The value of a painting can be predicted by the expression 120(1.08)t, where t is the number of years since 2014.
What does the value 120 represent?

1. the predicted value of the painting in 2014

2. the predicted change in the value of the painting each year

3. the predicted percent change in the value of the painting each year

4. the number of years for which the value of the painting is predicted to continue changing

Answers

Answer 1

Answer:

1. the predicted value of the painting in 2014

Step-by-step explanation:

In the expression, 120 represents the initial value of the painting.

In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.

Exponential growth occurs if a quantity increases by the same factor over equal  intervals of time and if a quantity increases by the same factor over equal  intervals of time then it is said to be exponential decay.


Related Questions

what the answar for 9+4t=7t+15

Answers

Answer:

t= -2

Step-by-step explanation:

9+4t=7t+15

Subtract 4t from both sides

9=3t+15

Subtract 15 from both sides

-6=3t

3t= -6

Divide both sides by 3

t= -2

Simplify the expression:
6b – 2b+ 5b – 8

Answers

Answer:

9b-8

Step-by-step explanation:

6b+5b-2b-8

11b-2b-8

9b-8


Which is not a characteristic of the linear parent function?
A. It goes through the origin.
B. The domain is all real numbers.
C. It has a slope of 1.
D. The range is positive real numbers (y > 0).​

Answers

Answer: D

Step-by-step explanation:

What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali

Answers

The answer is done or clear

2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B

Answers

Answer:

525 mm

Step-by-step explanation:

The edges of A : B = 2.5, thus

The perimeters of A : B = 2.5

Thus the perimeter of B is 2.5 times the perimeter of A

perimeter of B = 2.5 × 210 mm = 525 mm

A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?

48

720

12010




Answers

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:

A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)

A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.

Answers

Answer:

A

Step-by-step explanation:

These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!

The correct option is Option A: figure ABCD is similar to A′B′C′D′.

What is reflection?

Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.

When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).

In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.

In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.

In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.

In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.

So all the points of quadrilateral ABCD are reflected about the y-axis.

As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.

Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.

Learn more about reflection

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Please help! Correct answer only!

A raffle has 1,000 tickets. One ticket will win a $830 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " ⇒ $ 0.830

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]

Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )

find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)

Answers

Answer:

115

Step-by-step explanation:

4*2+8(2) = 24

31

7(2)+30 = 44

3*2-5(2)+20 = 6-10+20 = -4+20 = 16

24+31+44+16

115      

7(2) + 30 = 14+30 = 44
3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32

P = 31 + 44 + 22 + 32 = 129

The perimeter is 129 inches

Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (including the crusts). Each handful of cheese covers 21 square inches, Calculate the area of the pizza slices that they want to put cheese on.

Answers

Answer:

125.66 in2

Step-by-step explanation:

The area of the pizza is given by the formula:

Area = pi * radius^2

The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches

Then, the total area is:

Area = pi * 8^2 = 64pi in2

They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.

If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:

360° -> 64pi in2

225° -> x in2

x = (225/360) * 64pi

x = 125.66 in2

Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2

Answers

Answer:

2/3-4x+7-2=-9.x+5/6

2/3+7/1-2/1-5/6=-9.x+4x

12+126-36-15/18=-5x

87/18=-5x

29/6=-5x

29/6÷5=-5x÷5

29/6*1/5=-5x÷5

29/30=-x

-29/30=x

-0.9667=x

The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
undefined

Answers

Answer:

the answer is b

Step-by-step explanation:

plz give me a Brainliest

A word that describes the slope of the line is negative. The correct answer is option B.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

For this case the first thing you should know is that we have an equation of the form:

y = mx + b

Where,

m: The slope of the line

b: Cutting point with the vertical axis.

For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.

This means that it is true that:

m < 0

Therefore, the slope of the line is negative.

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A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

The factors of 8 are 1,2,4

So there are three factors of 8 on the dice

There are a total of 6 numbers on the dice

So the probability is ,3/6

Which in its simplest form is 1/2

In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.

Answers

Answer:

The material cost for December = $356,000

Step-by-step explanation:

The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials

Hence, whereby the cost per liter = $0.47, we have;

Total volume produced = 4.0 million liters

Manufacturing overhead = $1,435,000

Total cost = Cost per liter × Total volume produced

∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000

Hence the cost of labor + materials = Total cost - Manufacturing overhead

the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000

Labor cost = 25% material cost = 0.25 × material cost

∴ 0.25 × material cost + material cost = $445,000

1.25 × material cost = $445,000

material cost = $445,000/1.25 = $356,000

Which gives labor cost = 0.25 × $356,000 = $89,000

The material cost for December = $356,000.

What is the value of x ?

Answers

Answer:

x=22

Step-by-step explanation:

set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!

75 + 92 + ( x+57 ) + ( x+92) = 360

( x+57 ) + ( x+92 ) = 201

2 x = 44

x = 22

five more than a half number is 6. find the number.

Answers

First write the equation:
1/2x + 5 = 6

Then subtract five from both sides:

1/2x = 1

Multiply both sides by 2:

x = 2
Equation :
1/2x +5 = 6

Subtract both sides by five:
1/2x = 1

Multipy by 2:
X=2

Which graph has a correlation coefficient, r, closest to 0.75?

