A party rental company has chairs and tables for rent.The total cost to rent 5 chairs and 3 tables is $39.The total cost to rent 2 chairs and 12 tables is $129.What is the cost to rent each chair and each table?

Answers

Answer 1

Answer:

The cost to rent each chair is $0.6.

The cost to rent each table is $10.5.

Step-by-step explanation:

Let's denote the cost of renting one chair as c and the cost of renting one table as t. Then we can write two equations based on the given information:

5c + 3t = 39 (equation 1)

2c + 12t = 129 (equation 2)

We can use these equations to solve for c and t. One way to do this is to solve for one variable in terms of the other in one of the equations, and then substitute that expression into the other equation. For example, we can solve equation 1 for c:

5c + 3t = 39

5c = 39 - 3t

c = (39 - 3t)/5

Now we can substitute this expression for c into equation 2:

2c + 12t = 129

2[(39 - 3t)/5] + 12t = 129

Simplifying and solving for t, we get:

(78 - 6t)/5 + 12t = 129

78 - 6t + 60t = 645

54t = 567

t = 10.5

So the cost of renting one table is $10.5. We can substitute this value back into equation 1 to solve for c:

5c + 3t = 39

5c + 3(10.5) = 39

5c = 3

c = 0.6

Therefore, the cost of renting one chair is $0.6.

In summary, the cost to rent each chair is $0.6 and the cost to rent each table is $10.5.


Related Questions

Which of the following statements is TRUE if angle 4 has a measure of 127°?

If you can’t see the answer choices I apologize, but you can zoom in the photo.

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Which of the following statements is TRUE if angle 4 has a measure of 127? If you cant see the answer

Answers

Answer:

A

Step-by-step explanation:

the sum of angle 1 and angle 4 is 180

the answer is A because 53 + 127 = 180

At a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners than male runners.

Determine which of the equations could be used to solve for the amount of male runners (m) in the race and which could not. Select True or False for each statement.

At a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners

Answers

The equations that could be used to solve for the number of male runners (m) in the race are (m+75)/m = 3 / 2 and 150 + 2m = 3m. The correct options are A and B.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners than male runners.

The ratio is written as,

f/ m = 3 / 2

There are 75 more female runners than male runners.

f = m + 75

The equation can be written as,

f / m = 3 / 2

( m + 75 ) / m = 3 / 2

Or

150 + 2m = 3m

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Olivia hopes to complete 45 of the levels of her computer game by the end of the week. So far, she has completed 23 of the levels. What part of the levels must she still complete to meet her goal?

Answers

Answer:

2/15

Step-by-step explanation:

A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?

Answers

Answer:

70 cents

Step-by-step explanation:

To figure out how much 1 paper clip costs we must divide :)

5.60/800 = 70 cents

Have an amazing day!!

Please rate and mark brainliest!!

This question is asking for the unit rate so basically if you were to put this into a ratio it would look like this…. 800:5.60 1:x so to solve this you would do 5.60/800 which would get you 0.7 and in money that’s 70 cents. So 70 cents per a paper clip.

-3y-5=10 Show your work please, thank you.

Answers

Answer:

-5

Step-by-step explanation:

-3y = 10 + 5

-3y = 15

y = - 5

Answer:

hi

Step-by-step explanation:

-3y-5=10

-3y=10+5

-3y=15

y=15/ -3

y= -5

hope it helps

have a nice day

PLS HELP 50 POINTS!! ​

PLS HELP 50 POINTS!!

Answers

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect

Answers

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.

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What is the value of -x² - 4x - 11 if x = -3​

Answers

Answer:

-74 your welcome

Step-by-step explanation:

PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION

PLEASE HELP METhe function f(x) = -2(4)^x+1 +140 represents the number of tokens a child has x hours

Answers

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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A basketball player made 85 out of 100 attempted free throws. What percent of free throws was
made?

Answers

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Find the original price given a total amount of $148.80 and a tip rate of 16%.

Answers

Answer:

124.99 if i am right pls like my answer and rate it

Step-by-step explanation:

PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS

PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS

Answers

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Here is a trapezium drawn on a centimetre grid (not drawn to scale).

Work out the area of the trapezium, stating the units of your answer.

Here is a trapezium drawn on a centimetre grid (not drawn to scale).Work out the area of the trapezium,

Answers

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

pls help! :( if you get it right I’ll give brainliest!!

pls help! :( if you get it right Ill give brainliest!!

