a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade velocity

Answers

Answer 1

Answer:

39 km/h

Step-by-step explanation:

Velocity is the rate of change of distance in a given direction with time. Mathematically,

Velocity = Displacement/time

Like speed, velocity is measured in Km/h or m/s.

Given that the car travels at 54 km/h for first 20seconds,

since 60 seconds = 1 minute and

60 minutes  = 1 h,

20 seconds

= 20/(60 ×60) h

= 1/180 h

In the same vein,

30 seconds

= 30 / (60 ×60) h

= 1/120 h

10 seconds

= 10/(60 ×60) h

= 1/360 h

Hence  if the car travels 54 km/h for 10 seconds, the distance covered

= 54 × 1/180

= 3/10 Km

If the car travels 36km/h for next 30seconds, the distance covered

= 36 × 1/120

= 3/10 Km

If the car travels 18km/h for next 10 seconds, the distance covered

= 18 × 1/360

= 1/20 km

Total distance = 3/10 Km + 3/10 Km + 1/20 Km

= 13/20 Km

Total time spent = 20 + 30 + 10

= 60 seconds

= 1/60 h

Average velocity = 13/20 km/ 1/60 h

= 39 Km/h


Related Questions

If 30% of a company's advertising budget is $7,200, then what is the full advertising budget?

Answers

Answer:

$24000

Step-by-step explanation:

Let the full advertising budget of the company be $x.

Therefore, 30% of x = $7,200

[tex]\frac{30}{100} \times x= 7200 \\\\x = \frac{100}{30} \times 7200\\\\x = 100 \times 240\\\\x = \$24000[/tex]

Hence, full advertising budget of the company is $24000.

Help me for brainliest...
The scale on a map is 1:320 000. What is the actual distance represented by 1 centimere? Give your answer in kilometres.

Answers

Answer:

1cm = 320 km?

Step-by-step explanation:

Answer:

[tex]3.2km[/tex]

Step-by-step explanation:

[tex]1 \: : 320000 \\ 1cm = 320000cm[/tex]

[tex]1cm = 100m \\ [/tex]

[tex]1cm = 320000cm \\ 1cm = 3200m[/tex]

[tex]1km \: \: = 1000m[/tex]

[tex]1cm = 3200m \\ 1cm = 3.2km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units, and they know the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Here is how each of them reasoned: Jada's method: Noah's method: 20 + 10^3 20 + 10^3 30^3 20 + 1000 27,00 1,020 Question: Do you agree either of them? Explain

Answers

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Step-by-step explanation:

in a certain group of students, the probability of a randomly chosen students being male is 40%, the probability of the students studying in Spanish is 18%, and the probability of the student being male who study Spanish is 5%. What's the probability of the student studying Spanish, if you know the students male?​

Answers

Divide the 5% of Spanish by 40% male:

0.05 / 0.40 = 0.125

Change to a percent by multiplying by 100:

0.125 x 100 = 12.5%

The answer is a. 12.5%

The probability of the student studying Spanish, if you know the students male will be 12.5%.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that in a certain group of students, the probability of a randomly chosen student being male is 40%, the probability of the students studying Spanish is 18%, and the probability of the student being male who studies Spanish is 5%.

The probability of the student studying Spanish, if you know the student male will be calculated as below:-

Divide the 5% of Spanish by 40% of males:

0.05 / 0.40 = 0.125

Change to a percent by multiplying by 100:

0.125 x 100 = 12.5%

Therefore, the probability of the student studying Spanish, if you know the students male will be 12.5%.

