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 1

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.


Related Questions

why the weight of a body decreases with increases in distance from the earth's surface​

Answers

because as the distance increases the gravitational force decreases so the weight of a body decreases

Answer:

Weight of the body decreases with increase in distance from the Earth because weight is inversely proportional to distance from the Earth which means Weight of the body decreases with increase in distance from the Earth and vice versa. Also Weight is "gravitational force exerted on the body" so as the distance from the Earth increases , the "gravitational force" decreases.

a 1000 kg rhinoceros running at its top speed of 15 m/s has a kinetic energy of a.bc X 10^ J. What are the values of a.b.c. and d?

Answers

Answer:

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Explanation:

Given;

Mass of rhinoceros m = 1000kg

Velocity v = 15m/s

The kinetic energy of the body at this speed is;

K.E = 0.5×mv^2 ........1

Substituting the values of m and v into equation 1;

K.E = 0.5×1000×15^2

K.E = 112500 J

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Ahoy starting from rest moves with a distance of 200m in 10 seconds...Find the magnitude of acceleration

Answers

Answer:

The magnitude of acceleration is 2m/s² .

Explanation:

First, you have to find the velocity as it starts to travel 200m in 10s. The formula of velocity is V = Distance/Time, then you have to substitute the values into the formula :

[tex]v = d \div t[/tex]

[tex]let \: d = 200 \\ let \: t = 10[/tex]

[tex]v = 200 \div 10[/tex]

[tex]v = 20m/s[/tex]

Next, you have to substitute the values into the acceleration formula, a = (v-u)/t where v represents final velocity, u is initial velocity and t is time taken :

[tex]a = \frac{v - u}{t} [/tex]

[tex]let \: v = 20 \\ let \: u = 0 \\ let \: t = 10[/tex]

[tex]a = \frac{20 - 0}{10} [/tex]

[tex]a = \frac{20}{10} [/tex]

[tex]a = 2m/ {s}^{2} [/tex]

The atomic number of a nucleus decreases during which nuclear reactions?

A. Nuclear fission and alpha decay
B. Nuclear fusion and beta decay (positron emission)
C. Nuclear fission and beta decay (electron emission)
D. Nuclear fusion and alpha decay

Answers

The atomic number of a nucleus decreases during:

A. Nuclear fission and alpha decay

What happens in alpha decay?

Alpha decay is an atomic rot process where a shaky core changes to one more component by shooting out a molecule made out of 2 protons and 2 neutrons. This catapulted molecule is known as an alpha molecule and is just a helium core.

It changes or 'rots' into an alternate nuclear core, with a mass number that is decreased by four and a nuclear number that is diminished by two.

Thus, option A is correct.

Find more information about Alpha decay here:

brainly.com/question/13512293

why is sun the only star that can be seen during day time​

Answers

Explanation:

i think the sun is near the earth that's why we see the sun during the day and the moon is behind the sun so when it is in the night the moon will remove in front the sun and there will be night I hope it will help you

PLEASE HELP. Really important

Answers

Explanation:

2) C would need the least effort, because the longer the effort distance, the least the effort applied.

2Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the charge of Object 1 is one-fourth the original value AND the charge of object 2 is tripled AND the distance separating Objects 1 and 2 is halved, then the new electrostatic force will be _____ units.

Answers

Answer:

The new force becomes 3 times of the initial force.

Explanation:

Let q₁ and q₂ are two charged particles. The force between them is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}\ ......(1)[/tex]

If [tex]q_1'=\dfrac{q_1}{4}[/tex]

and

[tex]q_2'=3q_2[/tex]

Also, r' = r/2

New force,

[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]

Putting all the above values,

[tex]F'=\dfrac{k\dfrac{q_1}{4}3q_2}{(r/2)^2}\\\\F'=3\times \dfrac{kq_1q_2}{r^2}\\\\F'=3F[/tex]

So, the new force becomes 3 times of the initial force.

The object will feel minimum force of gravity at the

Answers

Answer:

space , small amount of gravity is found in the space ,infact we can say that there is no gravity in the space

Answer:

Poles

Explanation:

The gravitational force is maximum at the equator and minimum at the poles.

Consider a cylindrical crew module with a diameter of 5 meters, a length of 15 meters, and a crew of 6 people. The module contains air that is at
standard sea-level atmospheric pressure and temperature. The sea level density of air at 20 degrees Celsius is 1.204 kg/m3.
What is the volume of the crew module? Provide your answer in m' with at least 2 decimal places.​

Answers

Answer:

  294.524 m^3

Explanation:

The volume of a cylinder is given by the formula ...

  V = πr^2h

For a radius of 2.5 m and a length of 15 m, the volume is ...

