tarzan has a mass of 73 kg. he swings from a 26.1 m vine. at the lowest point in his swing, tarzan is moving at 3.65 m/s. what is the tension in the vine at the lowest point in the swing? g

Answers

Answer 1

Tarzan weighs 73 kg. From a 26.1 m vine, he swings. Tarzan is travelling at 3.65 m/s when he is at his lowest point in his swing. The vine is under 2635.3 kg-m/s^2 of tension at the swing's lowest point.

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire. Every physical object in contact with another one applies some force to that object. For items that are hung, the tension is equal to the gravitational acceleration times the mass of the object.

Here m=73kg

acc (a) = 26.1 m

g=10

d= 3.65 m/s

Tension t = mg + ma.

Tension t = m(g + a).

t = m(g + a)

t= 73(10+26.1)

t= 73(36.1)

t= 2635.3 kg-m/s^2

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Related Questions

planet a exerts a force on planet b. what can be said about the magnitude and direction of the gravitational force planet b exerts on planet a?

Answers

Planet A exerts a force on planet B, the magnitude and direction of the gravitational force planet B exerts on planet A the gravitational force exerted by planet B on planet A is the same as the magnitude of the gravitational force exerted by planet A on planet B

Newton's third law states that if object A exerts a force on object B, then object B exerts an equal and opposite force on object A. Hence, if planet A exerts a gravitational force on planet B, then planet B exerts an equal and opposite gravitational force on planet A.The magnitude of the gravitational force exerted by planet B on planet A is the same as the magnitude of the gravitational force exerted by planet A on planet B, this is according to the law of universal gravitation,

This law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The direction of the gravitational force exerted by planet B on planet A is towards planet B's center, just as the direction of the gravitational force exerted by planet A on planet B is towards planet A's center. Therefore, we can say that the magnitude and direction of the gravitational force planet B exerts on planet A is equal and opposite to the gravitational force planet A exerts on planet B

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When dribbling you should?
a. Use both feet.

b.Use frequent small touches of the ball.

C.Protect the ball with your body.

D. All of the above.

Answers

D all of the above (:

Which of the following is an example of a dry lubricant? oil grease graphite petroleum

ANSWER ASAP WILL GIVE BRAINLIEST!

Answers

Answer:

Dry lubricants or solid lubricants are materials that, despite being in the solid phase, are able to reduce friction between two surfaces sliding against each other without the need for a liquid oil medium.

Explanation:

Answer:

Your answer is graphite :) Have a nice day

Explanation:

describe the behavior of magnets

Answers

They have a north and South Pole .The opposite poles attract to each other ,the same poles repel from each other.

easy points!! only 1 question!

please: only answer if you really know

easy points!! only 1 question!please: only answer if you really know

Answers

Answer:

b i think

Explanation:

Answer  

The  answer would be B because the truck has more mass than the car therefore it would take longer for it to stop and that is momentum.

Explanation:

Children on the autism spectrum are at risk for nutritional deficiencies because?

Answers

Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.

I hope this helps!

Who discovered that electrons move around the nucleus billions of times in one second?

Answers

The discovery that electrons move around the nucleus billions of times in one second can be attributed to multiple scientists. However, the most notable contribution came from Niels Bohr.

In 1913, Bohr proposed his atomic model, which introduced the concept of quantized energy levels for electrons. According to this model, electrons orbit the nucleus in specific, well-defined energy levels or shells.

These energy levels are characterized by their respective energy values, and electrons can transition between them by either absorbing or emitting energy. Bohr's model successfully explained phenomena like atomic spectra, and his work laid the foundation for our current understanding of atomic structure.

Overall, Bohr's model revealed the dynamic nature of electrons in their orbits and their rapid motion around the nucleus.

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When you heat water on a stove, how does its energy change?

Answers

Answer:

tthe body of what it is supplied in its temperature rises

Two forces of magnitude 10n and 20n acting at an angle of 30 degree. what will be the x component of their resultant force?

Answers

The resultant of the forces is 29 N. Option D

What is the resultant force?

The resultant force is the force that acts in a given direction. Now we have two forces as enumerated in the question.

