic bond.

Define the term displacement. Is it a vector quantity or a scalar quantity?

Answers

Explanation:

The difference between final and initial position of an object is called its displacement. Its formula is given by :

[tex]\text{displacement}=\text{final position}-\text{initial position}[/tex]

It is equal to the shortest path covered by it. It is a vector quantity. It has both magnitude and direction.


The ratio of the magnitude of the frictional force to the magnitude of the force
holding two surfaces together is called the and its UNIT is

Answers

Answer: the coefficient of friction

Explanation:

The coefficient of friction (μ (mu)) has no unit because it is a ratio of forces so the units of N (newtons, which are the units of force) cancel out.

The magnitude of frictional force is [tex]\mu[/tex]N and the magnitude of the force is N. So if we take the ratio of it we will get  [tex]\mu[/tex] In result.

What is the Coefficient of friction?

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, the Greek letter is used to symbolize it, i.e., [tex]\mu[/tex]. In mathematical terms, is equal to F/N, where F represents frictional force and N represents normal force. Since both F and N are measured in units of force, the coefficient of friction is a dimensional less quantity (such as newtons or pounds).

For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. In kinetic friction, the frictional force resists the motion of the object.

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What is the centripetal force of an object undergoing uniform circular motion when its radius is doubled and its speed remains constant?
A.
the same as before
B.
twice as great as before
C.
half as great as before
D.
four times as great as before

Answers

Answer:

C

Explanation:

Now the centripetal force is that force that keeps the object on course along the circle;

This is expressed mathematically as ;

F = mv^2/ r

Where F - centripetal force

m- mass of the object

v- velocity of the object

r- raduis

Note from the expression as r increases F decreases so if v and the mass is constant if r doubles F will reduce by half.

Answer:

C. half as great as before

Explanation:

A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be





















Answers

Answer:

Final Velocity = √(eV/m)

Explanation:

The Workdone, W, in accelerating a charge, 2e, through a potential difference, V is given as a product of the charge and the potential difference

W = (2e) × V = 2eV

And this work is equal to change in kinetic energy

W = Δ(kinetic energy) = ΔK.E

But since the charge starts from rest, initial velocity = 0 and initial kinetic energy = 0

ΔK.E = ½ × (mass) × (final velocity)²

(Velocity)² = (2×ΔK.E)/(mass)

Velocity = √[(2×ΔK.E)/(mass)]

ΔK.E = W = 2eV

mass = 4m

Final Velocity = √[(2×W)/(4m)]

Final Velocity = √[(2×2eV)/4m]

Final Velocity = √(4eV/4m)

Final Velocity = √(eV/m)

Hope this Helps!!!

A box that has a mass of 80 kg slides down a ramp with a 30 degree angle. The free-body diagram shows the forces acting on the box. A block is shown on a 30-degree incline with a free body diagram drawn on the block with 2 force vectors. The first vector is pointing away from the surface of the incline and perpendicular to the surface, labeled F Subscript N Baseline. The second vector is pointing straight down to the center of the earth, labeled F Subscript g Baseline. Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth? 0.5 m/s2 4.9 m/s2 8.5 m/s2 9.8 m/s2


HOW TO DO IT

Answers

Answer:

B. 4.9 m/[tex]s^{2}[/tex]

Explanation:

The parallel vector, [tex]F_{g}[/tex], make the box to accelerate down the plane due to the presence of an unbalanced force.

The perpendicular component of the force will balance the normal force because the box can not accelerate perpendicularly to the plane.

i.e  [tex]F_{N}[/tex] = [tex]F_{g}[/tex]

Since the box slides down the ramp, neglecting friction and air resistance;

[tex]F_{g}[/tex] = ma

mg Sinθ = ma

But; m = 80 kg, θ = [tex]30^{0}[/tex], g = 9.8 m/[tex]s^{2}[/tex]

80 × 9.8 × Sin [tex]30^{0}[/tex] = 80 × a

784 × 0.5 = 80 a

  392 = 80 a

a = [tex]\frac{392}{80}[/tex]

   =  4.9

Thus, the box accelerates down the ramp at 4.9 m/[tex]s^{2}[/tex].

Answer:

b

Explanation:

b

Q2 : Water waves in a shallow dish are 6cm long. At one point water moves up and down at a rate of 4.8 oscillation per second. What is the speed of water waves? What is the period of water waves? What is the frequency of water waves?

