solve equation 2(4b-6)=4(3b-7)

Answers

Answer 1

Answer:

2(4b - 6) = 4(3b - 7)

This is

8b - 12 = 12b - 28

Now,

16 = 4b

This means that b = 4 :)

Answer 2

Answer:

[tex]\boxed {b = 4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]b[/tex]:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

-Use Distributive Property:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

[tex]8b - 12 = 12b - 28[/tex]

-Take [tex]12b[/tex] and subtract it from [tex]8b[/tex]:

[tex]8b - 12 - 12b = 12b - 12b - 28[/tex]

[tex]-4b - 12 = -28[/tex]

-Add [tex]12[/tex] to both sides:

[tex]-4b - 12 + 12 = -28 + 12[/tex]

[tex]-4b = -16[/tex]

-Divide both sides by [tex]-4[/tex]:

[tex]\frac{-4b}{-4} = \frac{-16}{-4}[/tex]

[tex]\boxed {b = 4}[/tex]

So. therefore, the value of [tex]b[/tex] is [tex]4[/tex].


Related Questions

What is the term for the changes that resulted from Europeans settling in the new world?

Answers

Answer:

The Columbian Exchange. Hopefully this is right :)

Step-by-step explanation:

A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than twice the width w, and the height is 1 foot less than the width.

Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet. Your answer should be in the form of a polynomial equals a constant.

Answers

Answer:

Step-by-step explanation:

v=240

l= 2(w)-4

h=(w-1)

v= l*w*h

240=(2w-4)(w-1)w

we then foil

(2w^2 - 6w + 4) w

lastly multiply the w in

ANSWER: 2w^3 - 6w^2 + 4w = 240

how do you figure out if functions are inverses or not

Answers

Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

Step-by-step explanation:

Answer:

Well, we learned before that we can look at the graphs. Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Step-by-step explanation:

-4|6b-8|≤ 12

what is the answer?

Answers

This is probably the answer I’m not 100% sure

Use the method of your choice to determine the probability below. Being dealt three threes off the top of a standard deck of well-shuffled cards. The probability is____

Answers

The probability of being dealt three threes off the top of a standard deck of well-shuffled cards can be calculated using the following method:

Method 1: The probability of drawing the first three from a deck of 52 cards is 4/52 or 1/13, since there are four threes in a deck of 52 cards.

The probability of drawing the second three is now 3/51, as there are only three threes left in the deck of 51 cards.The probability of drawing the third three is now 2/50, since there are only two threes left in the deck of 50 cards.

So, the probability of being dealt three threes off the top of a standard deck of well-shuffled cards is:

Probability = (1/13) × (3/51) × (2/50) = 6/132600 = 1/22100

Therefore, the probability of being dealt three threes off the top of a standard deck of well-shuffled cards is 1/22100.

Method 2: Another method to calculate the probability of being dealt three threes off the top of a standard deck of well-shuffled cards is using combinations. There are a total of 52C3 ways to draw three cards from a deck of 52 cards without replacement.

Out of these, there is only one combination that has three threes. Therefore, the probability of being dealt three threes off the top of a standard deck of well-shuffled cards is:

Probability = 1/52C3 = 1/22100

Hence, the probability of being dealt three threes off the top of a standard deck of well-shuffled cards is 1/22100.

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Locate quadrilateral ABCD and quadrilateral EFGH on the coordinate plane. Use GeoGebra to identify the transformations that will map ABCD onto EFGH, and then describe them in the table. Enter the coordinates of the vertices of the images that you created. Paste a screen capture of the images below the table.

Answers

Answer:

See image attached

Step-by-step explanation:

The new coordinate of point E will be (1,1),

the new coordinate of point F will be (2,3),

the new coordinate of point G will be (-1,2),

the new coordinate of point H will be (0,1).

What is the transformation?

A transformation is the shifting of the picture for changing the shape or position of a point or a geometric figure.

Transformation is a translation of the figure by which the orientation or size of a given figure is changed without any single effect on the shape.

What is the rotation?

A rotation is one kind of translation in which the object rotates about a fixed point or axis. The direction of rotation may be either clockwise or anticlockwise.

