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While gdp is a measure of total output for a nation, _______ is a measure of what is produced by americans throughout the world?

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Answered by answersmine AT 22/10/2019 – 02:27 AM

The answer is Gross National Income or GNI. It is the overall product and services earnings of people inside and outside the country, including businesses. Thus, the overseas earnings of Americans all over the world is also a part of GNI. 

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function has the function rule y = -7x – 2. If the input is -4, what is the output?

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Plug in the input to the equation and you will get x=26


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What is the range of the function f(x) = 3×2 + 6x – 9

I have a solution here however with a slight change in the equation:

 f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers–there are no restrictions like a square root or variable in the denominator 

this is a U shape parabola and you want to find the bottom point, it is at the vertex 

x=-b/2a =- (-6) /2 (3) =1 
f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 
the minimum is (1, -2) 
so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!

Posted in Mathematics

Solve the equation for y 2x+6y=13

So here is how we are going to solve for y for the given equation above:
2x+6y=13
Next, transfer 2x to the right side and it will look like this:
6y=13-2x
Now, divide both sides by 6, and it will look like this:
y=13-2x
    ——–
       6
So, this is the final answer for y.
Hope this answers your question. Have a great day!

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The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution? A.4-3i B.3-4i C.4+3i D.-3+4i

The way you stated the problem, there is an infinity of possibilities for the other solution. 

► For instance, the quadratic equation: 
   x² – (6 + 4i)x + (9 + 12i) = 0 
has for discriminant: 
   Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i 
   x₂ = [(6 + 4i) – 4i]/2 = 3 
And the other solution here is 3. 

► If you are not convinced, the quadratic equation: 
   x² – (6 + 5i)x + (5 + 15i) = 0 
has for discriminant: 
   Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i 
   x₂ = [(6 + 5i) – 3i]/2 = 3 + i 
And the other solution here is 3+i. 

► In fact, every quadratic equation of the form: 
   x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0 
where α is any real, has for discriminant: 
   Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi) 
      = 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i 
      = 16α – (4 + α)² 
      = 16α – 16 – 8α – α² 
      = -16 + 8α – α² 
      = -(α – 4)² 
WILL be negative. 
Their solutions will then be: 
   x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i 
   x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi 
And the other solution will then be is 3+αi. 

Since α can take any real value, you’ll obtain an infinity of solutions of the form 3+αi. 

► So conclusively: 
If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3. 

Posted in Mathematics

Each set of ordered pairs represents a function. Write a rule that represents the function. 1. (0,0),(1,4),(2,16),(3,36),(4,64) 2. (0,0),(1,0.5),(2,2),(3,4.5),(4,8)

My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

y=4x2

second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2

I hope my answer has come to your help. God bless and have a nice day ahead!

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Solve for x. round to nearest tenth if needed. 1. 7r-7=2r+18 a.r=-5 b.r=5 c.r=2.2 d.r=1.2 2. 2x+12=18-x a.x=3 b.x=10 c.x=6 d.x=2 3. 8x-3=15x+18 a.x=-3 b.x=3 c.x=2.1 d.x=0.9 4. 6y-6=4y+16 a.y=2.2 b.y=-2.2 c.y=11 d.y=5 5. 3(x-4)=5(x+2) a.x=11 b.x=-11 c.x=1 d.x=-1