Thus;

Resultant = √(10)^2 + (20)^2 - [2 * 10 * 20 * cos (60 - 30))

Resultant = 29 N

Thus, the resultant of the forces is 29 N.

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Missing parts;

Two forces of magnitude 10N and 20N act on a body in directions making angles 30° and 60° respectively with x-axis what is the resultant force

A.17N

B. 19N

C. 23N

D. 29N

E. 37N​

In the Vector Addition Lab, the following data was collected for determining the displacement from the door of the Physics classroom to another location in the building: 2 m, West; 14.0 m, South; 25.0 m, East; 11.0 m, North; and 2 m, West. The magnitude of the resultant displacement from the physics classroom to the assigned location is closest to ___ meters. (Round to the nearest integer.)

Answers

Answer:

21 m

Explanation:

Since the displacement from the door is 2 m West, we have our vector as -2i. The vector representing 14.0 m South is -14.0j. The vector representing 25.0 m East is 25.0i. The vector representing 11.0 m North is 11.0j. And, the vector representing 2.0 m West is -2.0i.

So, to get our position vector at the other location, we add all the vectors together.

So, r = -2i + (-14.0j) + 25.0i + 11.0j - 2i

= -4i + 25.0i - 14.0j + 11.0j

= 21.0i -3j m

Now, if we assume the position vector for the door is at the origin, we have r₀ = 0i + 0j m

So, our displacement from the door is r - r₀ = 21.0i - 3.0j - (0i + 0j) =  21.0i - 3.0j

So, the magnitude of the resultant displacement |r - r₀| = √(21.0² + 3.0²)

= 3.0√(7.0² + 1)

= 3.0√(49 + 1)

= 3.0√50

= 3.0 × 7.0711

= 21.2

≅ 21 m to the nearest integer

A runner with a mass of 75 kg is running at a speed of 2 m/s. What’s the kinetic energy of the runner? Write the equation and show your math steps. Circle the mass and underline the velocity.

Answers

Answer:

150 J

Explanation:

Kinetic Energy = 1/2 m v ^2

KE = 1/2 ( 75)(2^2) =  150  kg m^2/s^2 =  150 J

Hi I don’t understand question and can really use some help! :D

Hi I dont understand question and can really use some help! :D

Answers

Given

Mass of one of the object is doubled and the distance between the object is doubled.

To find

What happens to the gravitational force

Explanation

The gravitational force is directly proportional to the masses and inversely proportional to the distance between them

Keeping all other parameters constant,

\(F\propto\frac{m}{d^2}\)

So when the mass doubles and the distance doubles we have,

\(\begin{gathered} F^{\prime}\propto\frac{2m}{(2d)^2} \\ \Rightarrow F\propto\frac{m}{2d}=\frac{F}{2} \end{gathered}\)

Conclusion

A. The gravitational force becomes half as great.

an aiplane is traveling at 500 mph for 3.5 hours. how far did the plane travel

Answers

Answer:

1750mile

Explanation:

500/h

3.5h=3.5×500=1750

Not really understanding this, wouldn't mind some help. : )

Not really understanding this, wouldn't mind some help. : )

Answers

Explanation:

Given

Mass (m) = 1200 kg

Acceleration (a) = 3 m/s²

Force (F) = ?

We know

F = m * a

= 1200 * 3

= 3600 Newton.

Therefore the force acting on the car is 3600 Newton.

Hope it will help):)

an uncharged capacitor is connected to the terminals of a 4.0 v battery, and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before.

Answers

The additional charge that flows to the positive plate from the 8 Volts battery is  12 x 10⁻³ Coulomb's.

We have an uncharged capacitor which is charged in two different ways using battery of two different voltages. Firstly, it is connected to the terminals of a 4.0 V battery, and 12 μc of charge flows to the positive plate. Then, the 4.0 V battery is disconnected and replaced with a 8.0 V battery

We have to determine the Additional charge that flows to the Positive plate from this 8 V battery.

What is Capacitance ?

