A company has a minimum required rate of return of 9% and is considering investing in a project that costs $350,000 and is expected to generate cash inflows of $140,000 at the end of each year for three years. the net present value of this project is

Answers

Answer 1

The net present value of the project can be calculated as follows:

NPV = - Cost + present value of all cash flows

Cost = $350,000
Present value of all cash flows = C*{[1-(1+r)^-n]/r}
Where C = Yearly cash flows = $140,000, r = discount rate = 9%, n = time of generating cash flows = 3 years.

Therefore,

NPV = -350,000 + 140,000*{[1-(1+0.09)^-3]/0.09} = $4,381.25

Related Questions

Identify the problem with the following study.

It was found that a third of all people in the United States live in urban centers. This finding is based on a study involving 3 randomly selected individuals.

reported results

small sample

missing data

loaded question

Answers

If the question is, why is this study faulty? Then you can answer it.
We know nothing about what was asked. (How could it be much more than "Where do you live?" The last one is wrong.

Is there missing data? We don't know. So the second last one is not the best answer.

The sample is too small. So far that's your best answer.

The results cannot be at fault. How can saying 2/3 of the people answered that they lived in the country.

B <<<<<< second one down <<<<< Answer

Express using a negative exponent.
1/z^9

Answers

According to the rules of indices:
1/a^b=a^-b
thus using this rule, our value will be expressed as follows:
1/z^9=z^-9
Hence the answer is: z^-9

Which is the equation of a parabola with Vertex (0, 0) and directrix y = 4?

Answers

we know that

Vertex (0, 0) and directrix y = 4

is a vertical parabola------> open down (directrix above the vertex)
the equation is of the form
(y-k)=4p(x-h)²--------> y=4p*x²-------> vertex (0,0)

y=4
y=h-p-----> y=-p
p=-4

the equation of the parabola is
y=-16x²

the answer is
y=-16x²

see the attached figure

Answer:

D. x^2 = -16y

Step-by-step explanation:

got it right on edge

(-2q^4)(-8q^3b^6)
help I need to simplify this problem

Answers

Multiply the constants. Multiply the variables according to the rules of exponents.
[tex](-2q^{4})(-8q^{3}b^{6}) = ((-2)(-8))q^{(4+3)}b^{6}\\\\=16q^{7}b^6}[/tex]

what if the value of x? show all work

Answers

For this case we can make use of the Pythagorean theorem.
We have then:
(root (117)) ^ 2 = x ^ 2 + 6 ^ 2
Clearing x we have:
x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
Rewriting:
x = root (117-36)
x = root (81)
x = 9
Answer:
The value of x is given by:
x = 9 cm

Q # 9 Find the circumference

Answers

Circumfernce: C=2*Pi*r
Pi=3.14
Radius of the circumference: r=3 m
C=2*3.14*(3 m)
C=18.84 m

Answer: First option 18.84 m

Amy had $26 dollars to spend on school supplies. After buying 10 pens, she had $14.30 left. How much did each pen cost including tax?

Answers

11.70 is what wouldve been spent without adding tax, if you add tax you wouldve spent around $12-$12.50

Here, we need to find the cost of each pen, including tax. Since, information about tax was not given, so we will not consider this.

Total money Amy had = $ 26.

She is left with $ 14.30. The money she spent will be -

Total money - Money left = Money spent

$ 26 - $ 14.30 = $ 11.70

Total money she spent on 10 pens = $ 11.70

So, money spent on = $ 11.70 ÷ 10 = $ 1.17

So, the cost of each pen will be = $ 1.17

Consider a box with a square base that has a volume of 64 cubic inches and a height of 4 inches. What is the volume of a similar box whose square base has an area of 4 square inches?

Answers

We know that the square base of the new box is 4 sq. in. This means that each side has to equal 2 in., because A = l*w and 4 = 2x2; we also know that since it is a square, both sides have to be equal, so it must be a 2x2 square and not a 4x1 rectangle.

That being said, the first box had dimensions of 4x4x4 - and this is confirmed by the volume being 64 sq. in. and the height being told to us as 4 in. as well as the square base having to have equal sides.