1)  The answer is: [B]: r = 5 .
__________________________
Explanation:
__________________________ 
Given: 7r − 7 = 2r + 18 ; Round your answer to the nearest tenth, if necessary.
____________________________
Since “r” is the only variable given, let us assume we want to solve for “r” (instead of “x”).
___________________________
→ Subtract “2r” from EACH SIDE of the equation; and & add “7” to EACH SIDE of the equation:
_____________
→ 7r − 7 − 2r + 7 = 2r + 18 − 2r + 7 ;  to get: → 5r = 25 ;
_____________
→ Now, divide EACH SIDE of the equation by “5”; to isolate “r” on one side of the equation; and to solve for “r” :
______________
→ 5r / 5 = 25 / 5 → r = 5 → which is: “Answer choice: [B]”.
_________________
Let us check our answer, by plugging in “5” for “r” in the original equation:
_________________
 → 7r − 7 = 2r + 18 ;  →  7(5) − 7 =? 2(5) + 18? ;
______________________
→ 35 − 7 =? 10 + 18 ?;     → 28 =? 28? Yes!
______________________
 2) The answer is: [D]: x = 2 .
_____________
Explanation: 
_____________
Given: 2x + 12 = 18 − x ; Solve for “x” (round to nearest tenth, if necessary).
_______________
→ Add “x” to EACH SIDE of the equation, & subtract “12” from EACH SIDE of the equation:  → 2x + 12 + x − 12 = 18 − x + x − 12 ; 
______________
→ To get: 3x = 6 ;  → Divide EACH SIDE of the equation by “3”;
to isolate “x” on one side of the equation; and to solve for “x”:
_____________
→ 3x / 3 = 6 / 3 ; → x = 2 ; which is: “Answer choice: [D]”.
______________
Let us check our answer, by plugging in “2” for “x” in the original equation:
________________
→ 2x + 12 = 18 − x ; → 2(2) + 12 =? 18 − 2 ?
________________
→ 4 + 12 =? 18 − 2 ? ;   → 16 =? 16?  Yes!
________________________________
3)  The answer is: [A]: x = -3 . 
_____________
Explanation:
________________
Given:  8x − 3 = 15x + 18 ; Solve for “x”. Round your answer to the nearest tenth, if necessary.
_________________
→ Subtract “8x” from EACH SIDE of the equation, & add “3” to EACH SIDE of the equation:
_______________
→ 8x − 3 − 8x + 3 = 15x + 18 − 8x + 3 ; to get:
_______________
→ 0 = 7x + 21 ; → Subtract “21” from EACH SIDE of the equation;
_______________
→ 0 − 21 = 7x + 21 − 21 ; to get:
_______________
→  -21 = 7x ; Now divide EACH SIDE of the equation by “7”;
    to isolate “x” on one side of the equation; & to solve for “x”:
_______________
→ = -21 / 7 = 7x / 7 ; →  -3 = x ; which is “Answer choice: [A].”
_________________
Let us check our answer, by plugging in “-3” for “x” in the original equation:
________________
→  8x − 3 = 15x + 18 ;  → 8(-3) − 3 =?  15(-3) + 18 ?;
________________________
→ -24 − 3 =?  -45 + 18 ? ;   →  -27 =? -27?  Yes!
___________________________
4)  The answer is: [C]: y = 11 .
_____________
Explanation:
____________
Given: 6y − 6 = 4y + 16 ; Solve for “y”; Round to the nearest tenth, if necessary.
____________
(Note: Since “y” is the only variable given; assume we are to solve for “y” instead of “x”).
____________
→ Subtract “4y” from EACH SIDE of the equation, & add “6” to EACH SIDE of the equation; → 6y − 6 − 4y + 6 = 4y + 16 − 4y + 6 ; to get:
_______________
→ 2y  = 22 ; Now, divide EACH SIDE of the equation by “2”; to isolate “y” one side of the equation; and to solve for “y” ;
_______________
→ 2y / 2 = 22 / 2 ; →  y = 11 → which is “Answer choice: [C]”.
_______________________________
Let us check our answer, by plugging in “11” for “y” in the original equation:
___________________
→  6y − 6 = 4y + 16 ; → 6(11) − 6 =? 4(11) + 16 ?
_______________________
→ 66 − 6  =? 44 + 16 ?  → 60 =? 60 ?  Yes!
__________________
5)  The answer is: [B]: x = -11 .
_____________________
Explanation:
_________________
Given: 3(x − 4) = 5(x + 2) ; Solve for “x”. Round to the nearest tenth, if necessary.
___________
→Note the “distributive property of multiplication”: 
_____________
a*(b + c) = ab + ac ;  and: a*(b − c) = ab − ac ;
_______________
→ Let us expand EACH SIDE of our given equation.
→Start with the “left-hand side”:
____________
3(x − 4) = (3*x)  − (3*4) = 3x − 12;
______________________________
→Now let us expand the “right-hand side” of the given equation:
____________
→  5(x + 2) = (5*x) + (5*2) = 5x + 10 ;
______________
→Now, we can rewrite the original equation:
_______________
→ 3(x − 4) = 5(x + 2) ; by substituting the expanded values for EACH SIDE of the question:   →  3x − 12 = 5x + 10 ;
__________________
→ Subtract “3x” from EACH SIDE of the equation; and add “12” to EACH SIDE of the equation: →  3x − 12 − 3x + 12 = 5x + 10 − 3x + 12 ; to get:
________________
→  0 = 2x + 22;  → Now subtract “22” from EACH SIDE of the equation:
______________
→  0 − 22 = 2x + 22 − 22 ; to get:  →  -22 = 2x ;
__________
→ Divide EACH SIDE of the equation by “2”; to isolate “x” on one side of the equation; & to solve for “x” ;
_____________
→  -22 / 2 = 2x /2 ;  →  -11 = x ; which is “Answer choice: [B]”.
______________
Let us check our answer, by plugging in “-11” for “x” in the original equation:
___________
→ 3(x − 4) = 5(x + 2) ; →  3(-11 − 4) =? 5(-11 + 2) ? ; 
_______________________
→3(-15) =? 5(-9) ? ; → -45 =? -45 ?  Yes!
_____________________________________________
Hope these answers and explanations are helpful. Best of luck!