To know more about probability follow

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This table shows the number of different sized pipes that have been used at Highfield Builders in January.
The pipes are grouped according to the size of their diameter.
January: Number of Pipes Used (by Grouped Size)
Diameter (cm)
35-39
40-44
45-49
50-54
55-59
Frequency
8
10
13
3
1
The manager thinks that the mean diameter of pipe used must be in the 45-49 cm group as this is the group
most used.
Is the manager correct?
Show your working out and write the answer in the box below.
(5 marks)​

Answers

Answer:

No

Mean diameter = 44, which is in the 40 - 44 cm group

Step-by-step explanation:

Given the data:

Diameter (cm) - mid point(X) - frequency(F) - - FX

35-39 - - - - 37 - - - - 8 - - 296

40-44 - - - 42 - - - 10 - - - 420

45-49 - - - 47 - - - 13 - - - 611

50-54 - - - 52 - - - 3 - - - 156

55-59 - - - 57 - - - 1 - - - 57

Mean of grouped data:

Sum of (F × X) / sum of F

1540 / 35 = 44

La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximada de santo Dom. A Puerto Plata si X = 6 km?

Answers

Answer:

The distance when x = 6km is D = 498 KM

Step-by-step explanation:

Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km

What we do simply here is to substitute the value 6km as x in the equation

The equation is

D = 4x^3 - 10x^2 -6

Substituting x = 6, we have

D = 4(6^3) -10(6^2) -6

D = 864-360-6

D = 498 km

The sum of the two numbers is 49 and the difference is 11. What are the numbers?

Answers

Answer:

30,19

Step-by-step explanation:

let the numbers be x and y,x>y

x+y=49

x-y=11

add

2x=60

x=60/2=30

30+y=49

y=49-30=19

Answer:

x = first number = 30 and y = second number = 19

Step-by-step explanation:

let the first number be x and second number be y.

According to the given information

The sum of the two numbers is 49

Here, we get the equation.

x + y = 49

Now, Similarly second given information

the difference is 11.

Here, we get the equation.

x - y = 11

Now,

Step 1:

Name the equations

x + y = 49 ...(1)

x - y = 11 ...(2)

Step 2:

Now,

From equation (1) we get,

x = 49 - y

Substitute the value of x = 49 - y in equation (2) we get,

x - y = 11

i.e.,

49 - y - y = 11

49 - 2y = 11

-2y + 49 = 11

2y - 49 = - 11

2y = 49 - 11

2y = 38

y = 38/2

y = 19

Step 3:

Now,

Put the value of y = 19 in equation (1), we get.

x + y = 49

i.e.,

x + 19 = 49

x = 49 - 19

x = 30

Thus, The value of x = first number = 30 and y = second number = 19

VERIFICATION:

30 + 19 = 49

30 - 19 = 11

HELP ASAP PLEASE!!! A patient is to take 60 milligrams (mg) of an antibiotic on day 1, take 45 milligrams (mg) on day 2, take 30 milligrams (mg) on day 3 and take 15 milligrams (mg) on day 4. How many total milligrams (mg) will the patient take? (Show your work)

Answers

Answer:

150 mg

Step-by-step explanation:

This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.

So  you would do:

60+45+30+15 = 150

Since you get a result of 150, 150 mg is the answer.

The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The total amount of antibiotics the patient will take is,

Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg

Hence, the patient will take a total of 150 mg of antibiotics.

Learn more about Addition:

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Jennifer bought 1 apple and 3 oranges for 5.10 and Linda bought 5 oranges and 1 apple for 7.50 what is the price of 1 apple and 1 orange

Answers

Answer:

$2.70

Step-by-step explanation

Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).

Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40

So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.

Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.

Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70

Find the square root of 529/729 .

Answers

Answer:

23/27

Step-by-step explanation:

The square root of 529 is 23

while the square root of 729 is 27

Answer:

23/27

Step-by-step explanation:

529=23^2

729=27^2

sqrt{529/729} =sqrt{[tex]23^{2}[/tex]/[tex]27^{2}[/tex]}

= 23/27

Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.

Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.

Answers

Answer:

Juan conclusion is counterexample

Answer:

1, 2, and 5

Step-by-step explanation:

5. Shirley buys a fax machine and sells it to De
at a gain of 25% on the cost price. Devi then ses
the fax machine to Amirah at a loss of 250 on the
price at which she buys it from Shirley. If Amirah
pays $360 for the fax machine. how much die
Shirley pay for it​

Answers

Answer:

Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.

Shirley buy price:: x

Devi buy price:: 1.25x

Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.

