Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?

Answer:

In Quadrant I or III

Step-by-step explanation:

We know if the sign was not showing closed inequality facing other way

xy < 0 would be in the 2nd or 4th quadrant.

If xy = 0  then either xy or both are on the x or y axis

But if xy>0 then they are in quadrant I or III

If xy>0, then the points of P(x,y) lies in Quadrant I and III

According to the given condition;

This means that the product of x and y is a positive number.

Hence, either both x and y-coordinates are positive or are both negative

Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.

Read more on Cartesian plane;

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Answer:

2,4,5

Step-by-step explanation:

Do not repeat numbers, u need to put them in order from least to greatest, and range is for the y

Replace x with a number and solve for y. Plot the points out on a graph.

See the attached picture.

Rotate the image.

Answer:

254 square inches

Step-by-step explanation:

A=pi*r^2

A=pi*(d/2)^2

A=3.14*(18/2)^2

A=3.14*(9)^2

A=3.14*81

A=254.34 in^2

So, rounded no the nearest whole, the answer is 254 in^2

Which is option 2 or B

Answer:

f(3π/4) = -π

A = π

b = 2

Step-by-step explanation:

Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π

Given the general equation: f(x) = A sin(bx), its period is calculated as:

period = 2π/b

which is equal to π, then:

2π/b = π

b = 2

Replacing x = π/4 into the equation of the function, we get:

A sin(2(π/4)) = π

A sin(π/2) = π

A = π

Answer:

B

Step-by-step explanation:

Could you show the given circle please?

Answer: The answer is C.

Step-by-step explanation: I just did it

Answer:

Even

Step-by-step explanation:

If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.

Answer:

8.7 plus b equals 54.6

Step-by-step explanation:

4(8.7) + b = 54.6.

b = 19.8 cm.

The sum of the sides = the perimeter = 3a + a + b = 54.6.  

Now a = 8.7, so:

3(8.7) + 8.7 + b = 54.6

4(8.7) + b = 54.6.

b = 54.6 - 4(8.7)

b = 19.8.

Answer: D.) 34.8 + b = 54.6

Step-by-step explanation: i hope this helps :)

Answer:

To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.

I hope that made sense to you!

Hope this helped! Have a great day! :)

Answer:

40cm^2

Step-by-step explanation:

A=a+b/2×h

A=6+10/2*5

A=16cm/2*5cm

A=8cm*5cm

A=40cm^2

Answer:

[tex]4.5 \: miles[/tex]

Step-by-step explanation:

[tex]3 \: miles \: in \: 28 \: minutes.[/tex]

[tex]x \: miles \: in \: 42 \: minutes.[/tex]

[tex]28x=42 \times 3[/tex]

[tex]28x=126[/tex]

[tex]\frac{28x}{28}=\frac{126}{28}[/tex]

[tex]x=\frac{9}{2}[/tex]

Answer:

[tex]4.5 \: \: miles \\ [/tex]

Step-by-step explanation:

[tex]3 \: \: miles = 28 \: \: min \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \: \: \: = 42 \: min[/tex]

use cross multiplication

[tex]42 \times 3 = 28 \times x \\ 12 6 = 28x \\ \frac{126}{28} = \frac{28x}{28} \\ x = 4.5 \: \: miles[/tex]

Answer:

The answer is option (B).

Answer:

use the indices formula

Answer:

$350 (profit)

Step-by-step explanation:

add the expenses together and subtract the product from the revenue

9,000 + 200 = 9,200

9,550 - 9,200 = 350

Answer:

7 and 8

Step-by-step explanation:

the square root is 7.6

so it lies between 7 and 8

Two whole numbers that lie between √58 are 7 & 8

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Given here, √58 =7.6517

Thus two whole numbers that are consecutive and √58 lies in between these two numbers are 7 & 8

Hence, Two whole numbers that lie between √58 are 7 & 8

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Answer:

7.07

Step-by-step explanation:

f(x) = 2(x)^2 + 5 sqrt(x+2)

Let x= 0

f(x) = 2(0)^2 + 5 sqrt(0+2)

      = 2*0 + 5 sqrt(2)

      = 0  + 5 sqrt(2)

     = 5 sqrt(2)

     = 7.07106

To the nearest hundredth

    = 7.07

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

The point which is farthest from the origin is required.

The point which is the greatest distance from the origin is [tex](4,5)[/tex]

The distance of a point from origin is given by

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

[tex](1,6)[/tex]

[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]

[tex](2,6)[/tex]

[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]

[tex](4,5)[/tex]

[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]

[tex](5,1)[/tex]

[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]

The largest number is [tex]\sqrt{41}[/tex]

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Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer:

B

Step-by-step explanation:

Edge2021

Answer:

x=36

Step-by-step explanation:

3x+2x=180 (because they're supplementary angles)

5x=180

x=36

Answer:

its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

Answer:

D

Step-by-step explanation:

we can set up the equation as 15x = 15x^2

factoring we get

15x(x-1) = 0

So the solutions are when x are 0 and 1

this gives the coordinates

(0,0) and (1,15)

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Answer:

2/7

Step-by-step explanation:

Since 4 out of 14 times it landed on blue, it must have a 4/14 experimental probability of 4/14 for landing on blue.  4/14 simplifies to 2/7.

Answer:

Answer is 16 ft.

The answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The circumference of the circle having a diameter of 5 ft will be 15.7 ft.

The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.

Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:

C = 2πr

Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft

By putting the value of radius in the formula we get

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 2.5=15.7\ ft[/tex]

Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.

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Answer:

150 degrees

Step-by-step explanation:

90+30=120.

Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.