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Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’? (x, y)→(x – 8, y – 7) (x, y)→(x – 7, x – 8) (x, y)→(x – 4, x – 5) (x, y)→(x – 5, y – 4)

Correct answer is A.

Each vertex of the hexagon is translated 8 units left and 7 units down. So, the x-coordinate is 8 units smaller (x – 8), and the y-coordinate is 7 units smaller (y – 7).

Therefore (x, y) → (x – 8, y -7)

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Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

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Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

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It is evident that the nation is experiencing a recessionary gap when potential output is less than aggregate output. potential output is decreasing at a rate greater than aggregate output is increasing potential output is decreasing. aggregate output is less than potential output. aggregate output is greater than potential output.

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Answered by answersmine AT 22/10/2019 – 04:27 AM

A recessionary gap is condition wherein the economy is operating below the full capacity of its employment level. An indication that an economy is experiencing a recessionary gap is when 
aggregate output is less than potential output
The answer is the 4th option.

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According to the definition of profit, if a profit-maximizing firm will always attempt to produce its desired level of output at the lowest possible cost, then it will

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Answered by answersmine AT 22/10/2019 – 04:27 AM

If a profit maximizing company firm will always attempt to produce its desired level of output at the lowest possible cost, then it will TAKE A LONG RUN PERSPECTIVE ON COSTS WHEN SUCH COST CAN NOT BE ADJUSTED. Profit maximization refers to the strategies which companies use to increase their profits. A profit maximizing company usually try its possible to produce efficiently at the lowest possible costs, this is the principal goal of the company and it determine the manner in which the company manage costs.

Post your answer

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Programmers employ the acronym ____ to mean that if your input is incorrect, your output is worthless.

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When making an email for professional purposes, it is important to make one that uses your full name as a username, if possible. However, common names might face difficulties since other people might have already taken the username. In this case, you can abbreviate your name, or include numbers behind it.

The best answer, thus, based on this, would be (D) alison.s-yahoo.com.

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When the function f(x) =4x-2 is evaluated for x=3 the output isA. 4B. 6 C. 16D. None of these choices

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Answer:

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

C(x)=0.8x^2-256x+25939

We have to find the number of copy machines for  minimize the unit  cost

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

frac{mathrm{d}C}{mathrm{d}x}=1.6x-256 ……(equation I)

To find the value of x then we susbtitute frac{mathrm{d}C}{mathrm{d}x} is equal to zero

frac{mathrm{d}C}{mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=frac{256}{1.6}

By using division property of equality

x= 160

Again differentiate the equation I with respect to x then we get

frac{mathrm{d}^2 C}{mathrm{d}^2 x}=1.6 >0

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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What type of gate does this input-output table correspond to? Input: Output: A B ? 0 1 1 0 0 0 1 0 1 1 1 1

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Answer:

Tables 1 and 5 are equal.

Step-by-step explanation:

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

   I                 -0.5

   2               -0.5

   3               -0.5

   4                 1

   5                -0.5

Table 4 is eliminatednow.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

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Choose the answer which best explains how vasoconstriction can cause increased blood pressure. choose the answer which best explains how vasoconstriction can cause increased blood pressure. vasoconstriction increases peripheral resistance (also called vascular resistance). vasoconstriction decreases cardiac output. vasoconstriction increases cardiac output. vasoconstriction decreases peripheral resistance (also called vascular resistance).

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There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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In the _________, if profits are not possible, the perfectly competitive firm will seek out the quantity of output where _____________________ .

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The following equation of parabola is given:

p(x)= – 5 x^2 + 240 x – 2475

where p(x) = y

This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = – 5 x^2 + 240 x – 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 – 48 x + 495 + _) – (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48        therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

The company should make 24 tables per day to attain maximum
profit.