Answers

Answer:

2.3 A

Step-by-step explanation:

Its 2.3 what am I supposed to say

The awnserrrrrrrrrrrrr issssssssss aaaaaaaaaa

The cost of insurance for your car is 23% of the cost of your new car. The new car costs $20,000. What's the cost of your insurance for the first year?

$460

$920

$230

Answers

Answer:

$460

Step-by-step explanation:

Because if you put 23% over 100 and multiply it by 20,000 you should get that

HIGH SCHOOL LEVEL)
SUPER EASY I JUST AM DUMB, PLEASE HELP

HIGH SCHOOL LEVEL) SUPER EASY I JUST AM DUMB, PLEASE HELP

Answers

Answer:

C

Step-by-step explanation:

-8p-20+8p=-11

-20==-11

THERE IS NI SOLUTİON

The business college computing center wants to determine the proportion of business students who have personal computers (PCʹs) at home. If the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 200 business students were randomly sampled and 65 have PCʹs at home. Find the rejection region for this test using α = 0.01. (Note that this is a right-tailed test).
A) Reject H0 if 0 z > 2.33.
B) Reject H0 if 0 z < -2.33.
C) Reject H0 if 0 z > 2.575 or z < -2.575.
D) Reject H0 if 0 z = 2.
Find the test statistic, 0 t , to test the claim about the population mean μ < 6.7 given n = 20, x = 6.3, s = 2.0.
A) -1.233
B) -0.872
C) -1.265
D) -0.894
Determine the test statistic, 0 z , to test the claim about the population proportion p < 0.85 given n = 60 and x = 39.
A) -4.34
B) -1.96
C) -1.85
D) -1.76

Answers

Answer:

Question  5

    correct option is  A

Question 6

    correct option is  D

Question 7  

      correct option is  A  

Step-by-step explanation:

Considering question 5

From the question we are told that

     The population proportion considered is  \(p = 0.25\)

      The sample size is  n  =  200

      The number that had a personal computer at home is  \(k = 65\)

      The  level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : p = 0.25\)

The alternative hypothesis is  \(H_a : p > 0.25\)

Generally from the z-table the critical value of  \(\alpha = 0.01\)  to the right of the curve is

          \(z_{\alpha } = 2.33\)

Generally given that it is a right-tailed test , the rejection region is  

      z > 2.33

Considering question 6

  The sample size is  n = 20

  The standard deviation is  \(s = 2\)

   The sample mean is  \(\=x = 6.3\)

   The  population mean   \(\mu = 6.7\)

Generally the test statistics is mathematically represented as

          \(t = \frac{ \= x - \mu }{\frac{s}{\sqrt{n} } }\)

=>       \(t = \frac{ 6.3 - 6.7 }{ \frac{ 2}{ \sqrt{20} } }\)

=>       \(t = -0.894\)

Considering question 7

  The sample size is  n = 60

   The sample mean is  \(x = 39\)

   The  population proportion    \(p = 0.85\)

Gnerally the sample proportion is mathematically represented as  

           \(\^ p = \frac{x}{n}\)

=>       \(\^ p = \frac{39}{60}\)  

=>       \(\^ p = 0.65\)

Generally the standard error of this distribution is mathematically represented as

     \(SE = \sqrt{ \frac{ p(1 - p ) }{ n } }\)

=> \(SE = \sqrt{ \frac{ 0.85 (1 - 0.85 ) }{ 60 } }\)

=> \(SE = 0.0461\)

Generally the test statistics is mathematically represented as

          \(z = \frac{ \^ p - p }{SE}\)

=>       \(z = \frac{ 0.65 - 0.85 }{0.0461}\)

=>       \(z = -4.34\)

         

if 57.75 is after a 30% taken off then what was the original price

Answers

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Please help me thanks so much!?!?

Please help me thanks so much!?!?

Answers

Answer:

500

Step-by-step explanation:

Answer: 500. Trust me :)

PLEASE HELP ASAP

Choose the expression that is equivalent to the quantity 7 raised to the negative second power times 7 raised to the third power end quantity all raised to the negative third power.

−76
1 divided by 7 raised to the third power
negative 1 divided by 7 raised to the sixth power
718

Answers

The correct answer is therefore negative 1 divided by 7 raised to the sixth power, which is the same as 1/7^2. The other choices do not match this expression.

What is power?

The power (or exponent) of a number says how many times to use the number in multiplication. It is written as a small number to the right and above the base number.

The expression 7 raised to the negative second power times 7 raised to the third power is equivalent to 7 raised to the (negative second + third) power, which is 7 raised to the first power. This is equal to 7.

The quantity 7 raised to the first power all raised to the negative third power is equal to 7 raised to the (first + negative third) power, which is 7 raised to the negative second power.