Because of this, since the question states "similar," all of the dimensions have to be reduced by the same factor. Since the square base was reduced by 1/2, we can assume the height is also reduced by 1/2, thus giving us a height of the new box as 2 in.

So, the volume of the new box is 2x2x2, which equals 8 sq. in.

Somebody helppppp pleassse

Answers

68,5+49,5=118

180-118=62,

Good luck!

X +68.5+49.5=180. The sum of all three angles =180 degrees in most triangles. X=62 degrees

How to find the answers to nine and ten? Please show your work.

Answers

Nine
Comment
The figure consists of 2 figures, a rectangle and a trapezoid. You should break them up and find the area of each separately and add to get the total.

Rectangle.
Area = L * W
L = 40 yd
W = 25 yd.
Area = 40 * 25 = 1000 square yards.

Trapezoid
B1 = 40 yards
B2 = 65 yards
H = 55 - 25 yards
H = 30 yards
Area = (B1 + B2)* H / 2
Area = (40 + 65)*30 / 2 Add the 2 bases together.
Area = ( 105) * 30 / 2 You can divide either the 30 or the 105 by 2. Do the 30
Area = (105) *15
Area = 1575 square yards.

Find the total Area
Total Area = rectangle + trapezoid
Total Area = 1000 + 1575
Total Area = 2575 <<<<< Answer

Ten
Comment
Assume the other side has no windows or doors. Both sides consist of 1 triangle and 1 rectangle.

Problem A
Rectangle
Area = l * w
L = 28 feet
W = 8.5 feet
Area = 28 * 8.5
Area = 238 square feet.

Triangle
Area = 1/2 Base * Height
Base = 28 feet
Height = 12.5 - 8.5
Height = 4
Area = 1/2 * 28 * 4
Area = 56 square feet.

Total Area (1 Side)
Total Area (1 Side) = 56 + 238
Total Area (1 side) = 394

Total Area (Both sides)
Total Area (both sides) = 2 * 294
Total Area (both sides) = 588 square feet.

Problem B
Comment
You have 588 square feet. First figure out the number of bundles and then calculate the cost.

Bundles
Bundles = Total Square Feet (Rounded up) / 100
Bundles = 588 / 100 = 5.88 bundles.
But you cannot buy 0.88 bundles So you have to round up, otherwise you'll have a bit of the building uncovered.

You may not care in reality, but the question does. So your answer is that you have 6 bundles.

Cost
1 bundle costs 75 dollars.
6 bundles cost x

1/6 = 75 / x
x = 6 * 75
x = 450 dollars <<<<< Answer 10B

What is the simple interest that is missing from the table? p $375 r 2.2% t 3 years

Answers

I = Prt
I = 375*0.022*3 = $24.75

WILL MARK BRAINLEST * PLEASE HELP AND FAST :)

Answers

A stem and leaf plot is an abbreviated way of presenting data by grouping the data based on the leading number. In this plot, the minimum number is 54 (5|4), and the maximum is 96(9|6).

The range of a data set is the largest value minus the smallest value; the range for this data set would be 96-54, or 42.

The range of this stem and leaf plot is 42.

When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle. how much of the longitude line directly under the plane is visible from 5 miles high?

Answers

Final answer:

To find the visible part of the longitude line from an altitude of 5 miles, we can use the Law of Sines in combination with the given angle of 173.7 degrees. The resulting arc length signifies what portion of the Earth is visible from this altitude.

Explanation:

This question pertains to plane geometry and spherical geometry. Given that the angle formed by the lines of sight to the northern and southern horizons is 173.7 degrees when flying at an altitude of 5 miles, we can find the visible part of the longitude line using the Law of Sines.

Imagine a figure with a central angle of 173.7 degrees and a radius of 5 miles (the altitude of the airplane). Here, the radius of Earth is 3959 miles. Thus, from the center of the Earth to the airplane is a total of 3959+5 = 3964 miles.

Using the law of sines, we have: (sin(173.7 deg) / s) = (1 / 3964). Simplifying this gives us the arc length, s, which is the visible part of the longitude line. This visible part signifies the portion of the Earth you can see from the airplane's perspective.

