What is value of x? enter your answer in the box. X = a triangle with vertices labeled as a, b, and c. Side b c is the base. A line segment is drawn from vertex a to base b c that bisects angle b a c into two parts marked with single arcs. Side a b is labeled as 8. Side a c is labeled as 12. Side b c is divided into two equal parts labeled as x plus 4 and 2 x plus 1.

Answers

Answer 1

The value of x calculated by using the Pythagorean theorem is equal to 6.

This can be found by using the Pythagorean theorem to solve for the length of side bc, which is the base of the triangle. By using the two given side lengths of 8 and 12, we can find that the length of the hypotenuse (bc) is equal to the square root of 8^2 + 12^2, which is equal to 16.

Since the base is divided into two equal parts, we can divide 16 by 2 and get 8. We then subtract the given length of 2x + 1 from 8 and get 7, which means x is equal to 6.

For more questions like Value of x click the link below:

https://brainly.com/question/8062555

#SPJ4

What Is Value Of X? Enter Your Answer In The Box. X = A Triangle With Vertices Labeled As A, B, And C.

Related Questions

Which of the following functions has a vertical asymptote at x=2, a horizontal asymptote at f(x)=1, and a root at x=−1?

A. f(x)=3x+2+1
B. f(x)=−3x−2+1
C. f(x)=3x+2−1
D. f(x)=3x−2+1

Answers

Definitely c but if not my bad

PLEASE HELP ME I NEED HELP I'LL GIVE YOU BRAINLEST PLEASE I BEG YOU NICELY.

Can some one help me with this. This isn't school work this is math that I am doing at home on prodigy the app. I will mark you brainlest if you get this correct. Also look at both of the pictures one of them has a hint for you.

Answers

The perimeter of a rectangle is the sum of its side lengths.

A rectangle is special in that sides opposite one another have equal length. So if [tex]x[/tex] is the length of the horizontal sides, the total perimeter of the rectangle is

[tex]4\,\mathrm{cm} + 4\,\mathrm{cm} + x\,\mathrm{cm} + x\,\mathrm{cm} = (8+2x)\,\mathrm{cm}[/tex]

We're given the perimeter is actually 18 cm, so

[tex]8+2x = 18[/tex]

Solve for [tex]x[/tex].

[tex](8 + 2x) - 8 = 18 - 8[/tex]

[tex]2x = 10[/tex]

[tex]\dfrac12 \cdot 2x = \dfrac12 \cdot 10[/tex]

[tex]\boxed{x = 5}[/tex]

triangle properties help

Answers

A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.

A roll of aluminum for you measure 76.2 m long by 304 m wide what is the length in millimeters

Answers

Answer:

76,200 mm

Step-by-step explanation:

1 meter = 1000 mm, by definition.  Make that a conversion factor:

(1 meter)/(1000 mm), or (1000 mm)/(1 meter).  Both are equal to 1, since 1 meter = 1000 mm.  We can multiply anything by 1, so take the original measurement of length of 76.2 meters, and multiply it by (1000 mm)/(1 meter).

(76.2 meters)*((1000 mm)/(1 meter)) = 76,200 mm.  The meters cancels, leaving just mm, the desired unit.

Please help with the bonus! Thank you:)

Answers

a. The function that models the situation is  F(t) = 48(1.08)ˣ

b. The price of the stock 6 years from now is $76.17

c. Find the graph in the attachment

d. I receive a dividend of $0.026.

a. Write a function f(t) that models the situation.

Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.

So, the current price [tex]F(t) = A(1 + r)^{t}[/tex] where

A = price at current moment = $48, r = rate of growth = 8% = 0.08 and t = number of years

So,  [tex]F(t) = A(1 + r)^{t}[/tex]

[tex]F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}[/tex]

So, the function that models the situation is F(t) = 48(1.08)ˣ

b. Determine the price of the stock 6 years from now?

The price of the stock 6 years from now is gotten when t = 6.

So,

[tex]F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17[/tex]

So, the price of the stock 6 years from now is $76.17

c. Sketch a graph of the price of the function vs time in years

Find the graph in the attachment

d. Bonus

Since every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.

Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.

After n years, the dividend is D = (r)ⁿF(t)

= (0.06)ⁿF(t)

So, [tex]D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}][/tex]

So, after 3 years when t = 3,

[tex]D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013[/tex]

Since there are 3 shares, the total dividend would be D' = 3D

= 3 × 0.013

= 0.026

So, i receive a dividend of $0.026

Learn more about exponential function here:

https://brainly.com/question/12940982

#SPJ1

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

Answers

The computation shows that the amount will be 44.70 Dollars.

How to illustrate the information?

The options are missing: Here are the missing options:

A. 44.70 US dollars

B. 73.06 US dollars

C. 136.87 US dollars

D. 140.41 US dollars

For solving this question first we will convert the USD to euros.

The conversion rate we have is:

1 euro = 1.3687 USD

250/1.3687 = 182.655 euros

Now we will subtract it from what he has spent:

= 182.655 - 150

= 32.655 euros

Now we will again convert it back to USD. This will be:

32.655 euros * 1.3687 = 44,695 us dollars

Therefore, the answer is 44.70.

Learn more about computations on:

https://brainly.com/question/4658834

#SPJ1

Picture vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Answers

Answer:

pretzel: 2

hotdog: 3

Step-by-step explanation:

Let h be the hotdog price and p the pretzel price.

We know that:

h + p = 5

and

2h + 3p = 12

We can solve this system of equations:

h = 5-p

2(5-p) + 3p = 12

So the second eq. becomes:

10 - 2p + 3p = 12

10 + p = 12

p = 2

Sub in the first:

h = 5 - p = 5-2 = 3

So p = 2, h = 3

Answer: $3 / hot dog

Step-by-step explanation:

Given information:

1 hot dog + 1 pretzel = $5

2 hot dogs + 3 pretzels = $12

Set variables:

Let x be the price per hot dog

Let y be the price per pretzel

Set system of equations:

x + y = 5

2x + 3y = 12

Multiply the first equation by 3:

3x + 3y = 15

2x + 3y = 12

Subtract the second equation from the first equation (Elimination):

(3x + 3y) - (2x + 3y) = 15 - 12

3x + 3y - 2x - 3y = 3

(3y - 3y) + 3x - 2x = 3

0 + x = 3

[tex]\boxed{x=3}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The perimeter of square JKLM is 48 units.

Square J K L M is shown. The length of J K is x + 3.

What is the value of x?
6
9
12
15

Answers

Perimeter = 4 x sides
48 = 4 (x + 3)
48 = 4x + 12
36 = 4x
x = 9

Check:
x + 3 = 9 + 3 = 12
12 x 4 = 48

Answer:

9

(Correct On Edgen)

Given: Quadrilateral PAST, TX = AX; TP || AS
Prove: Quadrilateral PAST is a parallelogram.

Answers

1) Quadrilateral PAST, TX=AX, [tex]\overline{TP} \parallel\overline{AS}[/tex] (given)

2) [tex]\angle XPT \cong \angle XSA[/tex] and [tex]\angle XTP \cong \angle XAS[/tex] (alternate interior angles theorem)

3) [tex]\triangle TXP \cong \triangle AXS[/tex] (AAS)

4) [tex]\overline{TP} \cong \overline{AS}[/tex] (CPCTC)

5) PAST is a parallelogram (a quadrilateral with two pairs of opposite congruent sides is a parallelogram)

(Adding to the other person's answer)

For the 5th step reason, put this: A quadrilateral is a parallelogram if a pair of opposite sides are parallel and congruent.

It won't work to just say something like the def. of parallelograms.

Complete this sequence.
30, 21, 12, 3, [?], [ ]

Answers

Answer:

-6, -15

Step-by-step explanation:

Each term is 9 less than the previous term.

A surveyor measures the angle of elevation of the top of a mountain from a point at
sea level as 20◦. She then travels 1000 m along a road that slopes uniformly uphill
towards the mountain. From this point, which is 100 m above sea level, she measures
the angle of elevation as 23◦. Find the height of the mountain above sea level, correct to
the nearest metre.
(use sin rule/ cos rule)

Answers

The height of the mountain from a point a sea level is approximately 1496.650 meters.