As we know if we rotate a point of coordinate (x,y)  90° counter clockwise then the new coordinate of the point will be (-y,x).

Here the new coordinate of point A(1,-2) will be (2,1).

the new coordinate of point B(3,-1) will be (1,3).

the new coordinate of point C(2,-4) will be (4,2).

the new coordinate of point D(1,-3) will be (3,1).

As we know if we reflect the point of coordinate (x,y) about the y-axis then the new coordinate will be (-x,y).

Here the new coordinate of point A(2,1) will be (-2,1).

the new coordinate of point B(1,3) will be (-1,3).

the new coordinate of point C(4,2) will be (-4,2).

the new coordinate of point D(3,1) will be (-3,1).

As we know if we translate the point of coordinate (x,y) 3 units right then the new x coordination will be increased by 3. And the new coordinate will be (x+3,y).

Here the new coordinate of point A(-2,1) will be (1,1).

the new coordinate of point B(-1,3) will be (2,3).

the new coordinate of point C(-4,2) will be (-1,2).

the new coordinate of point D(-3,1) will be (0,1).

Therefore the final answer is attached below with a graph.

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Write a delta-epsilon proof that shows that the function f(x) = px , pER is continuous on its
domain.

Answers

The function f(x) = px, where p is a real number, is continuous on its domain by the definition of continuity, as for any ε > 0, there exists a δ > 0 such that |f(x) - f(a)| < ε whenever |x - a| < δ.

To prove that the function f(x) = px, where p is a real number, is continuous on its domain, we need to show that for any ε > 0, there exists a δ > 0 such that |f(x) - f(a)| < ε whenever |x - a| < δ.

Let's proceed with the delta-epsilon proof:

Given a value of ε > 0, we need to find a corresponding δ > 0. Let's choose δ = ε/|p|. Note that δ will be positive as ε and |p| are both positive.

Now, consider any two points x and a such that |x - a| < δ. We want to show that |f(x) - f(a)| < ε.

Using the definition of f(x) = px, we can calculate:

|f(x) - f(a)| = |px - pa| = |p(x - a)|

Since |x - a| < δ, we know that |x - a| < ε/|p|. Multiplying both sides by |p| gives:

|p(x - a)| < |p| * (ε/|p|)

The |p| terms cancel out:

|p(x - a)| < ε

Since ε > 0, |p(x - a)| < ε implies that |f(x) - f(a)| < ε.

Therefore, for any ε > 0, we have found a δ = ε/|p| such that |f(x) - f(a)| < ε whenever |x - a| < δ. This satisfies the definition of continuity.

Hence, we have proven that the function f(x) = px, where p is a real number, is continuous on its domain.

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Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y.


Weeks, x
Dollars in account, y
4
74
6
86
9
104
11
116

Which linear equation represents Catherine’s situation?
y = one-sixth x + 70
y = 6 x + 50
y = StartFraction 1 Over 9 EndFraction x + 104
y = 11 x + 116

Answers

Answer:

b y=6x+50

Step-by-step explanation:

i got it right hope this helps

Answer:

B-y = 6 x + 50

Step-by-step explanation:

–5(–2) = WILL GIVE 20 POINTS

Answers

Answer:

10

Step-by-step explanation:

-5 (-2) = 10

Given f(x)=2x+1, find the domain value if the range is 4

Answers

5 = 2x - 1  

+1       +1  

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

2x = 4  

--     --  

2      2

x = 2. Then the domain point is x = 2 when y = 5. So, the domain point is (2,5).

7 + 5v − 0 + 2v − 1 = ______

Answers

7 + 5v - 0 + 2v - 1
5v + 2v + 7 - 1 - 0
7v + 6 (Answer)

Tony notes that an electronics store is offering a flat $20 off all prices in the store. Tony reasons that if he wants to buy something with a price of $50, then it is a good offer, but if he wants to buy something with a price of $500, then it is not a good offer. This is an example of: inconsistent reasoning; saving $20 is saving $20. the proper application of the Cost-Benefit Principle. inconsistent reasoning because prices are sunk costs. rational choice because saving 40% is better than saving 4%.