Therefore, the expression that is equivalent to the quantity 7 raised to the negative second power times 7 raised to the third power all raised to the negative third power is 7 raised to the negative second power, which is 1/7^2 = 1/49.

Hence, The correct answer is therefore negative 1 divided by 7 raised to the sixth power, which is the same as 1/7^2. The other choices do not match this expression.

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which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82

Answers

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.



In the process, what is the total distance that Jeremy covers?

Answers

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at the same rate of interest for 12 months​

Answers

Answer:

Interest = $1.75

Step-by-step explanation:

Maria invest $600, and receives interest of $30 per year

We know that PRT/100= INTEREST

R=( 100*INTEREST)/(PT)

R = (100*30)/(600*1)

R= 3000/600

R= 5%

Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest

Interest= 350*5*1/100

Interest = $1.75

A school choir needs to make t-shirts for its 75 members. A printing company charges $2 per shirt, plus a $50 fee for each color to be printed on the shirts. Write an equation that represents the relationship between the number of t- shirts ordered, the number of colors on the shirts and the total cost of the order. If you use a variable (letter) specify what it represents. In this situation, which quantities do you think can vary (change)? Which might be fixed (stay the same)?

Answers

Let's begin by listing out the given information:

total number of members = 75

printing charge = $2 per shirt

colour print for each shirt = $50 fee for each color to be printed on the shirts

Let the number of t-shirts be represented as n

Let the number of colors on the shirts be represented as x

Let the total cost of the order be represented as C

Every member must have a t-shirt means

total number of members * printing charge + (colour print for each shirt * number of colors on the shirts) = total cost of the order

75 * 2 + 50 * x = C

150 + 50x = C

C = 50x + 150

The number of colors on the shirts (x) can vary change; if the number of colors used increases, the cost of the order increases & if the number decreases, the cost of the order decreases

The printing company charges is fixed as every member is to get a shirt

Subtract 2 from 9 times y

Answers

Answer:

9

Step-by-step explanation:

Answer:

9y-2

Step-by-step explanation:

9×y-2

9×y=9y

9y-2

10x + 2(1 + 3x) + x helppppppp

Answers

Answer:

10x + 2(1 + 3x) + x = 10x + 2 + 6x + x

= 17x + 2

BRAINLIEST and PLEASE show your work!!!!



Solve for y using the formula y = x^2(2+4); when x = 4

Answers

Answer:

y=96

Step-by-step explanation:

Important information:

y=x^2(2+4)

x=4

Explanation/Solution:

y=x^2(2+4)

y=4^2(2+4)

y=16 (2+4)

y= 16 · 6 =

y=96

Find the area of this compound shape.

Find the area of this compound shape.

Answers

Answer:

512

Step-by-step explanation:

We can break this shape into two pieces and create a square and rectangle.

We then get the area of square by multiplying 16 by 16.

We can also get the area of rectangle by doing 8 *32

Finally we add then together. 256 + 256 = 512

Answer:

512 cm2

Step-by-step explanation:

hopes that's helps

the first part of the problem asks them to calculate the work done on the gas when the gas goes from the initial state to the final state shown. here is part of their dialogue: nora: the gas is compressed because the volume decreases. that means that there is work done on the gas, and the work is positive. bob: ok. that's right because we're using the first law with q w. we need to use that area thing to find the work. nora: yeah. we want the area under the line between the dots. bob: that line shows the process, right? nora: yup, that's the one. so the area is one-half times base times height. it's the area of that triangle. bob: but you have to add the area of that skinny rectangle below it, don't you? nora: i don't think so. that bottom dot for the final state tells you where the bottom of the area is. bob: why don't we ever agree? tell you what. we'll each try our own way and let webassign tell us who's right. nora: hmmm... i hope i get the big, green check mark!

Answers

To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.

When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.

You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.

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The random variable X has a p.d.f P(X=x) foe x= 1,2 3 as shown below
E(x)=∑ XiPi
Find
i) E(x)
ii) E(3)
ii) E(x²)
iv) E(5x+3)

The random variable X has a p.d.f P(X=x) foe x= 1,2 3 as shown belowE(x)= XiPiFind i) E(x)ii) E(3)ii)

Answers

The random variable X has a pdf P(X=x) for x = 1,2,3 then,

1) E(x)= 2.2

2) E(3) = 0.9

3) E(x²) = 2.26    

4) E(5x + 3)= 14.

Probability Density Function (pdf) is a statistical expression that defines a probability distribution for a discrete random variable as opposed to a continuouse random variable.