Capacitance is the ability of an object to collect and store energy in the form of an electrical charge. Mathematically -

C = Q/V

According to the question, we have -

Electric potential of battery 1 = V[1] = 4 V

Charge flow from battery 1 to the positive plate = Q[1] = 12 x 10⁻³ C

Electric potential of battery 2 = V[2] = 8 V

Now, using the following relation, we will find Q[2] {Charge flow from battery 2 to the positive plate} →

V[1] / V[2] = Q[1] / Q[2]

Substituting the values -

Q[2] = (12 x 10⁻³ x 8)/4 = 24 x 10⁻³ C

Additional Charge that flowed to the positive plate →

Q[2] - Q[1] = 12 x 10⁻³ Coulomb's

Hence, the additional charge that flows to the positive plate is  \(12\times 10^{-3}\) Coulomb's.

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[ The question given is incomplete, the complete question is -

"An uncharged capacitor is connected to the terminals of a 4.0 v battery,  and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before. How much additional charge flows to the positive plate" ]

define specific heat capacity

Answers

the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).

mapping the electric field worksheet answers determine the magnitude of the coulombic force of attraction between the charge at the center (-2 x 10-5 c) and the numbered charges

Answers

The magnitude of the coulombic force of attraction between a central charge of \(-2 * 10^-^5 C\) and the surrounding numbered charges can be determined by analyzing the electric field.

To determine the magnitude of the coulombic force of attraction, we need to analyze the electric field created by the central charge and its interaction with the surrounding numbered charges. The electric field is a vector quantity that describes the influence a charge exerts on other charges in its vicinity.

The magnitude of the coulombic force of attraction can be determined using Coulomb's law, which states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

First, calculate the electric field at the position of each numbered charge. The electric field at a given point is the force experienced by a positive test charge placed at that point. Once the electric field at each numbered charge is determined, multiply the magnitude of the electric field by the charge of the central charge and the charge of the numbered charge. This will give the magnitude of the force between the central charge and the numbered charge.

By following these steps for each numbered charge and summing up the forces, you can determine the magnitude of the coulombic force of attraction between the central charge and the surrounding numbered charges. Remember to consider the signs of the charges (+ or -) when calculating the force, as opposite charges attract each other while like charges repel.

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PLEASE HELP I NEED THIS FAST
Describe how electric potential energy, kinetic energy, and work change when two charges of opposite sign are placed near each other.

Answers

Answer:

If the charges have the same sign, so that qsqt>0, then the potential energy decreases as the charges separate; if the charges have opposite sign, the potential energy increases from negative infinity.

Explanation:

I hope this answered your question!

Suppose you are in a spacesuit drifting weightless in space some distance away from your spaceship. You have run out of compressed gas for your mini-thruster. Fortunately, you happen to have a bag of baseballs. What can you do to get back to your spaceship?

Please give an answer quickly I have to turn this in today.

Answers

Answer:

v = -\frac{n \ m}{M} \ v'

for the man to return to the ship he must throw the balls in the opposite direction of the ship

Explanation:

For this exercise we can use the conservation of momentum. Let's form a system made up of man and baseballs.

Initial instant. Before throwing the balls

     p₀ = 0

Final moment. After throwing the balls

     \(p_{f}\) = M v + n m v '

where M is the mass of the man, m is the mass of each ball and n is the number of balls , v isthe speed man and v' is the speed ball

     

Since the forces are internal, the momentum of the system is conserved

     p₀ = p_{f}

      0 = M v + n m v ’

      \(v =- \frac{n \ m}{M} \ v'\)

If we analyze this expression, for the man to return to the ship he must throw the balls in the opposite direction of the ship

Freida has an injury in the appendicular region of her body. Which structures could be injured?

A: the elbow or wrist
B: the chest or head
C: the abdomen or pelvis
D: the leg or neck

Answers

It would be A. The elbow or wrist because the appendicular region is limbs such as arms,legs,hands,feet,etc..

Hope this helps

Have a great day/night

Answer:

\(\boxed {\boxed {\sf A. \ The \ elbow \ or \ wrist}}\)

Explanation:

The appendicular region of the body encompasses all the appendages, limbs, and extremities. Some examples include:

Wrist Thigh Foot Ankle Elbow Arm Fingers and toes

On the other hand, the axial region contains the central body parts, such as

Neck HeadChestAbdomen/trunk

This question asks us to identify where Freida's appendicular injury. It cannot involve a body part in the axial region, so the head, neck, chest, and abdomen are not correct. Therefore, we can eliminate choices B (chest and head), C (abdomen), and D (neck), leaving A as the correct answer.