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Final answer:

Using the horizon line formula, D = 112.88 km x √h, where h is the height in kilometers, we can determine the length of the longitude line visible from 5 miles up. This calculation takes into account, but barely modifies for not looking at a perfect 180-degree angle.

Explanation:

In order to find out how much of the longitude line directly under the plane is visible from 5 miles high, we need to apply some mathematical and geographical concepts. The key concept here is the idea of the horizon line, which is the furthest point you can see from a given point of elevation.

Using the formula D = 112.88 km x √h, where h is the height in kilometers (in this case, 5 miles or approximately 8.05 km), you would calculate D = 112.88 km x √8.05. This calculation gives you the distance to the horizon or how much of the line directly beneath the plane is visible.

However, the student's question also mentions an angle of 173.7 degrees - it represents nearly a complete observable circle from the airplane (as 180 degrees would be a complete straight line view). So, the observable part of longitude from the plane will also be correspondingly reduced by a very small amount, since we are not looking at a perfect 180 degrees.

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A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 2 cm more than the shorter leg and the hypotenuse 2 cm more than the longer leg. How long should the sides of the triangle be?

Answers

Short leg = 6, Long leg is 8, and hypotenuse is 10. Just for proof (6^2+8^2) = 100, the square root of that is 10.

The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5). If the side lengths differ by 2 cm, they must be ...
6 cm, 8 cm, 10 cm

Mission Control sends a signal to a Mars robot to travel to a mysterious rock 52.8 meters away. A return signal 59.0 minutes later tells scientists that the robot is at the rock. It took the signal 9.5 minutes to get from Earth to Mars, and the same time to get back. What was the robot’s average speed in meters per minute?

Answers

The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min

The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min

The robot's average speed was 1.32 meters per minute.

There are five green marbles numbered 1-5 and there are 4 yellow marbles numbered 1-4. what is the probability of picking a green or odd numbered marble

Answers

{g,g,g,g,g,y,y,y,y}

5+4=9

P(odd/green)=3/9 = 1/3 = .33 or 33% approximately

The scores on an exam are normally distributed with a mean of 74 and a standard deviation of 7. What percent of the scores are greater than 81?

A. 50%

B. 13.5%

C. 84%

D. 16%

Answers

The difference between 81 and the mean is
81 - 74 = 7
This is exactly the value of the standard deviation. You know that the "empirical rule" tells you 68% of all scores lie within 1 standard deviation of the mean. That tells you 32% of all scores lie beyond 1 standard deviation from the mean.

The normal distribution is symmetrical, so half of those (16%) lie above 1 standard deviation above the mean; the other half (16%) lie below 1 standard deviation below the mean. We're only concerned with the first group—those scores above 1 standard deviation above the mean.

The appropriate choice is
D. 16%

What is the sum of the first 51 consecutive odd positive integers?

Answers

We call:

[tex] a_{n} [/tex] as the set of the first 51 consecutive odd positive integers, so:

[tex]a_{n} = \{1, 3, 5, 7, 9...\} [/tex]

Where:
[tex]a_{1} = 1[/tex]
[tex]a_{2} = 3 [/tex]
[tex]a_{3} = 5 [/tex]
[tex]a_{4} = 7 [/tex]
[tex]a_{5} = 9 [/tex]
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

[tex]a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\} [/tex]

Then:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

[tex] S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k[/tex]

Therefore, we need to find:
[tex] a_{k} = a_{51} [/tex]

Given that [tex]a_{1} = 1[/tex], then:

[tex]a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1 [/tex]

Thus:
[tex]a_{k} = a_{51} = 2(51)-1 = 101[/tex]

Lastly:

[tex] S_{51} = ( \frac{1 + 101}{2} ).51 = 2601[/tex]

Find the value of x. If necessary, found your answer to the nearest tenth. The figure is not drawn to scale

Answers

sqrt(6^2 + 8^2) = 10

Express the given quantity as a single logarithm. ln x + a ln y − b ln z

Answers

The rules of logarithms tell you ...
• [tex]\ln(a)+\ln(b)=\ln(a \cdot b)[/tex]
• [tex]a \cdot \ln(b)=\ln(b^{a})[/tex]

[tex]\ln(x)+a \cdot \ln(y)-b \cdot \ln(z)=\ln\left( \dfrac{x \cdot y^{a}}{z^{b}} \right)[/tex]

Final answer:

To express ln x + a ln y - b ln z as a single logarithm, use the properties of logarithms.

