projects s and l are equally risky, mutually exclusive, and have normal cash flows. project s has an irr of 15%, while project l’s irr is 12%. the two projects have the same npv when the wacc is 7%. which of the following statements is correct?

The amount applied to the principal for the third month of a 4-year loan of $50,000 at an interest rate of 10% per year with monthly payments is $865.71.

The amount of the payment applied to the principal in any payment period is the total payment less the interest amount for the payment period.

For example, in this case, the periodic payment is $1,268.13. However, the interest amount for the month is $402.42 ($48,289.98 x 10% x 1/12).

The amount of the payment applied to the principal is $865.71 ($1,268.13 - $402.42).

This can be computed using an online finance calculator that calculates the periodic payment and prepares a monthly payment schedule as below.

N (# of periods) = 48 (4 x 12)

I/Y (Interest per year) = 10%

PV (Present Value) = $50,000

FV (Future Value) = $0

Results:

PMT = $1,268.13

Sum of all periodic payments = $60,870.20

Total Interest = $10,870.20

Monthly Schedule

Period       PV                   PMT        Interest  Principal            FV

1          $50,000.00    $1,268.13      $416.67   $851.46     $49,148.54

2          $49,148.54     $1,268.13    $409.57  $858.56      48,289.98

3         $48,289.98     $1,268.13    $402.42   $865.71     $47,424.27

Thus, the amount of the payment applied to the principal is $865.71.

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The expression x^2 + 6x + c is a quadratic expression, and the value of c that makes the trinomial a perfect square is 9

The expression is given as:

x^2 + 6x + c

Take the coefficient of 6

k = 6

Divide by 2

k/2 = 3

Take the square of both sides

(k/2)^2 = 9

The value of c is:

c = (k/2)^2 = 9

So, we have:

c = 9

Hence, the value of c that makes the trinomial a perfect square is 9

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Answer:

the answer should be on a quizlet that i found

Explanation:

Go Math Middle School Grade 8, Practice Fluency Workbook

1st Edition

HOUGHTON MIFFLIN HARCOURT

here is the edition you need

hope this helps

rate brainliest

Since copper and zinc atoms have the same atomic radius,  an alloy of copper and Zinc will have the structure shown in option B.

An alloy is a combination of two or more metals Alloys are known to have better tensile strength and higher resistence to corrosion.

We are told that both copper atoms and zinc atoms have the same atomic radius, 135 picometers. It then follows that an alloy of copper and Zinc will have the structure shown in option B.

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The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm =  ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)

The formula for the center of mass of a body is defined as;

X_cm = (1/M) ∫r.dm

Where;

X_cm is the position of the center of mass

M is the total mass of the body

r is the position with respect to an origin

The density of a body is the relationship between two of its magnitudes that change constantly and so we have;

ρ = m/x

Applying small changes and we have;

ρ = dm / dx

dm = ρ*dx

We are given the expression;

ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²

Thus;

dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx

Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;

X_cm =  M⁻¹  ∫ x  [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx

X_cm = M⁻¹  [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]

X_cm = M⁻¹  [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]

X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)

X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4  L²]

X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]

X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)

The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.

M = ∫dm = ∫ρ.dx

M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx

We integrate between the limits of integration x = 0 and x = L to get;

M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3

M = ρ₀ L + (ρ₁ -ρ₀)/3L²  L³

M = ρ₀ L + (ρ₁-ρ₀)/3  L

M = L(ρ₀ + ρ₁/3   -ρ₀/3)

M = L(2/3 ρ₀ + ρ₁/3)

M = ¹/₃L(2ρ₀ + ρ₁)

We will replace and simplify in the center of mass equation to get;

X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]

X_cm =  ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)

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An example of Mathematics III common core volume 2 question and solution is given in the case of the subtopic algebra and geometry. An example is 1/2 (x + 42) - 60.

This is a textbook that is written by  Randall I. Charles. It has Volume and 2. The textbook acts as  Teacher's Guide in teaching mathematical related functions.

The solution to the question above is given below:

1/2 (x + 42) - 60

You then multiply both sides by 2

x + 42 - 60 * 2

x + 42 - 120

x  - 42

Therefore, the answer is x - 82.

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Answer: C “The flightless bird native to the country”

Explanation:

None of the other answers make sense and I also took the quiz and got this question right.

Answer:

The underlined phrase is essential. It isn't just any group of Phoenician sailors who discovered glass, nor is it that Phoenician sailors in general discovered it; the sentence refers to a particular group of sailors that used blocks of natron to cook on the beach.

Explanation:

source…Quizlet

I hope this helps

Have an AMAZING day. :)

An example of Fluency and skills practice questions is "What does being fluent with a math skill mean to you?

This is a term that connote is one's capability to be able to read with ease and fast, been accurate and having the right diction.

The question of what being fluent with a math skill mean to you is that it mean a lot to me as if I am fluent in math, I can be able to answer any difficult questions in math and then apply those skills in problem solving in real life.

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I found the complete problem.

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h

Trapezoid 1

A = [(7.5 + 15)/2 * 5

A = (22.5/2) * 5

A = 11.25 * 5

A = 56.25 sq. ft

Trapezoid 2

A = [(5 + 10)/2 * 7.5

A = (15/2) * 7.5

A = 7.5 * 7.5

A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

We have,

Given formula: p(t) = 300t / (t + 1)

As time (t) increases, the denominator (t + 1) also increases.

The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).

Now, let's examine the behaviour as t becomes larger:

When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.

As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.

However, the rate of increase slows down as t gets larger.