  V = π(2.5 m)^2(15 m) = 93.75π m^3 ≈ 294.524 m^3

The volume is about 294.52 cubic meters.

A squeeze bottle squeezes when pressed. It regains its shape when pressed .It regains its shape when the pressure from your hand is withdrawn. What may happen if the squeeze bottle is pressed to take the sauce out and then immediately corked tightly? Will it regain its shape? If not, Why?

Answers

Answer: It will not regain its shape, because when it is corked it can not replace the volume of material that you just take out of it.

Explanation:

When you squeeze the bottle, you are changing the volume of the bottle, in this process, you are "expelling" the material inside the bottle.

When you stop squeezing, there is a change in pressure, and the bottle "absorbs" air, until the pressure is equilibrated, and in this process, the bottle returns to the original shape.

Now, if you take the sauce out of the bottle and immediately cored it, then you removed the material inside of the bottle and did not let the bottle to "refill" the empty space with air, so it can not regain its shape.

a motorcar is moving with a velocity of 108 km / h and it takes 4s to stop after the brakes are applied calculate the force exerted by the brakes on the motorcar if it's mass along with the passengers is 1000 kg​

Answers

Answer: - 7500N

Explanation:

Given the following :

Initial Velocity of car = 108km/hr

Time taken to stop after applying brakes = 4s

Mass of passengers in car = 1000kg

Force exerted by the brakes on the car =?

After 4s, then final Velocity (V) = 0

Initial Velocity (u) of the car = 108km/hr

108km/hr = (108 × 1000)m ÷ (3600)s = 30m/s

Force exerted = mass(m) × acceleration(a)

Acceleration of car = Change in Velocity with time

a = (v - u) / t

a = (0 - 30) / 4

a = - 30/ 4

a = - 7.5m/s^2

Therefore,

Force exerted = mass(m) × acceleration(a)

Force exerted = 1000kg × (-7.5)m/s^2

Force exerted = - 7500N

Answer:

The force exerted by the brakes on the motor car is -7500 N.

Explanation:

Given :-

Mass of the motor car along with passengers (m)= 1000 kgInitial velocity (u) = 108 km/hTime taken (t) = 4 s

To find :-

The force exerted by the brakes on the motor car.

Solution :-

Since the car stops, the final velocity (v) will be 0 m/s.

• Initial velocity (u) = 108 km/h.

Converting initial velocity into m/s.

We know that,[tex] \sf{1\:km/h=\dfrac{5}{18}\:m/s}[/tex]

Then initial velocity,

= [108 × 5/18 ] m/s

= 30 m/s

Now find the force exerted by the brakes.

Formula used :

[tex]{\boxed{\sf{F=\dfrac{m(v-u)}{t}}}}[/tex]

   [put values]

[tex]:\implies \sf \: F= \dfrac{1000(0 - 30)}{ 4} \\ \\ : \implies \sf \: F \: = \dfrac{ - 30000}{4} \\ \\ : \implies \sf \: F \: = - 7500[/tex]

The force exerted by the brakes on the motor car = -7500 N.

•The negative sign of force(F) means that the force was applied in opposite direction of motion.

__________________

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:

[tex]v=\sqrt{\frac{ev}{m} }[/tex]

Explanation:

The helium ion has:

a potential difference in vacuum = V,

Charge = 2e

and mass = 4m,

speed = v,

mass = 4m

From electrostatics, the work done is the product of charge and its potential difference.

Therefore, Work done = charge × potential difference = 2e × V = 2eV

This work done is in form of kinetic energy, therefore:

Kinetic energy = 1/2 × mass × speed²

⇒  Work done = Kinetic energy

[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]

If mass = 30kg, gravity = 10 N/kg and height is 2m of a car. Calculate the gravitational potential energy.

Answers

Answer:

P.E.=600Nm

Explanation:

m=30kg

g=10m/s²

h=2m

P.E.=?

as we know that

P.E.=mgh

P.E.=30kg×10m/s²×2m

P.E.=600Nm

I NEED ANSWER RN OR ILL BE DED

Answers

Answer:

i) O m/s² as velocity is constant

ii) 20m/s

iii)Hint:Calculate the area of the graph,that is;below the line, for the first 15 seconds only

Hope this helps.

An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second floor is located 5.30 meters above the first floor. The average passenger's mass is 60 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.
Please help me quickly!