Answers

Answer: inconsistent reasoning; saving $20 is saving $20

Step-by-step explanation: Tony's reasoning would be deemed as being inconsistent because the discount offered on sale of items isn't based on proportion rather it is based on a specified amount. Tony is basing is judgement on percentage rather the specified discount amount on product. Hence, thinking the offer isn't good when buying more expensive product is erroneous as the offer isnt based on proportion and the same specified amount is saved across all items purchased.

simplify the expression:
2 (-2 - 4r) =

Answers

Answer:

-8r-4

Step-by-step explanation:

2(-2-4r)=?

2(-2)= -4

2(-4r)= -8r

2(-2-4r)=-8r-4

Answer:

brainliest plssssssss

Step-by-step explanation:

2(−2−4r)

=(2)(−2+−4r)

=(2)(−2)+(2)(−4r)

=−4−8r

=−8r−4

Use set theoretic or vector notation or both to describe the points that lie in the given configurations
v = (1,−1, 2)+t(2, 3, 1) satisfies the equation 5x −3y −z −6 = 0.

Answers

To describe the points that satisfy the given equation and configuration, we can use set-theoretic and vector notation.

Set-theoretic notation:

Let A be the set of points that satisfy the equation 5x - 3y - z - 6 = 0 and lie on the line defined by the vector v = (1, -1, 2) + t(2, 3, 1), where t is a real number.

A = {(x, y, z) | 5x - 3y - z - 6 = 0, and there exists t ∈ ℝ such that (x, y, z) = (1, -1, 2) + t(2, 3, 1)}

Vector notation:

Let v0 = (1, -1, 2) be the initial point on the line, and let d = (2, 3, 1) be the direction vector of the line.

The set of points that satisfy the equation and lie on the line can be represented as:

A = {v0 + t * d | 5(v0 + t * d) - 3y - z - 6 = 0, t ∈ ℝ}

In this notation, v0 represents the initial point on the line, t is a scalar parameter, and d represents the direction vector of the line.

Both notations describe the same set of points that satisfy the equation and lie on the given configuration.

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2 units down
2) reflection across the x-axis
1).
)
A) J\(-2,-4), K (2, -1), L (2,-5)
B) K(5,0), L(5, 4), J'(1,3)
C) K (5,-2), L'(5,2), J'(1, 1)
D) J'(-1,3), K (-5,0), L'(-5, 4)

D

Answers

Answer:

A

Step-by-step explanation:

Will mark brainliest!
Plz help

Answers

Answer:

x = 6

Step-by-step explanation:

Answer:

this is technically not a function, but y<15

Step-by-step explanation:

Which diagram shows lines that must be parallel lines cut by a transversal?

Answers

Answer:

2nd diagram

Step-by-step explanation:

2nd diagram shows lines that must be parallel lines cut by a transversal.

In the second diagram, line m is transversal of lines r and s, which is making corresponding angles of 91°.

So, line r || line s.

The diagram that represent the lines where it must be parallel lines cut by a transversal should be considered 2nd diagram.

What is transversal?

In terms of geometry, a transversal refer to the line that passes via two lines in the similar plane at two different points. Transversals play a vital role in creating whether two or more other lines should be considered  in the Euclidean plane are parallel.

Hence, The diagram that represent the lines where it must be parallel lines cut by a transversal should be considered 2nd diagram.

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Consider the following statement: If 4x = 8, then x = 2. What is the inverse of the statement? If 4x ≠ 8, then x ≠ 2. If x = 2, then 4x = 8. If 4x = 8, then x = 2. If x ≠ 2, then 4x ≠ 8.

Answers

Answer:

If x = 2, then 4x = 8

Step-by-step explanation:

In mathematics, an inverse function or statement can be described as a function or statement which reverses another function or statement.

In the question, we are given:

If 4x = 8, then x = 2

That is, x = 2 is obtained by solving fo x from 4x = 8 as follows:

4x = 8

x = 8 / 4

x = 2

From the options given, on the statement "if x = 2, then 4x = 8" reverses the statement "if 4x = 8, then x = 2". This is because x = 2 now comes first before 4x = 8 as against what obtained initially where 4x = 8 comes first before x = 2.