Answers

Answer:

v = 0.3 ms⁻¹

Frequency = 4.8 Hz

T = 0.21 sec

Explanation:

The rate of oscillation is 4.8 oscillation/second

Let's see frequency's definition " no. of vibration/oscillation per unit time"

So,

Frequency = 4.8 Hz

Now

Time period is the reciprocal of frequency

T = 1/f

T = 1/4.8

T = 0.21 sec

Now

Using formula

v = f λ

f = 4.8 Hz , λ = 6 cm (But we need to convert it in a standard form)

So, λ = 0.06 m

Putting in formula

v = (4.8)(0.06)

v = 0.3 ms⁻¹

Investigator Robbins is called to the scene of a robbery. The officer on the scene thinks that the suspect entered the home from the garage. As Investigator Robbins checks over the house, he does not find any evidence of forced entry. He cannot find any physical evidence near the garage door at all. There is a window open above the kitchen sink and footprints in the mud under the window outside. Based on his examination, what conclusion might Investigator Robbins make?


1. The officer was correct; the garage was the point of entry.

2. There is no evidence to indicate that anyone entered the home.

3. The officer's conclusion was mistaken, and a suspect may have entered through the window.

4. The garage was the point of entry, but the window was the escape route.

Answers

Answer:

3

Explanation:

Since the evidence found points to the window on investigation remember there was a foot print below the window as well as the window been opened.

For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 24N acts on a certain object, the acceleration of the object is 3m/s^2. If the acceleration of the object becomes 10m/s^2, what is the force

Answers

Answer:

80 N

Explanation:

From the question,

F = ma .......................... Equation 1

Where F = Force, m = mass of the object, a = acceleration of the object.

make m the subject of the equation

m = F/a.................... Equation 2

Given: F = 24 N, a = 3 m/s²

Substitute into equation 2

m = 24/3

m = 8 kg.

If the acceleration of the object becomes 10 m/s²,

Substitute into equation 1

F = 10(8)

F = 80 N.

Drag each tile to the correct box. Arrange the steps in order to describe what happens to a gas when it cools. The particles of gas move slower. The gas changes to a liquid. The gas loses thermal energy. The space between the gas particles decreases. ↓ ↓ ↓

Answers

Answer:

Ok, as the gas starts to cool down, the kinetic energy of the particles starts to decrease, so the first thing that happens is:

"the gas loses thermal energy" (as the gas cools down, the temperature decreases, so it loses thermal energy)

Now, the kinetic energy must decrease, so now:

"the particles of gas move slower".

Then, as the particles start to move slower, they start to get closer to eachother, then we have:

"The space between the gas particles decreases."

As the particles start to get close to eachother, the density of the gas starts to increase, until a point where we get to the condensation point, here we have a change of phase and the gas changes to a liquid, so here we have:

"The gas changes to a liquid."

Answer:

a

Explanation:

A soccer player kicks a ball with an initial velocity of 10m/s at an angle of 30 degrees above the horizontal. Find the; a) magnitude of the horizontal component b) Vertical component c) The magnitude of the vector.

Answers

Answer:

a) V₀ₓ = 8.66 m/s

b) V₀y = 5 m/s

c) Magnitude of velocity vector = 10 m/s

Explanation:

a)

The magnitude of the horizontal component of launch velocity can easily be given by the following formula:

V₀ₓ = V₀ Cos θ

where,

V₀ₓ = horizontal component of velocity = ?

V₀ = Launch Velocity = 10 m/s

θ = Launch Angle of the ball with the horizontal = 30°

Therefore,

V₀ₓ = (10 m/s)(Cos 30°)

V₀ₓ = 8.66 m/s

b)

The magnitude of the vertical component of launch velocity can easily be given by the following formula:

V₀y = V₀ Sin θ

where,

V₀y = vertical component of velocity = ?

V₀ = Launch Velocity = 10 m/s

θ = Launch Angle of the ball with the horizontal = 30°

Therefore,

V₀y = (10 m/s)(Sin 30°)

V₀y = 5 m/s

c)

The magnitude of the velocity vector will be equal to the resultant velocity or net velocity, which is 10 m/s.

Magnitude of Velocity Vector = 10 m/s

A German scientist, George Ohm, discovered the relationship between current, voltage, and resistance. This became known as Ohm's law. According to Ohm’s law, if V is voltage, I is current, and R is resistance, their relationship is expressed by the equation

Answers

Answer:

I=V/R is the formula for ohm's law .

Explanation:  I=V/R is the formula for ohm's law

Answer:

I= V/R

Explanation:

The equation, i = v/r, tells us that the current, i, flowing through a circuit is directly proportional to the voltage, v, and inversely proportional to the resistance, r. (Study.com)

Please help! 100 points!
What are some ways that the nitrogen cycle overlaps with or influences the oxygen and carbon cycles?


Are any of these interactions between the cycles positive?


Are any negative?


What about when the nitrogen cycle is thrown off balance by the Haber-Bosch process and others like it?


How can that influence the oxygen and carbon cycles?


Are there other cycles involved that have not been mentioned in this question?


What does this discussion suggest about the nature of the Earth as one large system?