This is because the denominator grows faster than the numerator (300t).

Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.

This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.

Thus,

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

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The complete question:

Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)

where t ≥ 0 is the time in months since the beginning of the year.

(a) Draw a graph of the rabbit population.

(b) What eventually happens to the rabbit populations.

Answer:

4628 or 4528

Explanation:

I wear glasses

Answer:

Advantages

Education: Media educates the mass. With the help of television or radio shows, the mob discovers various facts about health affairs, environmental preservation, and many more topics of relevance.

Updated: People receive the latest news in a short time. Distance does not make a barrier in distributing information to people from any place on earth. People get daily news updates from media outlets, which keeps them updated on the current trends and happenings worldwide.

Exercise innate potentialities: People get to exercise their hidden talents through media. Media helps to showcase their hidden skills such as comedy, performing, singing, recitation, etc.

Gather knowledge: Media helps to increase knowledge about various subjects.

Mass production: Media acts as a great tool in promoting mass consumer products, increasing sales of the assets.

Diadvantages

Individualism: People spend an excessive amount of time on the internet, watching or binging content. As a result, their relationship with friends or family and neighbors may be affected.

Difficulty to Access: Some media topics are unsuitable for children; limiting access to such content can be challenging for elders in specific scenarios.

Fraudulence and Cybercrime: The Internet opens up avenues for imposters, criminals, and hackers, or such predators with the possibility to commit criminal acts without any knowledge of the victims.

Addiction: Some television programs and internet media can be very addictive to most children and adults, leading to a drop in productivity.

Health Concerns: Prolonged television watching or internet binging can lead to vision problems, and exposure to loud noises by using headphones or earphones can lead to hearing defects.

Faulty advertisement tactics: It often makes the use of drugs and alcohol appear cool, which can be harmful to the nations’ youth.

Personal Injury: Some people decide to try the stunts that have been showcased in the media, which lead to severe injuries.

The probability both balls are black, given that the first one is black, is gotten as;  ⁵/₁₂

By using the probability of an event formula,

There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂



Since the balls are drawn with replacement, the two draws are independent events.

Use Multiplication and Union Rules to obtain the following probability:

P(F) = P(B, B) + P(B, W)

P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)

P(F) =  ⁵/₁₂

Thus, the probability both balls are black, given that the first one is black, is  ⁵/₁₂

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Answer:

conserving and limiting

Explanation:

Hope this Helps!

-Justin

Answer:

B) 105 is the right answer :D

Explanation:

I took the quiz for it!

The number of people that opened the email sent by the campaign is 2,400.

Given the data in the question;

Rate is simply the ratio of a measure or frequency against another measure in different unit.

Percentage is a ratio expresses as a fraction of hundred.

Now, to determine the number of people that opened the email, we multiply the open-rate by the number of mail sent.

[tex]e_o = r * n\\\\e_o = \frac{9.6}{100} * 25000\\\\e_0 = 2400[/tex]

Therefore, the number of people that opened the email sent by the campaign is 2,400.

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The number of hours that the computers will be infected by a computer virus is one hour.

Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.

Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.

The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)

So therefore,  t is the time in hours.

After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)

=100*e^4.666

=100*106.271804

=10627.1804

~10627

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Transforming the function f(x) involves changing its position

The function f(x) is translated 4 units up to create the function g(x)

From the complete question (see attachment), we have:

f(x) = |x|

g(x) = f(x) + 4 = |x| + 4

The above means that:

The function f(x) is translated 4 units up to create the function g(x)

Also, the transformation ensures that the domain of both functions are the same, however the range of function g(x) is g(x) >= 4

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People often write story about different incident. The story is given below.

The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food  for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.

The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.

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Answer:

quizlet/494283439

Explanation:

I used this for my test not sure if im too late or not but here it for future students

Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):

6. B.292.3 meters

7. B.154 ft

8. D.912 meters

9. A.307 feet

Again these were the correct answers for me not sure if its the same for everyone they might have changed it.

(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))

A quotation that supports Wilson's conclusion about achieving peace is;

He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races,

President Wilson gave a 14 points speech that was a proposal calling for the victorious Allies to set unselfish peace terms with the vanquished Central Powers of World War I, including freedom of the seas.

The peace speech also included the restoration of territories conquered during the war and the right to national self-determination in such contentious regions as the Balkans.

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Answer:

fist one is public agreements between... and second one is processes of peace... just took test on plato!!!

Explanation:

The label of each phase of the action potential as identified by the highlighted region of each graph is given in the image attached.

The term Depolarization is known to be a form of  movement where the cell's membrane is said to have the likelihood to have a more positive value.

Conclusively, The term repolarization is known to be the alterations or a change that often takes place in membrane that are said to have the potential, to be able to return to a negative value.

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Answer:

Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.

If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.

Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.

Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.

Genetic drift is well known to be the cause of allele fixation by founder population effects.

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Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.

This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.

Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

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The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄)  is a double displacement reaction.

2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄

The reactant of the reaction is on the left side while the product of the reaction is on the right side.

Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.

The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.

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Answer:

nothing.

Explanation:

trust me

In the excerpt, the complication contribute to the conflict as at when Romeo kills Tybalt, he increases the friction with Juliet’s family.

A Central conflict that is found in a play or a novel is known to be when the  main character's strong zeal or desire is said to be in form of clashes with an internal or external obstacle.

Note that in the start of most stories, a powerful alteration can bring about the main conflict for your protagonist as in the case of Juliet's family.

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Answer: A) When Romeo kills Tybalt, he increases the friction with Juliet’s family.

Explanation:

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