Therefore, the correct option is "If x = 2, then 4x = 8".

Answer:

So if x would equil 2, then (4x) = 8

Step-by-step explanation:

Because

5.
Five students each write an equation.
Student 1
y=-3x + x?
Student 2
7x
10
Student 3
y = 4(2 - x)
Student 4
y =
(x - 1)
Student 5
y =
Which two students write an equation of a nonlinear function?
A Student 1
B
Student 2
C Student 3
D
Student 4
E
Student 5

Answers

student 2 and student 5

HELP PLEASE 80 POINTS
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation. 4(px 1)=64 The value of x in terms of p is . The value of x when p is -5 is .

Answers

Answer:

x = 15/px = -3

Step-by-step explanation:

Given4(px + 1)=64FindSolve for xFind x when p = -5Solution4(px + 1) = 644(px + 1)/4 = 64/4px + 1 = 16px = 15x = 15/p

When p = -5, substitute p:

x = 15/px = 15/(-5) = -3

Answer:

x = 15       px = -3

Step-by-step explanation:

given equation: 4(px + 1) = 64

find

value of x in terms of p

let p = -5

4 (px + 1) = 64

4px + 4 = 64

x = 64 - 4

        4p

x = 15

      p

plugin the given value of p = -5

x = 15

     -5

x = -3

For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation.
(a) A situation where everyone is playing a dominant strategy must be a Nash equilibrium.
(b) In a Nash equilibrium, everyone must be playing a dominant strategy.
(c) A two-person game in which each person has access to only two possible strategies will have at most one Nash equilibrium.
(d) In the following game, there exists only one pure-strategy equilibrium.
(e) In the following game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) (i.e., plays both strategies with equal probability) then player 1 strictly prefers playing (1/2∘H,1/2∘ T ) to playing either H or T with probability 1.

Answers

(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium.

(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy.

(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium.

(d) True. Without specific details about the game provided,

(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T)

(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium. A Nash equilibrium occurs when no player can unilaterally change their strategy to improve their own payoff, regardless of what other players do. It is possible for a situation with dominant strategies for each player to result in a Nash equilibrium, but it is not a guarantee.

(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy. A Nash equilibrium simply represents a stable outcome where no player has an incentive to deviate from their chosen strategy given the strategies chosen by others. Players could be playing non-dominant strategies and still reach a Nash equilibrium.

(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium. The number of Nash equilibria is not solely determined by the number of strategies available to each player but also depends on the payoffs and interactions between the strategies chosen by each player.

(d) True. Without specific details about the game provided, we cannot definitively determine if there exists only one pure-strategy equilibrium. However, if it is stated that there is only one pure-strategy equilibrium, then the statement would be true.

(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) with equal probability, player 1 does not strictly prefer playing (1/2∘H,1/2∘T) over playing either H or T with probability 1. Player 1's preferred strategy would depend on their own payoffs and the corresponding payoffs associated with the opponent's strategies. Without additional information about the payoffs in the game, we cannot make a definitive judgment on player 1's preferences.

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Nicole tutors English. For each hour that she tutors, she earns 50 dollars,
Let E be her earnings (in dollars) after tutoring for H hours,
Write an equation relating E to H. Then use this equation to find Nicole's earnings after tutoring for 15 hours,
Equation: 10
Nicole's earnings for 15 hours: [] dollars

Answers

Answer:

750 dollars

Step-by-step explanation:

If you multiply 15 by 50, you get 750. E × H = 750

Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?

Answers

Answer:

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

Answer:

Gratuity of $180 I would multiply the actual repair cost without including tax to determine the gratuity. So just multiply $1200 by 0.15 getting $180. As an suggestion, calculating 15% in your head is actually quite simple. What you do is calculate 10%, divide that in half, then add together. So for the $1200 example, you have 1200/10 = 120 half of 120 is 60 120 + 60 = 180 So you have a top of $180.

Step-by-step explanation:

Part 1 out of 2 Select the word problem that can be modeled by the addition of two negative numbers. A Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? B Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions? C Polly bought a cracker for $4 and then bought a parrot for $2. By how much did Polly's account change after her transactions? D Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?