Amirah buy price = 1.25x -250

if Amirah pays $360 for the fax machine,how much did Shirley pay for it?

Equation:

1.25x - 250 = 360

1.25x = 360 + 250

x = 610 / 1.25

x = 488

Ans: x = $488 (Price Shirley paid)

given the graphed function below which of the following ordered pairs are found on the inverse function

Answers

Answer:B

Step-by-step explanation:

Answer: A

Step-by-step explanation:my answer was A and it was correct

Simplify (4^3)^5
A.(1/4)^15
B.4^15
C.12^5
D.4^8

Answers

Answer:

4^15

Step-by-step explanation:

(4^3)^5

We know a^b^c = a^(b*c)

(4^3)^5 = 4^(3*5) = 4^15

Answer:

[tex] {4}^{15} [/tex]

Answer B is correct

Step-by-step explanation:

[tex]( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Is the relation a function

Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

As long as the input has an output it will always be a function.

Answer:

Yes

Step-by-step explanation:

Because there isn't a number in the input colum that is repeated like:

1

1

2

3

Instead each number is individual and they aren't repeated.

If they were repeated then it would NOT be a function.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

-6x+2y=-18. -3x-2y=54

Answers

Answer:

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

-------------------- +

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.

Which of the following is the function for the graph shown?

Answers

Answer: A. [tex]y = x^{2} + 6x + 8[/tex]

Step-by-step explanation:

You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is [tex]y = x^{2} + 6x + 8[/tex]

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner.

How many centimeters of ribbon will Peter need to make the "X"?

Round your answer to the nearest centimeter.

Answers

Answer: 34 cm

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 12^2 + 12^2  

c^2 =144+144  

c^2 = 288

c = √288

c = 16.97 cm = 17 cm (rounded)

The other diagonal has the exact same lenght (because the flag is a square)

So, we have to multiply the length of the ribbon by 2:

17 x2 = 34 cm

Feel free to ask for more if needed or if you did not understand something.  

Answer:

34

Step-by-step explanation:

I did it on Khan

•given ABCD is a kite, check every box that must be true

•use calculations and words to show this quadrilateral meets the definition of a kite​

any help would be appreciated <3

Answers

Answer:

Step-by-step explanation:

A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.

The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:

1) two pairs of consecutive sides are congruent

2) The diagonals are perpendicular

3) The diagonals bisect each other.

Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)

[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]

AB=AD, BC = BC.

This is a kite since two pairs of consecutive sides are congruent

Plzz help!! Please explain.! Will choose BRAINLIEST!!!

Answers

Answer: 3

Step-by-step explanation:

A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.

Answer:

[tex]3[/tex]

Step-by-step explanation:

You can find the length by subtracting.

[tex]Q-P[/tex]

[tex]94-91[/tex]

[tex]=3[/tex]

You can also find the length by counting the units of the distance covered between the points.

Please help with this!!! My grade depends on it!!!

Answers

Answer:

52 degree

Step-by-step explanation:

So using cos again again :v

AC^2 = AB^2 +BC^2 - 2ABBCcosB

AC = 31.796cm

then

BC^2=AB^2 + AC^2 -2ABACcosA

Cos A = 0.61

A=52.17degree

What is the range of the function shown in the graph?

Answers

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

An empty cup in the shape of a cylinder (pictured below) is being filled with water.

7
cm
7 cm
3
cm
3 cm
The cup is filled at a constant rate. The table below shows the amount of water in the cup at specific times.
Number of seconds Amount of water
(
cm
3
)
(cm
3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis
0
00
0
00
3
33
75
7575
6
66
150
150150
Find the percent of the cup that is filled with water after
7
77 seconds.
Use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest percent.

%

Answers

Answer:

The answer is 88%

After 7 seconds the cup is about 88% filled with water.

ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication

Answers

Answer:

[tex]x=1\,,\,y=-1[/tex]

Step-by-step explanation:

Given: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

To solve: the given linear equations

Solution:

Consider the equations:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

By method of cross multiplication:

[tex]\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}[/tex]

For equations: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

[tex]ax+by-(a-b)=0\\bx-ay-(a+b)=0[/tex]

Take [tex]A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)[/tex]

So,

[tex]\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1[/tex]

In a box of crayons 2/5 the crayons are green and 1/6 of purple how much greater is the fraction of green crayons than that of purple A) 1/3 B)3/11 C)1/30 D)7/30

Answers

Answer: 7/30

Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest

what is the midpoint of the segment shown below?

Answers

Answer:

(5, 1/2)

Step-by-step explanation:

To find the midpoint

Take the sum of the x coordinates and divide by 2

(5+5)/2 = 10/2 = 5

Take the sum of the y coordinates and divide by 2

(4+-3)/2 = 1/2 = 1/2

The midpoint is ( 5, 1/2)

It is answer D

Its is exactly in between these to values

What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2

Answers

Answer:

Area for sector = arc measure/360 degrees times pir^2

145 degrees/360 degrees times pi3.7^2 =

0.40277 times 13.69pi =

17.314in.^2 or B.

Circle M has the central angle LAMB with a measure of 63º. Which of the following statements does not represent the
circle M?
O AB is a minor arc
O mAB=63
The center of the circle is point M.
O AB is a major arc

Answers

Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

----------------

O AB is a minor arc

yes, it is 63º, less than half

O mAB=63 º

yes

O The center of the circle is point M.

yes

O AB is a major arc

no, it is not more than half

The slope of the line whose equation is 6x = 4y - 7 is 1. 4 2. 2/3 3. 3/2

Answers

Answer:

3/2

Step-by-step explanation:

Divide by 4 to get 6x/4 = 3x/2

The answer would be 3 over 2

Name and classify the basic geometric object each real life object represent using correct mathematical notation. a. The location of a city on a map b. The angle of a recliner c. Row of corn in a garden d. The angle of a lawn chair when laid all the way down e. An arrow f. The angle of a jet taking off at an airport g. The angle a flag pole sits with the ground

Answers

Answer:

a. A point

b. Obtuse angle

c. A line segment

d. 180 degrees

e. A ray

f. An acute angle

g. 90 degrees

Step-by-step explanation:

a. A point (a place on a plane that has no dimension)

b. Obtuse angle (any angle over 90 degrees)

c. A line segment (a part of a line)

d. 180 degrees (The angle of a line or line segment)

e. A ray (a line segment with one end extending forever)

f. An acute angle (Any angle under 90 degrees)

g. 90 degrees (the pole is perpendicular to the ground)