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___________ efficiency is gaining the most output with a given amount of input, but not relating output to consumer utility.

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Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(16,950−4,200)÷6
=2,125 per year

Book value after 3 years
=16,950−2,125×3
=10,575

Now find the amount of depreciation to be charged against the equipment during each of the remaining years of its useful life
Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(10,575−1,695)÷3
=2,960

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A howler monkey is the loudest land animal and, under some circumstances, can be heard up to a distance of 4.6 km. assume the acoustic output of a howler to be uniform in all directions and that the threshold of hearing is 1.0 × 10-12 w/m2. what is the acoustic power emitted by the howler?

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Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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Which of the tables represents a function? Table A Input Output 4 3 3 2 3 1 Table B Input Output 1 3 3 5 5 7 Table C Input Output 0 0 1 4 1 5 Table D Input Output 4 1 4 2 4 3 Table A Table B Table C Table D

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Answer:

The graph representing the solution is given below.

Step-by-step explanation:

We are given the system of inequality is,

2x + 5yleq  9

3x + 5y leq  9

Zero Test states that,

‘After substituting the point (0,0) in the inequalities, if the result is true, then the solution region id towards the origin. If the result is false, the solution region is away from the origin’.

So, upon substituting (0,0) in the given inequalities, we get,

2x + 5yleq  9 implies 0≤ 9, which is true.

3x + 5y leq  9 implies 0≤ 9, which is true.

Thus, the solution region for both the inequalities is towards the origin.

Hence, upon plotting, the graph representing the solution set is given below.

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Caterpillar announced plans to cut its production of construction equipment due to forecasted increases in steel prices. by discovering the problem with product inputs and letting customers know that its output will fall short, caterpillar used ____ controls.

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The answer is:

-Lower price for bracelets

-Better quality bracelets

-Improved customer service

When more sellers exist, they would be forced to compete with one another in order to win over the consumers in the market.

Because of this competition, each sellers become more likely to set lower price for their products in order to reach as many consumers as possible, increase the quality of their product so they can obtain more customers satisfaction, and improved their customer service so they can gain more positive reputation.

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A firm’s total revenue from sales of output minus the firm’s explicit costs. In other words, it is the total money made from sales of cupcakes minus the cost to make the cupcakes. Accounting profit is in most cases the same as the common understanding of profit

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3. The Spanish American wars of independence were the numerous wars against Spanish rule in Spanish America that took place during the early 19th century, after the French invasion of Spain during Europe’s Napoleonic Wars. Although various regions of Spanish America objected to crown policies that restricted trade and privileged Spanish-born officials over American-born, “there was little interest in outright independence; indeed there was widespread support for the Spanish Central Junta formed to lead the resistance against the French.”[6]
4. Eva (Evita) Perón’s legacy has inspired books, musicals, & films; she escaped rural Argentina, where there were few opportunities, & gained prominence as a radio & movie star; Eva’s popularity among masses assisted her husband (Juan Perón) in his rise to power; using her radio show to tell people about her husband’s policies, she helped him win the support of the working class (whom she affectionately called the descamisados (shirtless ones)); although she didn’t hold a political office, she received the honorary title “Spiritual Leader of the Nation”; promising redistribution of wealth, labor reform, & national glory for Argentina, the Peróns threatened security of the wealthy who held power & gave hope to the poor; even in death, Eva Perón remained a controversial figure
Juan Perón had her body embalmed & had planned a large memorial to immortalize her, but his government was overthrown & he was sent into exile in 1955; at that time, the new government hid her body in an attempt to get rid of any evidence of the Perón years; her enemies buried her in a secret grave in Italy, where her body remained until the 1970s; her; her body was eventually returned to Argentina & laid to rest in a family cemetery in Buenos Aires
Her legacy has been subject to different interpretations over time; her supporters view her as a powerful female leader who championed of the poor & middle classes; those who opposed her said she manipulated the masses for her own ambitions; historians continue to sift through diary entries, political documents, & letters to unravel more about the mysteries of Eva Perón
Controversy surrounding Perón rule’s reflective of political & social divisions within Latin America
Most nations in South America had gained their independence from Spain by the middle of the 19th century; throughout the remaining decades of that century & into the 20th, many South American nations struggled with political instability; governments rose & fell quickly & military coups d’etat were common; Juan Perón of Argentina is just one example of these political struggles
5.

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