Answers

Answer: C Polly bought a cracker for $4 and then bought a parrot for $2

-$6

Step-by-step explanation:

Word problem which can be modeled by the addition of two negative numbers :

Option A:

Selling or making a sales will yield a positive value

OptionB:

Purchasing is negative, however, reselling is positive

OptionC:

Purchasing a cracker (c) for $4 = - 4

Purchasing a parrot (p) for $2 = - 2

Hence, both are negative

c + p

-4 + (-2)

= - $6

Option D:

Selling is positive ; purchasing is negative

The Ladybugs are coming to town for a concert. There is such excitement that the concert hall has set up six lines at the box office. Interestingly, the first line is very very long, but the second line has one person more than the first line, and the third line has one more person than the second line and so on, Each of the other line has one more person than the one before it. Altogether, there are 327 people in all six lines. How many people are in each of the six lines?

Answers

Answer:34

Step-by-step explanation:

what is PEMDAS? and how do you use it?

Answers

Answer:

please excuse my dear aunt sally

Step-by-step explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.

PEMDAS stands for Parentheses, Exponents, Multiply, Divide, Add, and Subtract.

How to use it?

Well, if you have a problem like:

19 + 4 x 3.

If someone didn't know the rule of PEMDAS, they would start from the beginning of the problem, but no.

If you follow the rule, MULTIPLYING comes before ADDING. So you need to solve whatever comes first in PEMDAS.

4 x 3 = 12, then plus 19 = 31

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The total land area on Earth is about 6 × 107 square miles. The land area of Australia is about 3 × 106 square miles. About how many times larger is the land area on Earth than the land area of Australia?

Answers

The answer is 2,why I have no idea I’m just smart you’re welcome

HEY CAN ANYONE ANSWER DIS!!

Answers

Answer:

Option C

Step-by-step explanation:

From the table we can see that

The rate of change is (slope)

$90 - $65 = $25

Zero point (y-intercept) considering same rate is

$65 - $25 = $40

The rule for the total cost is:

y = mx + by = 25x + 40

Correct option is C

Hellllppppppeee pleaseeee!!!!!!

Answers

Answer:

Scale Factor = 2

Step-by-step explanation:

ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.

4√5+5√5 is equal to ?
A)9√5
B)9√10
C) 5√10
D) 7√5​

Answers

it is equal to is A) 9√5

Answer:

B is the correct answer.

