Thomson Media is considering some new equipment whose data are shown below. The equipment has a 3-year tax life and would be fully depreciated by the straight-line method over 3 years, but it would have a positive pre-tax salvage value at the end of Year 3, when the project would be closed down. Also, some new working capital would be required, but it would be recovered at the end of the project's life. Revenues and other operating costs are expected to be constant over the project's 3-year life. What is the project's NPV?

Answers

Answer 1

The NPV of Thomson Media's new project is $23005. Hence, option C. is correct.

What is NPV?

Net Present Value (NPV) is the product of the difference between an investment and the future cash flows from that investment in current dollars. This gives companies and investors the opportunity to decide whether to invest based on the present value of future returns. NPV considers the time value of money. This shows that the money you have now will be worth more than the same amount in the future. Future declines in the value of money are primarily due to inflation, interest rates, and lost investment opportunities.

When you invest money, you need a return on your investment not only to exceed the amount invested, but to offset the potential losses incurred by the time value of money. NPV allows you to translate future investment growth into today's dollars, giving you a more accurate picture of your investment's true value.

Annual Cash Flow = [Sales revenues per each year - Operating costs (excl. deprec.)per year] × [1-tax rate] + [Annual Depreciation × tax rate]

Annual Cash Flow = [75000-30000] × [1 - 35%] + [70000 × 33.333%]×35%

Annual Cash Flow = $37,417

Pretax Salvage Value = $5000

Postax Salvage value = pretax salvage value × (1-tax rate)

Postax Salvage Value = 5000 × (1-35%)

Postax salvage Value = $3250

Terminal Value = Postax salvage value + Recovered Working Capital

Terminal Value = 3250 + 10000

Terminal Value = $13250

Initial Investment = Net investment in fixed assets (deprec. basis) +  New working required capital

Initial Investment = 70000 + 10000

Initial Investment = $80000

Project’s NPV = (-Initial Investment) + (Annual Cash Flow÷ (1+r)) + (Annual Cash Flow/(1+r)²) + (Annual Cash Flow/(1+r)³) + (Terminal Value/(1+r)³)

Project’s NPV = (-80000) + (37,417/1.1) + (37,417/1.1²) + (37,417/1.1³) + (13250/1.1³)

Project’s NPV = $23005

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The complete question is as follows:

Thomson Media is considering some new equipment whose data are shown below. The equipment has a 3-year tax life and would be fully depreciated by the straight-line method over 3 years, but it would have a positive pre-tax salvage value at the end of Year 3, when the project would be closed down. Also, some new working capital would be required, but it would be recovered at the end of the project’s life. Revenues and other operating costs are expected to be constant over the project’s 3-year life. What is the project’s NPV?

Thomson Media Is Considering Some New Equipment Whose Data Are Shown Below. The Equipment Has A 3-year

Related Questions

The graph of f(x)=x2 was transformed to create the graph of g(x)=−f(x−1)+2 Which is the graph of g ?

Answers

To graph g(x) = -f(x - 1) + 2, we need to apply the following transformations to the graph of f(x) = x^2:

1. Shift the graph of f(x) to the right by 1 unit, which means replacing x with (x - 1) in the equation. This gives us: f(x - 1) = (x - 1)^2.

2. Reflect the graph of f(x - 1) about the x-axis by multiplying the expression by -1. This gives us: -f(x - 1) = -(x - 1)^2.

3. Shift the graph of -f(x - 1) up by 2 units. This gives us: g(x) = -f(x - 1) + 2 = -(x - 1)^2 + 2.

Therefore, the graph of g(x) is a downward-facing parabola that has been shifted 1 unit to the right and 2 units up from the graph of f(x) = x^2.

4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?​

Answers

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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What is the formula forfinding the area of a circle using its radius or diameter.

Answers

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill? ​

Answers

Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

(Diversifying Portfolios MC)
Two investment portfolios are shown with the amount of money placed in each investment and the ROR.
Investment
Tech Company Stock $2,800
Government Bond $3,200
Junk Bond
$950
Common Stock
$1,500
Portfolio 1 Portfolio 2
$1,275
$2,200
$865
$1,700
O Portfolio 2 earns $38.17 more.
Which portfolio earns the most, and by how much?
O Portfolio 1 earns $38.17 more.
O Portfolio 1 earns $76.20 more.
ROR
-3.75%
2.95%
4.56%
O Portfolio 2 earns $76.20 more..
7.18%

Answers

Answer:  Portfolio 1:

Tech Company Stock: $2,800 * 2.95% = $82.60

Government Bond: $3,200 * 4.56% = $145.92

Total return for Portfolio 1 = $82.60 + $145.92 = $228.52

Portfolio 2:

Junk Bond: $950 * (-3.75%) = -$35.63

Common Stock: $1,500 * 7.18% = $107.70

Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07

From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.

 

Step-by-step explanation:

Please answer this without making mistakes

Please answer this without making mistakes

Answers

Answer:

1 pound = 16 ounces

2 pounds = 32 ounces

Given:

Cost for 2 pounds of bananas = $1.28

Price per ounce = 1.28/32    [∵2 pounds = 32 ounces]

=$0.04

Hence the cost of bananas per ounce is $0.04

Hope it helped!