Answers

Answer:

1298.5watt

Explanation:

Power is defined as the rate at which work is done

Expressed mathematically as;

P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered

Hence for 1 person the power consumption is ;

Note weight =mass× acceleration of free fall due to gravity,g

g is known as 9.8m/S2

Time taken is 1min which is 60 sec

60 ×9.8 × 5.3/60 = 51.94 watt

Hence for 25 persons we have

25 × 51.94 =1298.5watt

1.3kilo watt( kilo is 1000)

The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

The Work Done is calculated as:

Force (F) = 60 × 9.8

Distance (d) = 5.30 meters

Work (W) = F × d

Work (W) = (60 × 9.8) × 5.30

Work (W) = 3,080.4 joules

The Power is calculated as:

Time (t) = 1 minute

Power (P) = Work / Tim (t)

Power (P) = 3,080.4 / 60

Power (P) = 51.34 watts

Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

To know more about the work done and power:

https://brainly.com/question/29369495

#SPJ4

If two similar large plates each of area having surface charge density is +a and -b are separated by a distance d in air find the expression for the potential difference and capacitance between them

Answers

Answer:

a. V = (a - b)d/2ε₀ b. 2ε₀A/d

Explanation:

a. The potential difference between the plates

Using Gauss' law, we first find the electric field between the plates

ε₀∫E.dA = Q where Q = charge enclosed, E = electric field

Now Q = [a +(-b)]A = (a - b)A where + a and -b are the surface charge densities of the plates and A is the area of the plates.

ε₀∫E.dA = Q

ε₀∫EdAcos0 + ε₀∫EdAcos0 = (a - b)A

ε₀E∫dA + ε₀E∫dA = (a -b)A

ε₀EA + ε₀EA = (a -b)A

2ε₀EA = (a -b)A

E = (a - b)/2ε₀

We now find the potential difference, V between the plates from

V = ∫E.dl

V =E∫dl

V = Ed  where ∫dl = d the distance between the plates.

V = (a - b)d/2ε₀

b. The capacitance between them

Capacitance C = Q/V

= (a - b)A ÷ (a - b)d/2ε₀

= 2ε₀A/d

12.0 V car battery has a voltage drop of 3.4 V when the starter draws 93 A of current. What is the resistance of the starter? O 88 m2 84 mg O 80 m2

Answers

Answer:

[tex]R_s = 0.093 \Omega[/tex]

Explanation:

Voltage of the car battery = 12.0 V

Voltage drop in the battery = 3.4 V

The remainder of the voltage is the starter voltage, that is:

Starter voltage = Initial battery voltage - voltage drop

Starter voltage = 12.0 - 3.4

Starter voltage, [tex]V_{s}[/tex] = 8.6 V

Current drawn by starter, [tex]I_s[/tex] = 93 A

According to Ohm's law: [tex]V_s = I_s R_s[/tex]

Starter Resistance, [tex]R_s[/tex] = [tex]V_s/I_s[/tex]

[tex]R_s = 8.6/93\\R_s = 0.093 \Omega[/tex]

Which of the following is equal to an impulse of 9 units?
A. Force = 5, time = 2
B. Force = 1, time = 8.5
C. Force = 2, time = 4.5
D. Force = 3, time = 2

Answers

Answer: C. (Force = 2, time = 4.5)

Explanation:

J = FΔt

A. J = 5*2

A. J = 10

B. J = 1*8.5

B. J = 8.5

C. J = 2*4.5

C. J = 9

D. J = 3*2

D. J = 6

Answer:

C. (Force = 2, time = 4.5)

A circuit is made of a battery, a light bulb, and a 2 resistor. The battery has a voltage of 3 volts. When connected, the ammeter reads a current of 1 amp in the circuit. Find the resistance of the light bulb.

Answers

Answer:

3ohms

Explanation:

From Ohm's Law

V = IR

V is that voltage = 3volts

I = current = 1amp

R = resistance in ohms

Putting those values into the above formula.

3volts = 1amp×R

Making R the subject

R = 3/1

R = 3ohms

The resistance of the light bulb is 3ohms.

The acceleration due to gravity of jupiter is 25meter per second squar.what does it means?​

Answers

Answer:

That due the the gravity anything that falls in its gravity accelerates by 25metres per second

Explanation:


A train starts from its station and it
velocity reaches 200m/s in 5
seconds. What is its acceleration?

a. 400m/s
b. 40m/s2
c. 4.5m/s2
d. Initial velocity is missing​

Answers

Answer:

b. 40m/s2

Explanation:

Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2

Answer:

B

Explanation:

v = vo + at

200 = 0 + a*5

200 = 5a

a = 200/5 = 40 m/s²

initial velocity (vo) is 0 because it says it start from station

HELLO PLZ HELP
Write the properties of brake fluid

Answers

Answer:

Explanation:

If you look at the chemistry behind most brake fluid, it comes from the combination of various types of glycols, which are basically a mixture of non-petroleum and other alcohol-based fluids. After a mixing process, the chemical name gets shortened to “polyglycol”. In addition, there are also high-grade silicone-based fluids, which cannot be mixed with any other type of fluid. So whether it's used in the brake or clutch system, it's important to understand the differences between these common types of brake fluid.