Other Questions
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4? Consider the different goals of the Glorious Revolution and the American Revolution. Then place each concept in thecorrect category March 6 Cash 2,500 Unearned Fees 2,500 What is the best explanation for this journal entry? a. Performed services for which cash is owed. b. Received cash for services performed. c. Paid cash in advance for services to be performed. d. Received cash for services to be performed in the future. A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal Your answer: 9 cm 12 cm 12 square root of 2 cm 24 square root of 3 c m NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!QUESTION 5Did the universe cool off or get hotter as it expanded after the 'big bang"?The universe is the same temperature it has always beenThe universe gets hotter as it expands, and cooler when it contracts.The universe got hotter and is still getting hotter.The universe cooled off after the 'big bang"QUESTION 6Cosmology is the study of the universe.TrueFalseQUESTION 7What is happening to the universe today?The universe is the same as it was billions of years ago.The universe is expanding.The universe is contracting.QUESTION 8Remote sensing of the Earth's surface and atmosphere may involve the use of what type of instruments?satellitesunderwater probescalorimetersiesmographsQUESTION 9Droughts can influence which of the following?both the resources and populationthe resources available to a populationthe population directlyneither the resources nor the populationQUESTION 10Remote sensing allows us to do which of the following?determine what the weather is like in remote locations such as in the middle of the oceanlocate and examine some natural disastersstudy drought conditions in different parts of the world without the need to travel to remote locationsAll of the above.QUESTION 11What is the most abundant salt in seawater?quartz sulfatesodium chloridesoapsugarQUESTION 12Why is the ocean dark below ~200 meters?All the light has been absorbed by the water above.The water is too salty for the light to travel farther.wet water absorbs more light than dry waterThe light reaches to all depths of the ocean.QUESTION 13What effect does the Earths moon have on the oceans?The Moon is responsible for the tides.When the Moon is full, cheese from the Moon may fall into the ocean.The Moon causes extreme temperature fluctuations every 30-32 yearsThe Moon is too far away from the Earth to have an impact. A square rug has an area of 100 square feet. What is the length of one side of the rug? help this is for special right triangles 30-60-90 Please help! Ty :D WILL GIVE BRAINLIESTKevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year,how much does Kevin spend on lunch over the entire school year? Remember to round to the nearest penny. A boat sends an ultrasound signal of frequency 30 kHz, and receives the signal after 6 s. If the speed of sound in water is 1500 m/s, then find the depth of the ocean.PLEASE HELP I need help if you know please help me out What are three types of population distribution and explain each Sketch and label a food-web that includes at least 6 different items. Makesure to have the arrows show how energy flows from one trophic level tothe next. Find the inequality represented by the graph Traitez le sujet suivant: " Certains parents n'hsitent pas parler de leurs problmes devant leurs enfants . Que pensez- vous de cette attitude ? " - Justifiez votre opinion par des arguments pertinents.j'ai besoin de votre aide et merci d'avance Whats the correct answer for this? Select all the apply There was no parking available at the festival, so Lucia and her friend __________ the bus instead of driving.take took taking Which of the following assumptions was made about many women who worked during World War II?They would not give up their jobs when the men returned from war.They were the real wage earners in their families.They were members of the U.S. military.They were young and single or newly married and childless. On January 1, Year 1, the Timble Corporation (Timble) leases a piece of typical equipment to use for eight years. The equipment has an expected life of ten years and no anticipated salvage value. Timble has an incremental borrowing rate of 5%. Annual payments for this asset are $9,000 with the first payment to be made immediately. At the end of the eight years, Timble has the right to buy the asset for $10,000 in cash. This amount is expected to be significantly below the expected fair value of the equipment on that date so it is reasonable to expect Timble to pay this amount. Timble records depreciation based on the straight-line method and interest based on the effective rate method. The present value of an annuity due of $1 at 5% for eight years is assumed to be 6.80. The present value of an ordinary annuity of $1 at 5% for eight years is assumed to be 6.50. The present value of a single amount of $1 at 5% in eight years is assumed to be 0.66. What amount of depreciation expense should Timble record for Year 1 Pharoah Corporation purchased 29000 shares of common stock of the Sherman Corporation for $44 per share on January 2, 2020. Sherman Corporation had 100000 shares of common stock outstanding during 2021, paid cash dividends of $154000 during 2021, and reported net income of $540000 for 2021. Pharoah Corporation should report revenue from investment for 2021 in the amount of _______. Assume Nortel Networks contracted to provide a customer with Internet infrastructure for $2,100,000. The project began in 2021 and was completed in 2022. Data relating to the contract are summarized below: 2021 2022Costs incurred during the year $ 308,000 $ 1,615,000 Estimated costs to complete as of 12/311, 232,000 0 Billings during the year 390,000 1,640,000 Cash collections during the year 270,000 1,760,000 Required:1. Compute the amount of revenue and gross profit or loss to be recognized in 2021 and 2022 assuming Nortel recognizes revenue over time according to percentage of completion.2. Compute the amount of revenue and gross profit or loss to be recognized in 2021 and 2022 assuming this project does not qualify for revenue recognition over time.3. Prepare a partial balance sheet to show how the information related to this contract would be presented at the end of 2021 assuming Nortel recognizes revenue over time according to percentage of completion.4. Prepare a partial balance sheet to show how the information related to this contract would be presented at the end of 2021 assuming this project does not qualify for revenue recognition over time.Compute the amount of revenue and gross profit or loss to be recognized in 2021 and 2022 assuming Nortel recognizes revenue over time according to percentage of completion. (Loss amounts should be indicated with a minus sign. Use percentages as calculated and rounded in the table below to arrive at your final answer.)