Solve for x. 4x + 5 = 20
a X = 5/4
b X = 15/4
c X = 3.5
d X = 15/3

Answers

Step-by-step explanation:

4x+5= 204x=20-54x= 15x= 15/4

therefore the answer is option

b) X= 15/4

mark me as brilliest and follow me first.....

Choose the postulate/theorem that proves the triangles congruent.
•SSS
•SAS
•ASA
•AAS
•HL
•Not Congruent

Choose the postulate/theorem that proves the triangles congruent.SSSSASASAAASHLNot Congruent

Answers

SAS i think I saw it

I need help pleaseeeeeeeeeeeeeeeeeeee

I need help pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

In​ Joe's fish​ tank, there are 7 goldfish and 12 snails. How does the ratio 12​:19 describe​ Joe's fish​ tank?

Answers

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

Which of the following coordinate pairs make the equation x - 9y = 12 true?
(12, 0)

(0, 12)

(3, -1)

(0,-4/3 )

Answers

I believe it would be (12,0)

Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.

Sketch and label a net of the right triangular prism. Each square on the grid represents1 square centimeter.

Answers

The total surface area of the prism is determined as  216 cm².

What is the surface area of the prism?

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Sketch and label a net of the right triangular prism. Each square on the grid represents1 square centimeter.

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

i will give a crown if you are the first one to answer and if you get it right and if you just get it

Answers

81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.

to give someone a crown there has to be 2 answers and it will show up and you can mark the brainliest. you’re welcome :))

Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?

Answers

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's B

Step-by-step explanation:

The original equation is y - (y intercept)= slope(x-(x intercept))

F(x) = x^2. What is g(x)

F(x) = x^2. What is g(x)

Answers

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

f(x) is reflected about the x-axis

Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

- f(x) is translated 4 units down

Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

g(x) = - x² - 4

Which expression is equivalent to (2p + 4) (2p - 4)?

Answers

Answer:

d

Step-by-step explanation:

Answer: 2 (p+ 2(

Step-by-step explanation:

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.

Answers

Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Step-by-step explanation:

Given: Number of visits in 1998 = 1.3 billion

Number of visits in 2002 = 1.5 billion

The average rate of change in the number of public library visits from 1998 to 2002 = \(\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}\)

\(=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}\)

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2

Answers

The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

To find the area of each rhombus, we can use the formula for the area of a rhombus:

Area = (diagonal1 × diagonal2) / 2

Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:

Area = (3.5 cm × 5 cm) / 2

Area = 17.5 \(cm^2\) / 2

Area = 8.75 \(cm^2\)

Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

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Sharleen is considering joining for either 3 months, 8 months, or 12 months. Will the costs for the
two clubs ever be the same? Is one a better deal? Write a summary of the costs for each club and give
Sharleen advice on which one she should choose. Include a graph with your explanation.

Answers

Answer:

More explanation please

Step-by-step explanation:

Can you add how much money is in the problem for each of the 2 clubs for 3, 8 and 12 months? Then people will help you I think

The expressions to represent the costs of each club is $10 + ($15 * m)

Let's begin by writing expressions for the costs of each club:

Multiplayer Madness:

Joining Fee: $50 (one-time payment)

Monthly Fee: $0 (since it's not mentioned, we assume there's no additional monthly fee)

The total cost for Sharleen to join Multiplayer Madness would be the joining fee only, which is $50.

Games Galore:

Joining Fee: $10 (one-time payment)

Monthly Fee: $15 (recurring monthly charge)

The total cost for Sharleen to join Games Galore would be the joining fee plus the cumulative monthly fees over time. Let's represent the total cost of Games Galore as a function of the number of months (m) Sharleen stays in the club:

Total Cost of Games Galore = Joining Fee + (Monthly Fee * Number of Months)

Total Cost of Games Galore = $10 + ($15 * m)

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Complete Question:

Your friend Sharleen is thinking about joining an online gaming club. She's trying to decide between Multiplayer Madness and Games Galore. Her brother insists that Multiplayer Madness is a better deal. Multiplayer Madness charges a joining fee of $50. It's a bit more expensive than Games Galore, a club that charges a $10 joining fee. But, Games Galore charges a fee of $15 a month. That's $5 more each month than the fee charged at Multiplayer Madness! Checklist Did You... Write expressions to represent the costs of each club?

There is a bag filled with 5 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting exactly 1 blue?

Answers

Answer:

5 out of 9

Step-by-step explanation:

You have 5 blue marbles and for red marbles which makes a total of 9 marbles in a bag. If you take one marble out and put it back in another marble out and put it back at random the probability of getting a blue marble is 5 out of 9.