Other Questions
On January 1, 2023, Hill View Furniture purchased 25% of Sunny Upholstery, Inc. The stock purchase will allow Hill View to have significant influence over Sunny Upholstery. Hill View paid $500,000 cash for the Sunny Upholstery stock. On January 1, 2023, Sunny Upholstery's book value was $1,500,000. Sunny Upholstery's buildings are worth $200,000 more than book value and equipment was worth $100,000 more than book value. On August 1, 2023, Sunny Upholstery paid a dividend of $100,000 to shareholders. At December 31, 2023, Sunny Upholstery reported a Net Loss of $50,000. The remaining useful life of Sunny Upholstery's buildings is 15 years, and the remaining useful life of equipment is 5 years.REQUIRED: Prepare the following entries for Hill View Furniture.1-1 Prepare the journal entry to record the purchase of Sunny Upholstery stock.1-2 Prepare the journal entry to record the dividend receipt on August 1, 2023.1-3 Prepare all 2023 year-end journal entries. Einstein considered Gandhi the greatest political genius of our time because Gandhi [This case based on a PMI case]. Recently, PPC hired Bruce, who is a young and ambitious junior project manager in your department. This is his second job since he graduated from Auckland University a few years back. Some colleagues soon like Bruce, others not so. Your more experienced colleague Sourav is uncomfortable with what Bruce listed as accomplishments on his rsum and had questioned his level of experience. After a few months, it became evident that James was significantly more immature than his peers. He talked over people and shouted them down, turning every meeting into a battleground. He soon alienated part of the team. Sourav comes from a different cultural background, and found Bruces behaviour highly disturbing. On the other hand, Bruce seemed to do his job adequately, if not very well, and seemed to have the full support of the Operations Director. After a particularly difficult meeting with representative from one of the e-tailers, Sourav overheard Bruce disparaging another project manager who had challenged him. Soon, rumours about that project manager were flying around and Sourav had the impression these rumours all began with Bruce. The atmosphere in the office was changing and Sourav perceived a higher level of competition and conflict among peers, but Bruce had his supporters. Although Sourav was not directly involved in his projects, he started taking a closer look at Bruces job. He noticed that when Bruce met with PPC directors, he regularly took credit for his teams work. He did work late and put in some hours on weekends, but Sourav was convinced that he was grossly exaggerating his effort and, moreover, there was no evidence that his projects benefited from all the extra hours. We see an Ethical Dilemma: What is Sourav s position as Bruces peer? And, as a more senior project manager in the company? Should Sourav look more closely into Bruces projects? What could happen if he approaches the Operations Director about the problem? What will happen if he does not say anything? Pr 4: Assignment: Introduce your report and motivate your selected decision-making model. Motivate. (2 Marks) List the facts you consider relevant to clarify the situation. (3 Marks) List the alternative options for taking action that you consider significant and prioritize one. (2 Marks) Describe the impacts your choice may have. (3 Marks) List questions that you find essential to recognize and assess the ethical dilemma, even if the question is not listed in the PMI Decision Making Framework or in the PPT slides of one of the weekly lectures. (2 marks). Present this assignment as a brief and confidential report to the Operations Manager. Use max 300 500 words main text. Additionally, provide a well-written management summary of 50 - 70 words. Put other stuff in Appendices. Lysomal enzymes. How they are created, steps and organelles involved FIND THE FACTORS32d4+8d best describes the Israelites? * You have $3,000 to invest today, and similar investments earn a 6% interest rate compounded quarterly. How much interest will you earn if you invest your money for eight years? A. $1,781.54 B. $1,830.97 C. $4,830.97 D. None of the above Tax System Structures: 5. What kind of tax structure(s) is the sales tax - proportional, regressive, or progressive? In sufficient detail, explain your reasoning below. (Be sure to use appropriate ter Which of the following is an example of selling expenses found on a retailer's income statement?Select one: a. Sales salaries, wages, and commissions b. Advertising and promotion C. Depreciation for assets used in the sales outlets d. All of the answers are correct le lle Open Economy-Two Large country problem USA Initial Conditions C-310+0.4(Y-T) - 200 -120-200 Y-1000 T-200 G-275 China Initial Conditions C, 480 + 4Y, - Tr - 300 1%, -255-300 Y-1500. T-300 Gy=300 a) (5 points) What is the equilibrium real interest rate that clears the international goods market? Show all work. b) (5 points) Compare the level of absorption in each country to the income generated in each country. Is the US spending beyond its means? Is China the lender? Explain using real numbers! Draw two diagrams side by side, with the USA on the left and China country on right. Locate this initial equilibrium as points A on both diagrams (there are four point A's, two on each diagram). Be sure to label diagrams completely labeling the trade deficit/surplus on each graph, etc. (10 points for correct and completely labeled diagram) c) (5 points) Now let the US conduct expansionary fiscal policy so that Grises by 300 to 575. We assume that the government spending multiplier (AY/AG) is 1.5, consistent with the multiplier estimated by the White House economists. Re-calculate the new equilibrium real interest rate that clears the international goods market and the associated new levels of desired savings and investment for