Which of the following objects is NOT accelerating?
Group of answer choices

a bicyclist moving at a constant speed in a straight line

a space shuttle as it is orbiting the Earth

a truck turning a sharp corner

a car going from 5 mph to 10 mph

Answers

Answer:

A Bicycle

Explanation:

A Space shuttle accelerating because the Earth pulls on it through the gravitational force.

A Truck is accelerating because acceleration is necessary for an object to change direction.

A car is accelerating because it is speeding up unexpectedly?????

In 1969, Apollo 11 landed on the Moon. It took four days for the spacecraft to travel from Earth to the Moon. In 2006, New Horizons left Earth and reached Pluto in 2015. Based on this information, what is the most reasonable estimate for a spacecraft to travel from Earth to Mars?

Answers

Answer:

An estimate for the time it will take for a spacecraft to travel from Earth to Mars is approximately 138.8 days

Explanation:

The distance between Earth and the Moon = 684,400 km

The distance between Earth and Mars = 220.58 × 10⁶ km

The distance between Earth and Pluto = 5.2241 × 10⁹ km

The ratio of the distance between Earth and Pluto and the distance between Earth and Mars = (5.2241 × 10⁹ km)/(220.58 × 10⁶ km) ≈ 23.683

It took 2006 to 2015 (9 years) to travel from Earth to Pluto, therefore, it can take approximately (9 years)/(23.683) ≈ 0.38 of a year which is ((9 years)/(23.683)) × 365.2422 ≈ 138.8 days for a spacecraft to travel from Earth to Mars

A car travels for 50mph for 5 hours, then for 30mph for another 3 hours in the same direction. What is the average speed the motorcycle traveled?

Answers

Answer:

42.5mph

Explanation:

The computation of the average speed is shown below:

As we know that

Speed = Distance ÷ Time

ANd, distance = Speed × time

So, the distance would be

= (50 × 5 hours) + (30 × 3)

= 250 + 90

= 340 miles

And, the total time taken is 8 hours

So, the average speed is

= 340 miles ÷ 8 hours

= 42.5mph

A football coach walks 24 meters eastward, then 12 meters westward, then 36 meters eastward, and finally 22 meters westward. What is the magnitude and direction of the displacement?

Answers

Answer:

Magnitude = 26 m

Direction = eastward

Explanation:

Given that a football coach walks 24 meters eastward, then 12 meters westward, then 36 meters eastward, and finally 22 meters westward. What is the magnitude and direction of the displacement?

Let eastward be positive and westward be negative.

Magnitude = 24 - 12 + 36 - 22

Magnitude = 60 - 34

Magnitude = 26

Since the answer is positive, the direction will be eastward.

Therefore,

Magnitude = 26 m

Direction = eastward

Which would be represented by FN on a force diagram?O Northern ForceO Newton ForceO Normal ForceO Negative Force

Answers

ANSWER

Normal force

EXPLANATION

We want to determine what FN would represent on a force diagram.

On a force diagram, FN represents the component of a contact force that acts perpendicular to the surface with which an object makes contact. It is exerted by surfaces and prevents objects from passing through each other.

This force is known as the normal force.

That is the answer.

How much energy (in joules) does a photon of wavelength 757.7 nm have? (Enter your answ 1.23 x 10-4, you would enter 1.23e-4).
What is the frequency (in Hz) of light that has a wavelength of 110.9 nm

Answers

Answer:

E = h ν = h c / λ

E = (6.63E-34 J-s * 3.00E8 m/s) / 757.7E-9 m

E = 2.62E-19 J

Note 1 eV = 1.60E-19 J

ν = c / λ = 3.00E8 / 110.9E-9 = 2.71E15 / sec

How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

Substituting the given values, we get: E = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s)/(757.7 x 10^-9 m)E = 2.61 x 10^-19 JTherefore, the energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. What is the frequency (in Hz) of light that has a wavelength of 110.9 nm  The frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. The frequency of light is given by the formula:f = c/λwhere f is the frequency, c is the speed of light, and λ is the wavelength of the light.