The probability of getting exactly 1 blue marble from a bag which is  filled with 5 blue and 4 red marbles is 40/81.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

There is a bag filled with 5 blue and 4 red marbles. Thus, the total number of marble in the bag are,

\(5+4=9\)

One marble is taken at random from the bag, the color is noted and then it is replaced. The probability of getting blue marble is,

\(P(B)=\dfrac{5}{9}\)

The probability of getting red marble is,

\(P(R)=\dfrac{4}{9}\)

The Probability of getting red marble in first pick and  probability of getting blue marble in second pick is,

\(P_1=\dfrac{4}{9}\times\dfrac{5}{9}=\dfrac{20}{81}\)

The Probability of getting blue marble in first pick and probability of getting red marble in second pick is,

\(P_2=\dfrac{5}{9}\times\dfrac{4}{9}=\dfrac{20}{81}\)

The exactly 1 blue is taken out, when first marble is red and second is blue or the first one is blue and second one is red. Thus, the probability of getting exactly 1 blue is,

\(P=P_1+P_2\\P=\dfrac{20}{81}+\dfrac{20}{81}\\P=\dfrac{40}{81}\)

Thus, the probability of getting exactly 1 blue marble from a bag which is  filled with 5 blue and 4 red marbles is 40/81.

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please help please please​

please help please please

Answers

Answer:

146 feet

Step-by-step explanation:

The missing angle is 146 degrees. May I please have Brainiest?????

Find the distance around each figure. Use 3.14 for pi. 5 feet for radius

Answers

Answer:

C≈31.42ft

Step-by-step explanation:

Solution

C=2πr=2·π·5≈31.41593ft

What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear

What type of association does the graph show?A. positive nonlinearB. positive linearC. negative nonlinearD.

Answers

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

B. Positive linear association

A label that wraps around a box of golf ball covers 75% of its lateral surface area. What is the value of x?

A label that wraps around a box of golf ball covers 75% of its lateral surface area. What is the value

Answers

we know the label is 3 inches wide and since the box is 2 inches tall, is the label is 2 inches tall only on the front and back of the box, namely the sides, the LATERAL area, the lateral area for the label doesn't include the top and bottom.  How many inches is the label laterally?

\(\stackrel{front}{(3\cdot 2)}+\stackrel{back}{(3\cdot 2)}\implies 12\)  and we know that's 75% of the total lateral area.

what about the total lateral area, how many inches is it?

\(\stackrel{front}{(x\cdot 2)}+\stackrel{back}{(x\cdot 2)}\implies 4x\)

so, we know that 4x is the 100% of the lateral area, and we also know that 12 is 75% of it.

\(\begin{array}{ccll} \stackrel{lateral}{area}&\%\\ \cline{1-2} 4x&100\\ 12&75 \end{array}\implies \cfrac{4x}{12}=\cfrac{100}{75}\implies \cfrac{x}{3}=\cfrac{4}{3} \\\\\\ 3x=12\implies x=\cfrac{12}{3}\implies x=4\)

Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase. ​

Answers

From
E
q
n
(
1
)
we have
A
c
=
20

B
c

...
...
E
q
u
a
t
i
o
n
(
1
a
)

Using
E
q
n
(
1
a
)
substitute for
A
c
is
E
q
n
(
2
)

$
0.5
(
A
c
)
dddd
+
$
0.75
B
c
=
$
11.50

...
...
...
E
q
u
a
t
i
o
n
(
2
)
$
0.5
(
20

B
c
)
+
$
0.75
B
c
=
$
11.50

$
10.0

$
0.5
B
c
+
$
0.75
B
c
=
$
11.50

Subtract
$
10
from both sides
$
0.75
B
c

$
0.5
B
c
=
$
1.50

$
0.25
B
c
=
$
1.50

To 'get rid' of the decimals multiply both sides by 100
$
25
B
c
=
$
150

Divide both sides by
$
25

B
c
=
6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using
E
q
n
(
1
)
substitute for
B
c

A
c
+
B
c
=
20

...
...
...
...
...
...
...
.
E
q
u
a
t
i
o
n
(
1
)

A
c
+
6
=
20

Subtract 6 from both sides
'
A
c
=
14

So the answer is:
14 apples and 6 bananas

Answer: wow that's crazy cause I need help with the same answer

Step-by-step explanation:

A data set has 10 values.

The mean of the data in the set is 12.
The mean absolute deviation of the data in the set is 4.

What must be true?
Each value in the data set varies from 12 by exactly 4.

Each value in the data set varies from 12 by an average of 4.

No values in the data sete are less than 8 or greater than 16.

Half of the values in the data set are 8 and half of the values in the data set are 16.

How do you find the answer?

Answers

The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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Translate the following algebraic inequality into a verbal inequality.
2x +6 > 20

Answers

X >7. I hope this helps, happy learning.

Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).

Answers

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

Answers

Answer:

0.5

Step-by-step explanation:

Given that:

Irina measured the weight of her dog to be 13 pounds.

The greatest possible error that could have to occur will be the maximum error.

Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds

Then;

The greatest possible error that could have to occur = 13.0 - 12.5 pounds

The greatest possible error that could have to occur = 0.5 pounds

Answer:

0.5

Step-by-step explanation:

EDGE 2020 Unit Test

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