What is the height of mountain from sea level?

First, we construct the geometric diagram of the situation and find all needed angles and sides to determine the height of the mountain. First, we determine the missing side x by the law of sines:

Law of sines

1000 m/sin 3° = x/sin 14.261°

x ≈ 4706.886 m

Now we determine the height of the mountain by trigonometric functions:

h = 100 m + (4706.886 m) · sin 17.261°

h ≈ 1496.650 m

The height of the mountain from a point a sea level is approximately 1496.650 meters.

To learn more on law of sines: https://brainly.com/question/13098194

#SPJ1

Which monomials are perfect squares? Select three options.

6x2
9x8
17x9
25x12
36x16

Answers

The monomials that are perfect square are :
36*16 that is 576

Answer: B, D, E

Step-by-step explanation:

How could the relationship of the data be classified? (1 point)

(see photo)

A fairly strong positive correlation

A fairly weak positive correlation

A fairly strong negative correlation

A fairly weak negative correlation

Answers

The relationship of the data can be classified as a fairly strong positive correlation.

What is positive correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Positive correlation is when two variables move in the same direction. If one variable increases, the other variable also increases. When there is a positive correlation, the graph of the variables is upward sloping

To learn more about correlation, please check: https://brainly.com/question/27246345

#SPJ1

One day, eleven babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most nine of the eleven babies are girls?

Answers

The probability of having, at most, 9 girls, is 0.9515

How to get the probability?

The probability that a random baby is a girl is:

p = 0.5

And the probability that a random baby is a boy is:

q = 0.5

Then the probability that, at most, 9 out of 11 babys are girls, is given by:

1 - p(10) - p(11)

Where P(10) is the probability that 10 of the babies are girls and p(11) is the probability that the 11 babies are girls.

p(10) = C(11, 10)*(0.5)^10*(0.5)^1 = C(11, 9)*(0.5)^11

Where C(11, 10) is the combinations of 10 elements that we can make with a set of 11 elements, such that:

C(11, 10)=  11!/(11 - 10)!*10! = 11

Replacing that, we get:

P = 11*(0.5)^11 = 0.0054

p(11) = C(11, 11)*0.5^11 = 1*0.5^11 = 0.0005

Then the probability is:

P = 1 - 0.0054 - 0.0005 = 0.9515

The probability of having, at most, 9 girls, is 0.9515

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

TRUE OR FALSE: No matter the population distribution from which a sample of size n is taken, we can use the normal distribution to approximate the distribution of the sample mean as long as n is large enough.

Answers

Answer:

true

Step-by-step explanation:

mean we show up the distribution

There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that the rock hits a piece of glass that is cracked?

Answers

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore,  0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

Learn more about the probability here https://brainly.com/question/24756209

#SPJ4

Quick algebra 1 question only for 5 points :(
I would give more but people have been stealing my 100 point questions :(

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

1)

[tex]x = y + 5 \\ y = x - 5[/tex]

2)

[tex]x = \frac{3}{8} y \\ y = \frac{8}{3}x [/tex]

3)

[tex]x = - y - 2 \\ y = - 2 - x[/tex]

4)

[tex]x = 6y + 1 \\ 6y = x - 1 \\ y = \frac{x - 1}{6} [/tex]

5)

[tex]x = y - 11 \\ y = x + 11[/tex]

6)

[tex]x = 8y \\ y = \frac{x}{8} [/tex]

7)

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

[tex]basically \: flip \: x \: and \: y \: then \: solve \: for \: y[/tex]

l=10m,b=8m,h=5m
Please answer​

Answers

Step-by-step explanation:

we have given

l=10m

b=8m

h=5m

volume =?

area=?

volume =l*b*h

= 10*8*5

=400

area=2(lb+lh+bh)

=2(10*8+10*5+8*5)

=2(80+50+40)

=2(170)

=340

hope this is helpful please make me brainliest

Solve for x when [tex]x^{yz} =y^{2}[/tex]

Answers

The value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]

How to solve for x?