Substituting the given values, we get:f = (3.00 x 10^8 m/s)/(110.9 x 10^-9 m)f = 2.70 x 10^15 Hz Therefore, the frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

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An 8kg mass has a KE of 144j, what is its velocity

Answers

Answer:

6m/s

Explanation:

KE=m*v^2/2

=>v=(2*KE/M)^(1/2)

Which property of metals allows aluminum to be flattened into thin sheets of aluminum foil?

Answers

Answer:Malleability

Explanation:

Explain Thomsons model of an atom


please its aurgent fast​

Answers

Answer:

Thomson's model showed an atom that had a positively charged medium, or space, with negatively charged electrons inside the medium. After its proposal, the model was called a "plum pudding" model because the positive medium was like a pudding, with electrons, or plums, inside.

Based on your measurements, what is the maximum height reached by the puck in trial 6

Answers

Based on the measurements, the maximum height reached by the puck in trial 6 is determined as 5.1 m.

What is the maximum height reached by the puck?

The maximum height reached by the puck is calculated by applying the principle of conservation of energy as shown below;

From the trials, the puck was thrown upwards with initial velocity of 10 m/s and the mass of the puck is given as 400 g.

With these values we can predict the maximum height the puck will reach by applying the principle of conservation of energy.

Potential energy of the puck at maximum height = Kinetic energy of the puck at minimum height

P.E = K.E

mgh = ¹/₂ mv²

h = ¹/₂ (v² / g )

where;

v is the initial velocity of the puckg is acceleration due to gravity

The maximum height reached by the puck is calculated as follows;

h =  ¹/₂ (10² / 9.8 )