Answers

Answer:

option A

Step-by-step explanation:

to find the correlation coefficient by hand, first put your data pairs into a table....

Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.

What is Correlation Coefficient?

Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.

Given are four graphs.

The range of values for correlation coefficient, r is from -1 to 1.

The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.

Here the value of r is closest to 0.75.

Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.

Two such graphs are B and C.

Since r is 0.75, it is positive, So the relationship is positive.

So graph C is the correct one.

Hence graph C is the required graph.

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Please help! select the correct answer

Answers

Answer:

the answer is show me your kitty cat

Step-by-step explanation:

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from

Answers

Answer:

a)40.5m

b)139.5m

Step-by-step explanation:

Considering downward as 'positive' y-direction

[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]

First is to resolve initial velocity into x and y component:

[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]

a) in order to find horizontal position of the ball:

[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]

[tex]x_f= 8.1\times5=40.5m[/tex]

b) To find the height that the ball was thrown from(vertical position):

[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]

Simplify the following exponential expression.
14405c4
- 166c-14

Answers

ANSWER!
14405c•4-166c-14
57620c-166c-14
57454c-14
I hope this helps!

I don't understand this math problem need help plz!

Answers

Answer:

A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)

Step-by-step explanation:

When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;

(x, y) - - - -> (-y, x)

Therefore, in the question above ;

Translation = (x-2, y+3)

A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)

B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)

C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)

D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)

Aramis showed the division of 6p2 + 9p + 3 by 3p. A + 3 + B What are the values of A and B? A = 2p and B = p A = 3p and B = p A = and B = A = 2p and B =

Answers

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

To divide this,

we first see how many times 3p will go into 6p².

 [tex]\frac{6p^2}{3p} = 2p[/tex]

It will go in 2p times; this goes up top of the problem.

Multiplying back through, we have

[tex]2p*3p = 6p^2[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^2-6p^2= 0.[/tex]

 This cancels.  Bring down the next term, 9p.

See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]

it goes in 3 times.  This goes up top, beside the 2p.  We separate them with a +, since the 3 is positive.

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

[tex]2p + 3 + \frac{3}{3p}[/tex]

The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;

this gives us

[tex]2p + 3 + \frac{1}{p}[/tex]

Therefore, the answer is  A = 2p and B = 1/p

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?​

Answers

Answer| range: {15, 11, 7, -3, -7}

Step-by-step explanation:

Plug in the domain to find the range:

x = 4

2(-4) + y = 7

-8 + y = 7

y = 15

x = -2

2(-2) + y = 7

-4 + y = 7

y = 11

x = 0

2(0) + y = 7

0 + y = 7

y = 7

x = 5

2(5) + y = 7

10 + y = 7

y = -3

x = 7

2(7) + y = 7

14 + y = 7

y = -7

4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m 130°
80°
65°
50°

Answers

In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?

Answer: 80°

Step-by-step explanation:

ST = SP and m∠R = 130°

If m∠R = 130°, then,

QPS = 130° ( Opposite angles of a parallelogram are equal)

QPS + SPT = 180° (angle on a staght line)

130° + SPT = 180°

SPT = 180° - 130° = 50°

PTS = SPT = 50° (Base Angle of an isosceles triangle)

m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)

m∠PST = 80°

A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?

Answers

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

Answer:

every 30 seconds.

Step-by-step explanation:

I'm a banana

I'm a banana

I'm a banana

Look at me move, yeah yeah

I'm a banana

I'm a banana

I'm a banana

Look at me move, ah

Banana power

Banana power

Banana power

Power

Banana power

Banana power

Banana power

Look at me move

Uh oh banana time

Uh oh banana time

Uh oh banana time

Stop

Stop

Stop

Carts, farts, marts, darts

Hearts, starts, carts, marts

Carts, marts, darts, farts

Darts, starts, hearts, ah

Chicken, chicken, chicken

I am

Chicken, chicken

Chicken

Stop

Look at me

Look at me move

I'm a banana

I'm a banana

I'm a banana

yes

Solve the equation for y: x = 2y - 3

Answers

Answer:

[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]

Step-by-step explanation:

write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?

Answers

Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Select all the equations where y=10equals, is a solution.
Choose 2 answers:



A
y+11=22


B
8=18-y


C
60=6y


D
y/5=4

E
10y=20

Answers

Answer:

B and C

Step-by-step explanation:

A. y + 11 = 22         →  subtract 11 from both sides:

    y = 11

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

B. 8 = 18 - y           →  subtract 18 from both sides:

    -10 = -y              →  divide both sides by -1:

     10 = y

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

C. 60 = 6y             →  divide both sides by 6:

    10 = y

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

D. [tex]\frac{y}{5}[/tex] = 4                  →  multiply both sides by 5:

   y = 20

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

E. 10y = 20            →  divide both sides by 10:

     y = 2


Which pair of angles are vertical angles?

Answers

Answer:

angles 1 and 4, and angles 2 and 3

Answer:

1 and 4, 2 and 3

Step-by-step explanation:

Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.