Explanation:

To express ln x + a ln y - b ln z as a single logarithm, we will use the properties of logarithms. The key properties we will use are:

ln xy = ln x + ln y: The logarithm of a product is the sum of the logarithms of the factors.ln (x/y) = ln x - ln y: The logarithm of a quotient is the difference of the logarithms of the numerator and denominator.

Using these properties, we can simplify the expression:

ln x + a ln y - b ln z = ln x + ln(y^a) - ln(z^b)= ln (x(y^a)/(z^b))

So, the given quantity can be expressed as a single logarithm: ln (x(y^a)/(z^b))

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How many gallons of punch will sadie make?

Answers

Sadie will make 3 gallons of punch.

First, let's convert all the measurements to the same unit, such as gallons.

1 gallon = 4 quarts

1 gallon = 8 pints

1 gallon = 16 cups

Now, let's convert each ingredient:

1. Lemon-lime juice: 8 quarts = 8/4 = 2 gallons

2. Vanilla ice cream: 4 pints = 4/8 = 0.5 gallons

3. Orange juice: 8 cups = 8/16 = 0.5 gallons

Now, let's sum up the amounts of each ingredient:

2 gallons (lemon-lime juice) + 0.5 gallons (vanilla ice cream) + 0.5 gallons (orange juice) = 3 gallons

Complete question: Using 8 quarts lemon-lime juice , 4 pints vanilla ice cream , 8 cups orange juice .How many gallons of punch will Sadie make?

if a certain type of bacteria quadruples every 15 minutes, how many bacteria will be presents after 90 minutes if the initial population was 5 bacteria?

HELP ME FOR 97 POINTS !!!!

Answers

For this case we have an equation of the form:
y = A (b) ^ (t / n)
Where,
A: initial amount
b: growth rate
t: time
n: number of time periods
Substituting values we have:
y = 5 * (4) ^ (90/15)
y = 20480
Answer:
will be presents after 90 minutes about:
y = 20480 bacteria

Sarawong is carrying six pages of math homework and four pages of english homework. a gust of wind blows the pages out of his hands and he is only able to recover seven random pages. what is the probability that he recovers at least five pages of his math homework

Answers

Final answer:

The probability that Sarawong recovers at least five pages of his math homework is 56.6%, using the combinatory principles of probability.

Explanation:

To solve the problem, we need to calculate the probability that Sarawong recovers at least five pages of his math homework after a gust of wind blows the pages out of his hands. This is a probability problem, which is under the field of mathematics. We first need to understand the total possibilities of the pages he could recover, which is combinations of six math pages and four English pages, that is 10 pages pick 7 pages. We add up the probabilities that he recovers 5, 6, or all 7 math pages. We also need to consider that there is no particular order in which the pages are recovered.

The total number of ways to select 7 pages from 10 can be calculated by 10 choose 7, which is 120.

The number of ways to select 5 math pages out of 6 and 2 English pages out of 4 is 6 choose 5 times 4 choose 2, which equals 60. The probability of this case is 60 / 120 which is 0.5.

The number of ways to select 6 math pages and 1 English page is 6 choose 6 times 4 choose 1, which is also 4. The probability is 4 / 120 which is 0.033.

The number of ways to select all math pages is 6 choose 6 and 4 choose 1, which totals 4. The probability is also 4 / 120 which is 0.033.

Therefore, the total probability that Sarawong recovers at least 5 of his math pages is 0.5 + 0.033 + 0.033 = 0.566, or 56.6%. This is the mathematical solution to the problem.