h = 5.1 m

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Based on your measurements, what is the maximum height reached by the puck in trial 6
Based on your measurements, what is the maximum height reached by the puck in trial 6
Other Questions
Since the program is static, the code needs to be modifies and rebuilt if we want to change the commands to execute. In this part, we make our program dynamic instead of static.The following requirements should be implemented:1) Source file will be called DynPipe.cpp, executable called dynpipe.2) The piped commands to execute need to be passed as arguments to dynpipe, and not hardcoded.3) The MAX number of argument should not exceed 5 and not less than 2, otherwise print an error message.4) Each argument should be a UNIX/Linux command with its parameters. The first argument will be the first to execute, followed by the second one, etc. We will assume that only valid commands can be used, for simplicity.Example of possible command executions:Program ExecutionShell Equivalentdynpipe "ls -ltr" "grep 3376"ls -ltr | grep 3376dynpipe "ls -ltr" "grep 3376" "grep hi" "wc -l"ls -ltr | grep 3376 | grep hi | wc -ldynpipe "ls -ltr"errorWhat I've done so far is a TwoPipesThreeChildren execution of "ls -ltr | grep 3376 | wc -1" which is static. In the code below, 3 child processes execute the 3 commands, while the parent does nothing.#include #include #include #include #include #include int main(int argc, char **argv) {int status;int childpid1;int childpid2;int childpid3;char *cat_args[] = {(char *)"ls",(char *)"-ltr", NULL};char *grep_args[] = {(char *)"grep",(char *)"3376", NULL};char *wc_args[] = {(char *)"wc", (char *)"-l", NULL};// create two pipes to send the output of "ls" process to// "grep" process and "wc" processint pipes1[2];int pipes2[2];pipe(pipes1);pipe(pipes2);//for the first child (to execute cat)if( (childpid1 = fork() ) == -1) {perror( "Error creating a child1 process." );exit(1);}//for the second childif( (childpid2 = fork() )== -1) {perror( "Error creating child2 process." );exit(1);}//for the third childif( (childpid3 = fork() ) == -1) {perror( "Error creating child3 process." );exit(1);}//firstif( childpid1 == 0 ) {//replace cat's stdout with write part of 1st pipedup2(pipes1[1], 1);//close all pipes (very important!); end we're using was safely//copiedclose(pipes1[0]);close(pipes1[1]);execvp(*cat_args, cat_args);exit(0);}//secondelse if ( childpid2 == 0 ) {//replaces grep's stdin with read enddup2(pipes1[0], 0);close(pipes1[1]);close(pipes1[0]);//replaces grep's stdout with write enddup2(pipes2[1],1);close(pipes2[0]);close(pipes2[1]);execvp(*grep_args, grep_args);exit(0);}//thirdelse if( childpid3 == 0 ) {//replaces wc'd stdin with read enddup2(pipes2[0], 0);close(pipes1[0]);close(pipes1[1]);close(pipes2[0]);close(pipes2[1]);execvp(*wc_args, wc_args);}//parentelse {}return(0);} On September 22, 2021, the market value of the investments contained in the Martindale Balanced Fund, a mutual fund, was $39,400,000, Liabilities for thefund were $3,940,000.If the fund had 1,380,000 shares outstanding, calculate the net asset value per share. 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What % of people surveyedwere 6-10 and 21-25 years old An arrow is shot vertically upward at a rate of 210 feet per second. Use the projectile formula h = 16t2 + v0t to determine at what time t (in seconds) the height of the arrow will be 400 feet. Which step of the design thinking process introduces the product or idea to the market? Given a portion of Binary image; ((x,y), with Is referring to thewhite pixels and Os referring to black pixels. The structural element h(xy) is alsogiven. The rule for the resulting center pixel is:g(x, y) = 1iffI'm=-1 Ene-1 f(a + m, y + n) h (m,n) > 2Draw the resulting image g(,y). [2 Bonus points if you can also remove border effect]No MATLAB function can be used in solving this question! Complete these sentences by choosing a word or phrase from the drop-down menu.Asbestos exposure is a(n) cause of lung cancer.Too much exposure to sunlight without the appropriate protection puts a person at high risk for . Find solutions for your homeworkFind solutions for your homeworkbusinessfinancefinance questions and answersuse the following information to answer questions 10-13: david, age 45, wants to retire at age 60. he currently makes $60,000 per year and does not expect any pay increases but expects to receive a cost-of -living increase equal to inflation. he has an objective to replace 80% of his pre-retirement income. he wants the retirement income to be inflationThis problem has been solved!You'll get a detailed solution from a subject matter expert that helps you learn core concepts.See AnswerQuestion: Use The Following Information To Answer Questions 10-13: David, Age 45, Wants To Retire At Age 60. He Currently Makes $60,000 Per Year And Does Not Expect Any Pay Increases But Expects To Receive A Cost-Of -Living Increase Equal To Inflation. He Has An Objective To Replace 80% Of His Pre-Retirement Income. He Wants The Retirement Income To Be InflationUse the following information to answer questions 10-13:David, age 45, wants to retire at age 60. He currently makes $60,000 per year and does not expect any pay increases but expects to receive a cost-of -living increase equal to inflation. He has an objective to replace 80% of his pre-retirement income. He wants the retirement income to be inflation adjusted. His portfolio is currently valued at $150,000 and earning 10% per year. David expects inflation to average 3% and expects to live until age 90. He saves 7% of his gross income at each year-end and expects to continue this level of savings. David wants to ignore Social Security.10.What will Davids annual need be at age 60?Select one:a.$70,316b.$79,369c.$48,000d.$72,79111.How much capital will David need at age 60? (What is his Number)Select one:a.$911,685b.$946,931c.$1,111,685d.$1,211,685e.$1,311,68512.How much will David have at age 60?Select one:a.$760,031b.$770,031c.$780,031d.$790,031e.$800,03113.How much would David need to increase his savings on a MONTHLY basis to meet his goal of retiring at age 60?Select one:a.$7,820b.$450c.$8,020d.$8,120e.$8,220 is considered something used in a process that isn't required for a satisfactory outcome. select one: a. waste b. defects c. muda d. all of the above e. some of the above What is the slope of the line that passes through the points (8, -4)(8,4) and (6, 2) ?(6,2)? NO LINKS!!!14. Consider the table write the sentence in indirect speech he said, "your wireless network is the hub of your devices" write the sentence in indirect speech