The equation is given as:

x^yz = y^2

Rewrite the equation properly as follows

[tex]x^{yz} = y^2[/tex]

Take the yz root of both sides

[tex]\sqrt[yz]{x^{yz}} = \sqrt[yz]{y^2}[/tex]

Apply the law of indices

[tex]x^{\frac{yz}{yz}} = \sqrt[yz]{y^2}[/tex]

Divide yz by yz

[tex]x = \sqrt[yz]{y^2}[/tex]

Hence, the value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

e

Step-by-step explanation:

Using euler's identity we can see that e^ipi=-1 and considering that i=y and  i^2=-1 we can conclude that x=e

Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?

Answers

The boat speeds of 15 km/h and 18 km/h, directions, and the time of travel of 45 minutes gives the angle between their paths as approximately 68°.

How can the angle between the paths of the boats be found?

The given parameters are;

Direction of the first boat = Northeast

Speed of the first boat = 15 km/h

Direction of the second boat = Northwest

Speed of the second boat = 18 km/h

Distance between the boats after 45 minutes = 14.0 km.

45 minutes = 0.75 × 1 hour

Distance traveled by the first boat in 45 minutes, d1, is therefore;

d1 = 15 km/h × 0.75 hr = 11.25 km

For the second boat, we have;

d2 = 18 km/h × 0.75 hr = 13.5 km

Using cosine rule, we have;

14² = 11.25² + 13.5² - 2 × 11.25 × 13.5 × cos(A)

Where A is the angle between the paths of the two boats.

Which gives;

[tex]cos(A) = \frac{361}{972} [/tex]

[tex] A= \mathbf{ arccos\left(\frac{361}{972} \right) }\approx 68^\circ [/tex]

The angle between their paths to the nearest degree, A ≈ 68°

Learn more about the rule of cosines here:

https://brainly.com/question/13409288

#SPJ1

Select the correct answer. which equation is correctly rewritten to solve for x?

Answers

The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.

How to rewrite an equation?

A linear equation given in the form ax + b = c can be rewritten to solve for x as below:

ax + b = c

⇒ ax = c - b

∴ x = (c - b)/a

So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.

Calculation:

Given equation is -fx - g = h

Step 1: Adding 'g' on both sides

-fx - g + g = h + g

⇒ -fx = h + g

Step 2: Dividing by '-f' on both sides

-fx = h + g

⇒ -fx/-f = (h + g)/-f

x = (h + g)/-f

Therefore, the rewritten equation to solve for x is x = (h + g)/-f.

Learn more about solving an equation here:

https://brainly.com/question/25678139

#SPJ4

Disclaimer: The given question was incomplete in the portal. Here is the complete question.

Question: Select the correct answer. which equation is correctly rewritten to solve for x?

Equation: -fx = h + g

A. x = (g - h)/f

B. x = (h - g)/-f

C. x = (h + g)/-f

D. x = (h + g)/f

Can someone help me on these problems and show work please !

Answers

Answer:

1. 3 terms; degree 5

2. 2 terms; degree 3

3. 9mn³ + 14mn²

4. 9a^4b^3

Step-by-step explanation:

Problems 1 - 2:

Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.

The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.

The degree of the polynomial is the same as the degree of the term with the highest degree.

1.

3 terms

degree 5

2.

2 terms

degree 3

Problems 3 - 4:

Combine like terms. Like terms have the same variables and exponents.

3.

6mn³ - mn² + 3mn³ + 15mn² =

= 6mn³ + 3mn³ - mn² + 15mn²

= 9mn³ + 14mn²

4.

a^4b^3 + 8a^4b^3 =

= 1a^4b^3 + 8a^4b^3

= 9a^4b^3

What is the probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm

Answers

The probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm is 0.0418.

There are several sorts of mean in arithmetic, in particular in statistics. each implies serves to summarize a given institution of information, often to better recognize the general fee of a given record set.