Answers

Answer:

1.Nitrification happens when soil organisms change over ammonium into nitrate. Much of the cover between the carbon cycle and the nitrogen cycle happens within the soil, in forms conducted by soil organisms. Organisms break down supplements, construct modern compounds for their possess development, and inevitably pass on.

The second question im not sure sorry- the positive and negative one ;(

3. Many human activities have a significant impact on the nitrogen cycle. Burning fossil fuels, application of nitrogen-based fertilizers, and other activities can dramatically increase the amount of biologically available nitrogen in an ecosystem. As nitrogen makes up 78% of the atmosphere, there is no shortage of it – it just isn't in a form plants and animals can use.

4. Carbon makes its way through living things as carbon-based compounds, like vitality particles, fats and proteins, in the long run cycling its way back into the environment. Nitrogen is basically found within the air as well and enters the environments as supplements for plants. Water, nitrogen and carbon cycles. Carbon moves from the air and back by means of creatures and plants. Nitrogen moves from the environment and back by means of living beings. Water moves on, over, or underneath the surface of the Soil.

5. Carbon cycle, Nitrogen cycle, Nutrient cycle, Oxygen cycle, Phosphorus cycle, Sulfur cycle, Rock cycle, Water cycle.

6. Wind, water, and ice disintegrate and shape the arrive. Volcanic movement and seismic tremors change the scene in a sensational and frequently savage way. And on a much longer timescale, the development of earth's plates gradually reconfigures seas and landmasses. Each one of these forms plays a part within the Cold and Antarctica.

People affect the physical environment in numerous ways: overpopulation, contamination, burning fossil powers, and deforestation. Changes like these have activated climate alter, soil disintegration, destitute discuss quality, and undrinkable water. Earth's surface is the as it were territory accessible to the human race. Understanding the forms by which that environment has been made and persistently changed is critical to decide the causes of natural degradation.

Un gas se encuentra a una presión constante y a una temperatura de 30°C. Si la temperatura aumenta a 45°C, su presión varía a 6 atm. ¿Cuál era la presión inicial del gas? Transforma los °C en °K.

Answers

Answer:

P1 = 5.76 atm

Explanation:

To find the initial pressure of the gas you use the equation for ideal gases, for both temperatures and pressures:

[tex]P_1V=nRT_1\\\\P_2V=nRT_2\\\\[/tex]

T1: initial temperature = 30°C = 303.15K

T2: final temperature = 45°C = 318.15K

P1: initial pressure = ?

P2: final pressure = 6atm

n: number of moles

R: ideal gas constant

The number of moles and R are constant, you can dive the first equation into the second and solve for P1:

[tex]\frac{P_1V}{P_2V}=\frac{nRT_1}{nRT_2}\\\\\frac{P_1}{P_2}=\frac{T_1}{T_2}[/tex]

[tex]P_1=\frac{T_1P_2}{T_2}[/tex]

Finally, you replace the values of T1, P2 and T2:

[tex]P_1=\frac{(303.15K)(6atm)}{318.15K}=5.71atm[/tex]

hence, the initial pressure of the gas was 5.71 atm

Which of these objects has the largest volume?

Answers

Answer:

The balloon

Explanation:

Since there are 100 cm or 1000 mm in a meter, you can rewrite the dimensions in the following way:

A cube of metal with a volume of 10,000 mm^3

A spherical balloon with a volume of 50,000,000 mm^3

A sample of water with a volume of 1,000 mm^3

Therefore, the balloon clearly has the most volume. Hope this helps!

Answer:

spherical baloon

Explanation:

change all the measurements to be one I.e convert the m³ and mm³ to cm³

2)1m³=1000000cm³ what about 0.05m³

balloon =50000cm³

3)1cm3=1000mm³

water=1cm³

1)cube=10cm³ so which is the greatest

=spherical baloon

An object is placed at 1.5 m from a convex lens with a focal length of 1.0 m.
a. Use the thin lens equation to determine the image distance from the lens.
b. If the object height is 2.0 m, what is the image height?
c. Is the image real or virtual? Is the image inverted or upright?​

Answers

A. Use the thin lens equation to determine the image distance from the lens. Is the correct answer because I have no idea why

a linear function has the same y-intercept as x + 4y equals 16 and it's graph contains the point (4,5). Find the slope of the linear function. ​

Answers

Answer:  [tex]\bold{\text{Slope (m)}=\dfrac{1}{4}}[/tex]

Explanation:

A linear equation is of the form: y = mx + b   where

m is the slopeb is the y-intercept (where it crosses the y-axis)

x + 4y = 16

     4y = -x + 16

       [tex]y = -\dfrac{1}{4}x+\dfrac{16}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+4[/tex]

The y-intercept (b) = 4

Next, find the slope given point (4, 5) and b = 4

[tex]y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}[/tex]