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PLZ HELP ASAP FEATURES OF A CIRCLE FROM ITS EXPANDED EQUATION LAST ONE

Answers

We have the following equation:
x2 + y2 + 6y - 72 = 0
Rewriting we have:
x2 + y2 + 6y = 72
Complete squares we have:
x2 + y2 + 6y + (6/2) ^ 2 = 72 + (6/2) ^ 2
x2 + y2 + 6y + (3) ^ 2 = 72 + (3) ^ 2
x2 + y2 + 6y + 9 = 72 + 9
x2 + (y + 3) 2 = 81
So, the center is:
(0, -3)
The radio is:
r = 9
Answer:
(0, -3)
r = 9

what is the difference? (x+5)/(x+2)-(x+1)/(X^2+2x)

Answers

[tex] \frac{x+5}{x+2} - \frac{x+1}{x^{2}+2x } = \frac{x^{2}+4x-1 }{ x^{2} +2x} [/tex]

Answer:

[tex]\text{The difference is }\frac{x^2+4x-1}{x(x+2)}[/tex]

Step-by-step explanation:

Given two expression, we have to find the difference of these two.

[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x}[/tex]

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)}[/tex]

[tex]\text{Taking (x+2) common from the denominator }[/tex]

[tex]=\frac{1}{x+2}((x+5)-\frac{x+1}{x}[/tex]

[tex]=\frac{1}{x+2}(\frac{x(x+5)-(x+1)}{x})[/tex]

[tex]=\frac{1}{x+2}(\frac{x^2+5x-x-1}{x}[/tex]

[tex]=\frac{1}{x+2}(\frac{x^2+4x-1}{x})[/tex]

[tex]=\frac{x^2+4x-1}{x(x+2)}[/tex]

which is required difference.

a soccer ball has the same diameter as a lenght of a cube shaped box. if the diameter of the soccer ball is 12 inches what volume inside that is not filled by a soccer ball

Answers

diameter is the length, width, and height of the box, therefore, volume of box is length x width x height= 12 x 12x 12= 1728
volume of ball is (4/3) x pi x radius cubed =288 pi
then answer is 1728 - 288 pi

Please rate me don't just say thanks

The volume of box which is not used is (1728 - 288π) inch³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

If the diameter of the soccer ball is 12 inches.

So, Volume of box

= length x width x height

= 12 x 12 x 12

= 1728 inch³

and, Volume of ball

= 4/3 πr³

= 4/3π (6)³

= 864/3 π

= 288 π inch³

So, the volume of box which is not used

= 1728 - 288π

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What is the equation of the line perpendicular to 2x + 5y = 20 that contains the point (10, −4)?

Answers

perpendicular means a line that is opposite and reciprocal to the slope you have now

1) first solve for y

5y= -(2x) + 20
y= -(2/5)x + 4

so the slope is -2/5 so perpendicular is m= 5/2

so now use point slope

y-y1=m(x-x1)

m=5/2 and point is (10,-4)

plug and chug

y+4 = (5/2) (x-10 )

y= 5/2x - 25 - 4
y=5/2x - 29

hope i didnt make an adding error
but thats how you do it.

hope that helps

The number pi goes on forever with no repeating pattern; therefore, it is rational. A) True or B) False

Answers

false, it's irrational.

False, Because it is an Irrational number.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

We have to given that;

The number π goes on forever with no repeating pattern.

Therefore, it is rational.

Since, We know that;

Number π cannot be expressed as the ratio of one number to another

Hence, in other words, Number π is an 'irrational' number that goes on forever, never repeating itself.

Hence, Statements in false, Because it is an Irrational number.

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Marta jogged 7/10 of a mile Monday. On Tuesday, she jogged 5/10 of a mile. What is the total distance Marta jogged on Monday and Tuesday?

Answers

To find the total, you have to add

7/10 + 5/10 = 12/10

12/10 simplified = 1 2/10 = 1 1/5

Your answer is 1 1/5 miles

Hope this helps :)

On a blueprint with a scale of 1cm = 2ft, the length of a wall is 12cm. If the scale of the blueprint were 1cm = 3ft, what will be the length of the wall?

(Please show work, I will mark brainliest)

Answers

I will assume that this question asks for the length of the wall on the new blueprint. It is not worded nicely.
The actual length of the wall is
12 cm * (2 ft / 1 cm) = 24 ft
On the new blueprint of 1 cm = 3 ft, the length on blueprint becomes
24 ft * (1 cm / 3 ft) = 8 cm
The length of the wall on the new blueprint is 8 cm.

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