They imply (aka the mathematics mean, extraordinary from the geometric imply) of a dataset is the sum of all values divided with the aid of the entire variety of values. it is the maximum commonly used a degree of crucial tendency and is regularly referred to as the “average.”

Common can truely be described as the sum of all of the numbers divided by means of the entire quantity of values. An average is described as the mathematical common of the set of or more statistics values. common is commonly described as implying or arithmetic mean. mean is really a method of describing the average of the sample.

Learn more about the mean here: https://brainly.com/question/12892403

#SPJ4

Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?

Answers

The angle between their paths to the nearest degree is 68⁰.

Displacement of each boats after 45 minutes

first displacement, a = 15 km/h  x (45/60)

first displacement, a = 11.25 km

second displacement, b = 18 km/h  x (45/60)

                                     b = 13.5 km

Angle between their paths to the nearest degree

c² = a² + b² - 2ab(cosθ)

2ab(cosθ) = a² + b² - c²

cosθ =  (a² + b² - c²)/(2ab)

cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)

cosθ = 0.371

θ = arc cos(0.371)

θ = 68.22 ⁰

Thus, the angle between their paths to the nearest degree is 68⁰.

Learn more about angles here: https://brainly.com/question/25716982

#SPJ1

Select the correct answer.
The variable b varies directly as the square root of c. If b= 100 when c=4, which equation can be used to find other combinations of b and c?
A b= 25c
B.
b = 50√e
OC. b = 200c
OD. b√e 50
-
Reset
Next

Answers

The equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

What is the equation of the direct variation between two variables?

In this problem we have a case of direct variation between two variables, which is mathematically described by a direct proportionality model, whose form and characteristics are shown below:

b ∝ √c

b = k · √c      (1)

Where k is the proportionality constant.

First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)

k = b / √c

k = 100 / √4

k = 100 / 2

k = 50

Then, the equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

To learn more on direct variation: https://brainly.com/question/14254277

#SPJ1

In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is blue, replace it, and draw another marble
that is red?
Enter your answer as a fraction in lowest terms. Do not add
spaces to your answer. (EX: 1/2)

Answers

Answer: 1/8

Step-by-step explanation:

what is the temperature in Celsius? (LOOK AT PIC)

Answers

Answer:

21

Step-by-step explanation:

(69.8-32)×(5/9)=21

help me I need help now!!

Answers

what help? how can i help you?

If a = √3-√11 and b = 1 /a, then find a² - b²​

Answers

If [tex]b=\frac1a[/tex], then by rationalizing the denominator we can rewrite

[tex]b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8[/tex]

Now,

[tex]a^2 - b^2 = (a-b) (a+b)[/tex]

and

[tex]a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8[/tex]

[tex]a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8[/tex]

[tex]\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}[/tex]

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

If the scale factor for the dilation shown is 3, which is the length of B'C'?
5/3
8
12
15

Answers

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5.  To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

Answer:

15

Step-by-step explanation:

correct on edge 2023

Other Questions
T/F While merging scenarios, one should keep both workbooks from which one wants to merge scenarios open, and work from the workbook to which one will add the scenarios. When submitting the completed project, please show all work and number each answer accordingly.When calculating the NPV use the following five columns (use for ALL NPV calculations):ItemYear(s)Cash FlowDiscount FactorPresent Value of Cash Flows1. Tony Skateboards is considering building a new plant. James Bott, the companys marketing manager, is an enthusiastic supporter of the new plant. Michele Martinez, the companys chief financial officer, is not so sure that the plant is a good idea. Currently the company purchases its skateboards from foreign manufacturers. The following figures ere estimated regarding the construction of the new plant.Cost of plant$4,000,000.00Estimated useful life15 yearsAnnual cash inflows$4,000,000.00Salvage value$2,000,000.00Annual cash outflows$3,550,000.00Discount rate11%James Bott believes that these figures understate the true potential value of the plant. He suggests that by manufacturing its own skateboards the company will benefit from a buy American patriotism that he believes is common among skateboarders. He also notes that the firm has had numerous quality control problems with the skateboards manufactured by its suppliers. He suggests that the inconsistent quality has resulted in lost sales, increased warranty claims, and some costly lawsuits. Overall, he believes sales will be $200,000 higher than the projected above, and that the savings from lower warranty costs and legal costs will be $80,000 per year. Required:a. Compute the Cash Payback period for the project based on the original projections.b. Compute the net present value of the project based on the original projections.c. Compute the Cash Payback period for the project incorporating James estimates of the value of the intangible benefits.d. Compute the net present value of the project incorporating James estimates of the value of the intangible benefits.e. Comment on your findings. 2. The partnership of Michele and Mark is considering the following long-term capital investment proposal. Relevant data on the project is listed below. Salvage value is expected to be zero for the project. Depreciation is computed by the straight-line method. The companys rate of return is the companys cost of capital which 12%.BrownCapital Investment$200,000.00Annual Net Income:Year 1$25,000.00Year 2$16,000.00Year 3$13,000.00Year 4$10,000.00Year 5$8,000.00Total$72,000.00Required:a. Compute the cash payback period for the project. (round to two decimal places)b. Compute the net present value for the project (round to the nearest dollar)c. Compute the annual rate of return for the project.d. Compute the profitability index for the project.1 evaluate 413x 5x dx. enter your answer as an exact fraction if necessary.^16_9 (-x^1/2-5)dxprovide your answer below: What things were focused by the ancient preachers and philosophers? Atrovent, if prescribed to the patient, is indicated for which one of the following conditions?Select one:a. Headacheb. Difficulty breathingc. Nausea or vomitingd. Chest discomfort TRUE OR FALSEthe number of nodes in a non-empty tree is equal to the number of nodes in its left subtree plus the number of nodes in its right subtree plus 1. given r=abcdefg and f = {cfb, bc, fbe, cbef, eag, fab,bgfe, bacg} the following is redundant: a) EG. b) FBE. c) BAG. d) BEF Express the confidence interval (0.068,0.142) in the form of p-Ep if you notice that the vase filled with your flowers starts to stink, it is probably due to the following _____ is values are ideas about what is right or wrong, good or bad, desirable or worthy in a particular group; they express what the group cherishes and honors. Expected volume of output, degree of equipment flexibility, and variety of products/services offered are the main demand factors impacting process selection. O True O False Briefly explain whether the value of u.s. exports is typically larger or smaller than the value of u.s. imports. part 2 the value of u.s. exports part 3 a. has always been larger than the value of u.s. imports. b. has been smaller than the value of u.s. imports since about 1980. c. has been smaller than the value of u.s. imports since about 1965. d. has been larger than the value of u.s. imports since about 1985. e. has always been smaller than the value of u.s. imports. part 4 for the u.s. economy, imports and exports represent a larger a smaller an equal fraction of gdp compared to what they were in 1970. You are watching a baseball game and you notice that the sound of the bat hitting the ball takes 1. 2 seconds to reach you in the stands. If the speed in the air is 330 m/s then how far are you from the batter ? pls hurrya. 363mb. 396 mc. 475 md. 275m you can use specific iptables rules to prevent denial of service (dos) attacksT suppose f 3 = 2 and f 3 = 3. let g(x) = f(x) sin(x) and h(x) = cos(x) f(x) . find the following. (a) g 3 (b) h 3 how many kilograms of nickel must be added to 2.43 kg of copper to yield a solidus temperature of 1300c? u question number 1) according to the video, the purpose in asking the right questions of a customer is to ________________ __________. if a galaxy contains a great deal of "dark matter," what will that do the galaxys mass-to-light ratio? Please help me, I need it really badly. This assignment is due in 3 days and I don't have enough time to do it because I have sports, family events, and doctors appointments. Please help me! I need someone who is willing to give me a good and true answer. Offering 80 points and brainliest to the best answer! What crucial efforts need to be taken by a company to make its direct marketing emails and mobile messages effective?a). wait for new technology to be widely adopted before using it in the IMC marketing mixb). update its customer database once a year to use with its marketing campaignsc). create a robust and accurate customer database to use for marketing campaigns