A piano with a mass of 130 kg is lifted 10m above the ground in 5 s by a crane.
What is the power used by the crane

Answers

[tex]power = 2548 \: watt \\ solution \\ mass = 130 \: kg \\ distance = 10m \\ time = 5 \: sec \\ power = \frac{w}{t} \\ \: \: \: \: \: \: \: \: \: \: = \frac{f \times d}{t} \\ \: \: \: \: \: \: \: \: = \: \frac{m \times g \times d}{t} \\ \: \: \: \: \: \: \: \: \: = \frac{130 \times 9.8 \times 10}{5} \\ \: \: \: \: \: \: \: \: = \frac{12740}{5} \\ \: \: \: \: \: = 2548 \: watt \\ hope \: it \: helps[/tex]

The 2548 watts should be the power that is used by the crane according to the formula
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Identify three issues/problems in France from 1787-1789. In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs. Select the correct answer.Where should the RUN-ON SENTENCE be divided?He wasn't afraid of high places 2 or elevators ? he would even like to sky-dive!A.1B.2C.3 What are the conditions for evaporation? I need help with this question please Suppose that a researcher is planning a new study on hemoglobin levels amongst women under 25 years old. Previous research suggest that the standard deviation of hemoglobin is 0.7 g/dl. In the new study the research wants to have the standard error for the sample mean to be no more than 0.05 g/dl. Find the required sample size for the new study. a toy car can go 3 mph. How long would it take to go 4 mph Help please!!! Everything is in the picture. Accounting Cycle Review 15 a-eCullumber Corporations trial balance at December 31, 2020, is presented below. 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The salvage value is $5,200.7.The equipment is being depreciated using the straight-line method over 10 years. The salvage value is $4,100.8.The unearned rent was collected on October 1, 2020. It was receipt of 4 months rent in advance (October 1, 2020 through January 31, 2021).9.The 10% bonds payable pay interest every January 1. The interest for the 12 months ended December 31, 2020, has not been paid or recorded.(Ignore income taxes.) What are two potential issues that may occur when there is a significant differencein sales tax rates between two jurisdictions or cities? Explain each. Suppose a countys population can be approximated with the function () = 34(1.00804) where is the number of years since 2000, and is measured in millions of citizens. 11. The behavior of the landmasses over geological timeillustrates the theory of Rebecca Pearson is a widow and needs to take care of the expenses in her household. Her budget is below. Find her net monthly cash flow. (Assume 1 month = 4 weeks)IncomeExpensesSalary: $2300/monthRent: $1090/monthGroceries: $200/weekUtilities: $125/monthCar Insurance: $525 semiannuallyGasoline: $25/weekMiscellaneous: $200/monthPhone: $50/month If a playwright chooses to reinterpret a traditional story, she will most likely? Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many timesbigger will the volume of the new box be?2358 In the story of Icarus, whatpart of the plot is Icarus'father making the wings fortheir escape?A. ExpositionB. Falling ActionC. Rising Action Is rogelio a common noun or proper noun? Sidney made $35 less than four times Caseys weekly salary. If x represents Caseys weekly salary, write an expression for Sidneys weekly salary. Account A pays simple interest. Future ValueA = Principal + Interest = Principal + [(Principal x Interest Rate) x Investment Period] = $2,000 + [($2,000 x 996) x 3 years]Future Value of Account X Note: Account X pays compound interest. Future Valuex = Present Value x Interest Rate Factor = Present Valuex(1 +Interest Rate)n years = $2,000 x (1 + 0.09)3 To find the interest rate factor, you can use three different ways, including multiplying it out: Interest Factor(1 0.09) x (1 0.09) x (1 0.09)1.2950 Or using exponents and calculating it directly: Interest Factor(10.09)31.2950 Or looking up the value in the Future Value Interest Factor Table: Interest Factors Periods 6% 7% 8% 9% 10 111 1.0600 1.0700 1.0800 1.0900 1.1000 1.1100 2 1.1236 1.1449 1.1664 1.1881 1.2100 1.2321 3 1.1910 1.2250 1.2597 1.2950 1.3310 1.3676 4 1.2625 1.3108 1.3605 1.4116 1.4641 1.5181 The fourth alternative for solving the equations is to let a financial calculator perform the calculation. This requires that you know how your calculator functions and how to enter the following variables: P/ Y N I / YR PV FV1 3 9 2,000 P/Y indicates the number of compounding periods per year, N is the number of years, I is the interest rate, PV is present value, and FV is future value.Difference in Future Values Difference = FVx_FVA Choose the transitional word which best fits this pair of sentences,A glow began to show in the eastern sky.the brilliance of the sun could be seen on the horizon.A.HoweverB.ThereforeC. EventuallyD.Since