The brake fluid must maintain specific properties. Our brakes can get hot, sometimes up to 1200 degrees, so the fluid needs a high boiling point. Also, because our vehicles experience seasons just as we do, it’s important to have low freezing point as well. On top of maintaining both extremes, it's designed not to damage any rubber components in the brake system.

As a result, the chemical properties found in most brake fluids can permanently dull or damage paint. So be sure to handle with care and be quick to clean any accidental overspills. Brake fluid is hydroscopic, meaning it has a natural tendency to absorb moisture. And over enough time the added moisture can result in corrosion build up or a decreased boiling point. It’s never a bad idea to change your brake fluid every couple of years and try not to leave your reservoir cap off any longer than needed

Answer: high operation temperatures, good low-temperature and viscosity-temperature properties, physical and chemical stability, protection of metals from corrosion, inactivity with respect to mechanical rubber articles, and lubricating effect

Hope this helps

Hi can someone help with this:
1) The volume of a gas is 4 m3 when its pressure is 200 kPa. Assuming the temperature does not change, calculate its pressure when the volume is 3 m3 .

2) The pressure of a gas is 1.8 × 105 Pa when its volume is 80 cm3 . Its temperature is constant. Calculate its volume when the pressure becomes 1.2 × 105 Pa.

I'd appreciate if there was working shown

Answers

Answer:

2.67 x10 power5 Pascal

Explanation:

pv=nRT n, R,T--constant

so, p1v1=p2v2

p2=p1xv1/v2


What would Genaris and her classmates most likely do to
test this idea?
its

Answers

Explanation:

they would formulate a new hypothesis with the same dependent variable but a different independent variable as a virginal hypothesis .

Chemical potential energy can be released into
energy
OA) heat
OB) elastic
OC) potential​

Answers

The answer is A) heat.

Answer:

C Potential

Explanation:

Chemical potential energy is a form of potential energy related to the structural arrangement of atoms or molecules. This arrangement may be the result of chemical bonds within a molecule or otherwise. Chemical energy of a chemical substance can be transformed to other forms of energy by a chemical reaction.

Which of these would not improve accuracy? 

A)Taking a bigger sample size

B)Using a bigger range of the independent variable

C)Using measuring instruments that can read to a greater number of decimal places

D)Remove anomalies​

Answers

I think it’s D, mostly just because all the other ones seem like they couldn’t be the answer.
It’s not D, it’s B. Using a bigger range would mean there’s a greater expanse of answers, not a precise, accurate reading. Removing anamalies would make it more accurate- they’re results that don’t fit the pattern, so removing them would make the results even more results. Therefore, the answer is B. Hope this helps!

plz help!
A driver in a car moving with the velocity 72km/hr sees a cow on a road 20m ahead. He applies the brake and the car stops in 4 second . Does an accident occur ? After what distance does the car come to rest?​

Answers

72km/hr = 72000m/3600seconds(we convert km/hr to m/s
= 20m/s
Velocity= 20m/s
In 4seconds,distance covered=20x4= 80m
Therefore,an accident occurs because in 4seconds, the car would have moved past 20m

The graphic organizer compares energy transfer in two layers of the Sun. A venn diagram of 2 intersecting circles with the left circle labeled convection zone and the right circle labeled radiative zone. There is an X in the convection zone circle. There is a Y in the radiative zone. Which labels belong in the regions marked X and Y? X: Absorbs energy from the core Y: Takes longer for photons to move through X: Releases energy to the photosphere Y: Takes longer for photons to move through X: Takes longer for photons to move through Y: Absorbs energy from the core X: Takes longer for photons to move through Y: Releases energy to the photosphere

Answers

Answer:

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Explanation:

Convection is a mode of heat transfer through fluids (liquids or gas), and it requires material medium for its propagation.

The energy absorbed from the core of the Sun, is transferred through X (convection zone) by convectional process, and it flows to Y (radiative zone). Since the regions X and Y have different functions, the heat propagates from X causing photons to traverse through Y where it get released into the photosphere or the Sun's surface.

Therefore;

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Answer:

X: Takes longer for photons to move through

Y: Releases energy to the photosphere

Explanation:

someone pls help me this is due today!!!