each country and label these new equilibrium points on your existing diagram as point B. Please show all work d) (5 points) What has happened to the US's trade balance and why? e) (5 points) Are these results consistent with the US going to AA, the proposition put forth by Fareed-Zakaria in the Colbert clip? Why or why not? f) (10 points) Explain what would happen to the trade balance for the US if China experiences a recession (.e., China's output falls), all else constant. Please be specific as to what would happen to US absorption and why. Note, this discussion is worth 10 points. Feel free to support your answer with a diagram or two. In "Aesop's Life" and the Newsela article "Storytelling and Cultural Traditions," the authors inform the reader about the tradition of storytelling.Which statement best explains how this is accomplished in both texts?Both passages include actual excerpts from fables that are good examples of oral traditions.Both passages contain detailed information about storytelling traditions of several different countries.Both authors give background information about a very famous storyteller and his popular fables.Both authors discuss the importance that storytellers played in their culture. Why did early humans begin to set up permanent villages?A. They had to protect themselves from flooding rivers.B. They started to farm crops for the first time.O C. They could no longer find animals to hunt for food.D. They were unable to gather plants due to changing weather. For every debit entry there must be a credit entryFor every debit entry there must be a creditentry.A.Principle of entityB.Principle of double entryC.Principle of historical costD.Principle of 11. "A mind is like a parachute. It doesn't work if it is not open".-Frank Zappa *1 pointmetaphoralliterationallusionsimileplease help!! Read the excerpt from Albert Schweitzer: A Life of Service and Sacrifice.During their second year in Africa, a setback occurred. World War I had begun, and France and Germany were now enemies. As Germans working in a French colony, Albert and Helene were regarded as possible spies. The two were captured and sent to France as prisoners of war.According to the excerpt, what occurred as a result of World War I?A. Albert and Helene became spies for Germany.B. Albert and Helene worked in a French colony.C. Albert and Helene became enemies of the French.D. Albert and Helene were imprisoned by the French. Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake View Winery. The company estimates that 140 hours will be required to complete the project. The firm's three graphic designers available for assignment to this project are Lisa, a senior designer and team leader; David, a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects for Lake View Winery, management specified that Lisa must be assigned at least 40% of the total number of hours assigned to the two senior designers. To provide label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers. Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $25 for David, and $18 for Sarah. (a) Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize total cost (in dollars). (Assume L is the number of hours Lisa is assigned to the project, D is the number of hours David is assigned to the project, and S is the number of hours Sarah is assigned to the project.) Min ____s.t. Minimum Lisa____Minimum Sarah ___Maximum Lisa____Maximum Sarah Total Time:____L, D, S >= 0 (b) How many hours should be assigned to each graphic designer? Lisa's Hours ______hours David's Hours: _____hours Sarah's Hours ______hoursWhat is the total cost (in dollars)? $ _____ (c) Suppose Lisa could be assigned more than 50 hours. What effect would this have on the optimal solution? Explain. since the constraint is -Select-. Therefore, additional hours for Lisa. The shadow price for this constraint is --Select- change the solution. (d) If Sarah were not required to work a minimum number of hours on this project, would the optimal solution change? Explain. since the constraint is-Select-. Therefore, assigning fewer hours to The shadow price for this constraint is. Sarah -Select- change the solution. In Lochner v. New York, the Supreme Court ruled against a 10-hour workday law for bakers, saying that states could nota.deprive businesses of property without due process of law.b.restrict the rights of employers and workers to sign any type of labor agreement.c.allow master and employee to contract with each other. Hiro is shopping at Bill's Market when he steps on a banana which had fallen in the produce aisle. The banan a peel looks dry, and black. Hiro suffers an injury to his hip and spine. He sues Bill's Market for negligence. What result? a. He will likely lose because this is nonfeasance b. He will prevail if the jury finds the peel was on the floor for an unreasonable amount of time c. He will likely prevail if the jury finds there was a duty d. He will likely lose because there is no special relationship Ryan is a championship swimmer. He sees Michael drowning in an isolated pond. Ryan jumps in to save Michael, swims halfway, then realizes the water is very cold and changes his mind. Michael drowns. Is Ryan liable? a. Yes, once assumed a duty cannot be abandoned b. No, this is nonfeasance c. Yes, because he is a championship swimmer d. No, because there is no special relationship A duty may arise in all the following circumstances except: a. Special relationship b. Creation of risk c. Moral duty d. Duty imposed by statute Little's law is being used to calculate the required number of staff for an operation. The workcontent to produce a single 'item' has been measured as 45 minutes, and the company requires 8'items' completed every hour. How many staff are required? What are the three foundational values used to identifyethical issues and why are they important? Explain them in detailin your own words. [ Answer enough to cover 5 marks ]