Other Questions
Poem 1Mutability IIby Percy Bysshe Shelley (excerpt)The flower that smiles to-dayTo-morrow dies;All that we wish to stayTempts and then flies.What is this world's delight?Lightning that mocks the night,Brief even as bright.Poem 2Nothing Gold Can Stayby Robert FrostNature's first green is gold,Her hardest hue to hold.Her early leafs a flower;But only so an hour.Then leaf subsides to leaf.So Eden sank to grief,So dawn goes down to day.Nothing gold can stay.3Select the correct answer.Which theme is shared by both poems in the passage?A. All good things must come to an end.B. Happiness depends on nature.C. People want too much from life.D. Dark times are followed by better ones. In order to calm peasant rioters during bad wheat harvests, the Roman king _______ . a. executed the unruly c. provided peasants with money and food b. enacted bread & circus d. lowered taxes for that year Please select the best answer from the choices provided A B C D Before you begin to compose a message, you should conduct research to collect the necessary information. To avoid frustration and inaccurate messages, be sure to consider the receiver's position.Which questions should you ask yourself before determining what and how to research? A) Can I access information electronically to speed up the research process?B) Is it really important to be writing to this person, or should I call him or her?C) What strategies should I use when looking up information in the library database?D) What does the receiver need to know about this topic? Who is the president in Dominican An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temperature of 322 K. Over the course of one hour, the engine absorbs 1.37 x 105 J from the hot reservoir and exhausts 7.4 x 104 J into the cold reservoir. 1) What is the power output of this engine? 2) What is the maximum (Carnot) efficiency of a heat engine running between these two reservoirs? 3) What is the actual efficiency of this engine? Find the value of x in the given figure using properties of parallel lines. answers: A) 35 B) 15 C) 75 D) 105 You have just been offered your dream job after graduating from Jacksonville University. In response to your negotiations concerning your compensation package, the company has offered you a couple of different stock options in addition to the agreed upon salary.Under the first option, you would receive stocks with a value of $2,000,000 at the end of each year. This option also includes an additional $4,000,000 bonus that you would receive for staying at the company for 3 years.Under the second option, you would receive stocks with a value of $1,000,000 at the end of each year. This option also includes an additional $8,000,000 bonus that you would receive for staying at the company for 3 years.Assume that these stocks grow at a rate of 11% compounded monthly. Moreover, assume that you will leave the company at the end of your fourth year to start your own firm. Which option will you choose. (The more money you have to start your own firm, the better.)Your formal solutions should include ... The overall goal and/or purpose. The given information A time-line for each option A future value for each individual stock payment provided you by the company The total future value of each option at the time you plan to leave the company Your conclusion 1. How are populations of chimpanzees affected by slash and burn agriculture? 2. Which features of chimpanzees make them more disadvantaged than other primates? A. Element B. Compound C homogenous mixture D heterogenous mixture If all earths ice melted what will happen The scientific process is most similar to:A Following a recipeB Learning a languageC Building a bridgeD Solving a mystery Assume that a machine puts out 8000 joules of work when the user puts in 10,000 joules of work. What is the efficiency of the machine? A sample of carbon-12 has a mass of 6.00 g. How many atoms of carbon-12 are in the sample?3.01 x 10^236.02 x 10^231.20 x 10^243.60 x 10^24 John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 Lansing, Inc., provided the following data for its two producing departments: Molding Polishing Total Estimated overhead $400,000 $80,000 $480,000 Direct labor hours (expected and actual): Form A 1,000 5,000 6,000 Form B 4,000 15,000 19,000 Total 5,000 20,000 25,000 Machine hours: Form A 3,500 3,000 6,500 Form B 1,500 2,000 3,500 Total 5,000 5,000 10,000 Machine hours are used to assign the overhead of the Molding Department, and direct labor hours are used to assign the overhead of the Polishing Department. There are 30,000 units of Form A produced and sold and 50,000 of Form B. Required: 1. Calculate the overhead rates for each department. 2. Using departmental rates, assign overhead to the two products and calculate the overhead cost per unit. How does this compare with the plantwide rate unit cost, using direct labor hours? 3. What if the machine hours in Molding were 1,200 for Form A and 3,800 for Form B and the direct labor hours used in Polishing were 5,000 and 15,000, respectively? Calculate the overhead cost per unit for each product using departmental rates, and compare with the plantwide rate unit costs calculated in Requirement 2. What can you conclude from this outcome? According to the video, how did Western culture primarily spread to China? Migrant workers from the West began to settle in China to find jobs. Chinas government opened the country to increased trade with the West. An invading military introduced the people of China to a different culture. Chinese immigrants in the West exposed the people back home to new ideas. Which of the following roles best fits the situation?Kevin wants to create a business but is not sure what role is best for him. He has capital to invest. He has several partners with which he can begin a business. He has the most management experience of all his potential partners.A. Limited partner in a limited partnership.B. Neither a limited or general partner would be a good choice.C. General partner in a limited partnership. The roots of the function f(x) = x2 2x 3 are shown. What is the missing number? 28 points!! please help At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?