Answers

Answer:

a. 6 A

b. 3 V

Explanation:

a. By using Kirchoff's Junction Rule, which states that the current flowing into a junction must equal the current flowing out of it. As you can see in the first 3-way split, the current splits into 3A, 2A, and 1A. This means that when the 3 wires rejoin, the current must have a magnitude equal to the total of the current flowing in all 3 branches, which would equate to 3+2+1 = 6 A.

b. Voltage differences across branches of a parallel circuit are identical. This means that we can treat the 3 resistors as one, and say that the voltage drop across that whole area is 3 V. Since that is the only voltage drop in the circuit, the battery's voltage drop must also be 3 V to equate to it. This is explained by Kirchoff's Loop Rule.

Please LOTS OF POINTS. WILL MARK BRAINLIEST


Calculate the Resulting movement using the formula:
Perpendicular distance x Force

Answers

1]F1*D1=F2*D2

10N×2m=5N*3m

20N=15Nm

The seesaw will turn anti clock wise.

2]

F1*D1=F2*D2

3N*4m=2N*6m

12Nm=12Nm

It will neither rotate toward anti clock wise nor clock wise

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the most important steps in voting process Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?Please, need answer in 5 minutes The law of conservation of energy states thatA. energy cannot be converted from one from to anotherB. energy cannot be created or destroyedC. energy resources must be used efficientlyD. energy is constantly being lost to friction Classify COB in the image below as either Acute, Obtuse, Right, or Straight. Plz help ASAP will give brainliest if answered correctly!! Need help with Spanish 3!!! Combine two sentences into one by using the correct relative pronoun.1. Vous recevrez une promotion. Nous avons parl de cette promotion la runion. 2. Je suis un cadre. Je dirige ce projet. 3. Nous avons appel une comparable. Elle viendra cet aprs-midi.4. Ce sont les spcialistes de ce domaine. Le domaine nous intresse.5. Tu as pris rendez-vous avec la banquire. Nous avons dj appel cette banquire. 6. La carrire est la mode. Jai toujours rv de cette carrire. Spanish Level 1Jonathan: Claudia, ________ el domingo?Claudia: No, mi mam ________. El domingo es mi cumpleaos.Jonathan: Feliz cumpleaos!A) cocina; cocinasB) miras; miraC) mira; miroD) cocinas; cocina Graph the image of the figure after a dilation with a scale factor of 3 centered at (2,7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices. Match each term with its correct definition A student drops two metallic objects into a 120 g steel container holding) 150 g of water at 25C. One object is a 253 g cube of copper that is initially at 85C, and the other is a chunk of aluminum that is initially at 5C. To the surprise of the student, the water reaches a final temperature of 25C, its initial temperature. What is the mass of the aluminum chunk? (please add an explanation) PLATO USERS!Select the correct answer from each drop-down menu.cos(420) =sin(450) = Consider the business Daves Doughnuts. Which of the following is a sunk cost of this business? Group of answer choices The monthly rent Dave must pay to use a building downtown The wages Dave pays to his workers who make the doughnuts The expenses that went into research and development of a new doughnut flavor The salary that Dave could be earning elsewhere if he didnt own the business None of the above HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME Question:Pick out the adverbs and state the kind of each. 1. What is an adverb The first republic presidential candidate was Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how ANSWER QUICK!!! Need 2 people to answer with the same answer to make sure! in the fridge there are 7 apples and 5 oranges. which of the following does NOT represent a ratio in the fridge? 7:5 5:7 5:12 7:12 6:7 I dont know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!! Ken is 63 years old and unmarried. He retired at age 55 when he sold his business, Understock.com. Though Ken is retired, he is still very active. Ken reported the following financial information this year. Assume Ken files as a single taxpayer.Ken won $1,200 in an illegal game of poker (the game was played in Utah, where gambling is illegal).Ken sold 1,000 shares of stock for $32 a share. He inherited the stock two years ago. His tax basis (or investment) in the stock was $31 per share.Ken received $25,000 from an annuity he purchased eight years ago. He purchased the annuity, to be paid annually for 20 years, for $210,000.Ken received $13,000 in disability benefits for the year. He purchased the disability insurance policy last year.Ken decided to go back to school to learn about European history. He received a $500 cash scholarship to attend. He used $300 to pay for his books and tuition, and he applied the rest toward his new car payment.Kens son, Mike, instructed his employer to make half of his final paycheck of the year payable to Ken as a gift from Mike to Ken. Ken received the check on December 30 in the amount of $1,100.Ken received a $610 refund of the $3,600 in state income taxes his employer withheld from his pay last year. Ken claimed $12,050 in itemized deductions last year (the standard deduction for a single filer was $12,000).Ken received $30,000 of interest from corporate bonds and money market accounts.What is his gross income?