We have given that,  

E(x) = ∑xipi

1) E(x) = ∑xipi

         = x₁p₁ + x₂p₂ + x₃p₃

         = 1(0.1) + 2(0.6) + 3(0.3)

         = 0.1 + 1.2 + 0.9

  E(x) = 2.2

2)E(3) = x₃p₃

          = 3(0.3)

   E(3) = 0.9

3) E(x²) = ∑xi²pi²

           = x₁²p₁² + x₂²p₂² + x₃²p₃²

           = 1(0.1)² + 4(0.6)² + 9(0.3)²

           = 0.01 + 1.44 + 0.81

   E(x²) = 2.26

4) E(5x + 3) = ∑5(xipi) + 3

                  = (5x₁p₁ + 5x₂p₂ + 5x₃p₃) + 3

                  = (5(0.1) + 10(0.6) + 15(0.3)) + 3

                  = 0.5 + 6 + 4.5 + 3

   E(5x + 3) = 14

Therefore the random variable X has a pdf P(X=x) for x = 1,2,3 is

E(x) = ∑xipi then E(x) = 2.2, E(3) = 0.9, E(x²) = 2.26 and E(5x + 3) = 14.

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PLEASE HELP (WILL GIVE BRAINLIEST) What does Tyrion Lannister mean by the quote "My mind is my weapon. My brother has his sword, King Robert has his Warhammer, and I have my mindand a mind needs books as a sword needs a whetstone if it is to keep its edge.Explain in proper paragraph structure. If you pull a pendulum with a mass of 7.4 kg back at an angle of 13, what is the magnitude of the restoring force on it? Why is Washington State considered a pioneer in the healthcare field? O It formed the first health maintenance organization. O It enjoys the highest life expectancy in the nation. OIt has achieved the lowest infant mortality rate in the nation. OIt created the first ambulance service in the nation. The Mass of the paper before being bumed is 50% how much mass should there be afterthe paper has burned? What is the answer to this question? NO LINKS!! Please help me with these graphs. Part 4 Which English King sponsored John Cabot's voyage? How does Bacon describe the nature of love in his essay of love? Why do Christians need to have their minds renewed why was booker t. washington often criticized by civil rights leaders such as w.e.b. dubois? What are the main themes in Beowulf? Draw a line segment AB of length 7 cm. Using only compass and straightedge, construct the circle using line segment AB as diameter. Briefly describe your steps andlabel the figure. Please help me with this translating trigonometry graphs question. Brainliest and Points Available. Aplane monochromatic electromagnetic wave with wavelength = 2.2 cm, propagates through a vacuum. its magnetic field is described bywhere bx = 3.1 x 10-6 t, by = 3.4 x 10-6 t, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.1) what is f, the frequency of this wave?2) what is i, the intensity of this wave?3) what is sz, the z-component of the poynting vector at (x = 0, y = 0, z = 0) at t = 0?4) what is ex, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0?5) Compare the sign and magnitude of Sz, the z-component of the Poynting vector at (x=y=z=t=0) of the wave described above to the sign and magnitude of SIIz, the z-component of the Poynting vector at (x=y=z=t=0) of another plane monochromatic electromagnetic wave propagating through vaccum described by: where BIIx = 5.5 X 10-6 T, BIIy = 3.4 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.siiz < 0 and magnitude(siiz) magnitude(sz)siiz < 0 and magnitude(siiz) = magnitude(sz)siiz > 0 and magnitude(siiz) magnitude(sz)siiz > 0 and magnitude(siiz) = magnitude(sz) 1. What is balance regional development? Write any four importanc of balance regional development. consider the following time series model for {y}_: Yt = Yt-1 + Et + et-1, where &t is i.i.d with mean zero and variance o2, for t = 1, ..., T. Let yo = 0. Demon- strate that yt is non-stationary unless X = -1. In your answer, clearly provide the conditions for a covariance stationary process. Hint: Apply recursive substitution to express yt in terms of current and lagged errors. ller test when testing (b) (3 marks) Briefly discuss the problem of applying the Dickey for a unit root when the model of a time series xt is given by: t = pxt-1 + Ut, where the error term ut exhibits autocorrelation. Clearly state what the null, alternative hypothesis, and the test statistics are for your test. Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?600 students300 students450 students800 students which one? Jack is planning to retire He is going to invest a large sum of money right now that he con 51500 wery year ears Ater 25 years with Interest on his investment accounts 7 14% compounded daily. How much Interest will be red stolte 3 years for you and they will much money Jack is investing right now Find the general solution of the system: X =( 4 4) x -1 0