Mathwiz wya?? pic below i need help asap

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

16

Step-by-step explanation:

2 dozen = 24 cookies

24*(2/3) = 16 cookies are oatmeal

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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The four steps to copy and paste involve selecting the text, copying the text, selecting the cursor at destination and pasting the text.

When you copy or cut data from its original place, the computer temporarily stores it in a memory region called the clipboard. Data that has been copied or cut is retrieved from the clipboard and pasted to the new spot when you paste it.

When you copy text, a copy of the original text is made and stored in the clipboard; the original text stays in its original place. The original text is taken out of its original spot and placed in the clipboard when you cut text. The original text is retained when you copy it, but it is removed from its original spot when you cut it. The copied or cut text can be pasted into another area in both situations.

You can follow the following 4 steps to copy and paste text or other items in a computer application:

1. By highlighting it with your pointer, you may choose the text or object that you wish to copy.

2. Right-click the text or object you want to copy, then choose "Copy" from the context menu. As an alternative, you may copy by pressing "Ctrl+C" on your keyboard.

3. Place the cursor where you wish to paste the text or object that was copied.

4. "Paste" may be found in the context menu when you right-click the destination. As an alternative, you may paste by using "Ctrl+V" on your keyboard.

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Answer:17

Step-by-step explanation:

20-3=17

Answer:

70 Km/ h

Step-by-step explanation:

speed = \(\frac{distance }{time}\) = \(\frac{210}{3}\) = 70 Km/h

1) The dimension of the base of the pool is; (x + 3) and (x + 8)

2) The volume of the pool when x = 3 ft is;  198 ft³

3) If the volume is 100 ft³ of water, the height x is; 2 ft

4) If the maximum capacity of the pool is 520 ft³, the maximum depth is; 5 ft

We are given that the volume of water in a rectangular, in-ground, swimming pool is; V(x) = x³ + 11x² + 24x

where;

V(x) is the volume in cubic feet when the water is x ft high

1) V(x ) =x³ + 11x³ + 24x

V(x) is the volume in cubic feet when the water is x ft high

Factorizing the polynomial into its' factors gives;

V(x) = x(x² + 11x + 24)

V(x) = x(x + 8)(x + 3)

The water is x ft high and so the dimensions of the base of the pool are (x + 3) and (x + 8)

2) We want to find the volume of the pool when x = 3 ft. Thus;

V(3) = 3(3 + 8)(3 + 3)

V(3) = 3 (11)(6)

V(3) = 198 ft³

3) If the volume is 100 ft³ of water, the height x is calculated as;

x(x + 8)(x + 3) = 100

Solving for x gives us;

x = 2 ft

4) If maximum capacity of the pool is 520 ft³, then the maximum depth is;

x(x + 8)(x + 3) = 520

Solving for x gives us;

x = 5 ft

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The length of the remaining rope is approximately 263.49 centimeters long.

To find the length of the remaining rope, we first need to convert the given lengths to a common unit. Since the initial rope length is given in centimeters (cm), we should convert the two cut pieces to centimeters.
1 meter (m) is equal to 100 centimeters (cm).
\(\frac{15}{7}\) m = (\(\frac{15}{7}\) ) × 100 cm = 214.29 cm (approx.)
\(\frac{29}{9}\) m = (\(\frac{29}{9}\)) × 100 cm = 322.22 cm (approx.)
Now, we can find the total length of the two cut pieces:
Total cut length = 214.29 cm + 322.22 cm = 536.51 cm (approx.)
Finally, we can find the length of the remaining rope by subtracting the total cut length from the initial rope length:
Remaining rope length = 800 cm - 536.51 cm = 263.49 cm (approx.)
So, the remaining rope is approximately 263.49 centimeters long.

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Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up Equation

(7x - 1) + 80 + (6x - 3) = 180

Step 2: Solve for x

Answer: x = 8

Step-by-step explanation:

Hoped this helped

The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

The inequality represented by the given number line is; -4 ≥ x ≥ 5

From the given number line we can find the inequality. Some of the rules are that;

For a shaded circle pointing to the left means less than or equal to (≤)

For a shaded circle pointing to the right means greater than or equal to (≥).

For an unshaded circle pointing to the left means less than (<)

For a shaded circle pointing to the right means greater than (>)

Thus, applying the above to the inequality line gives;

-4 ≥ x ≥ 5

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The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.

Note that the coefficient of the variables may be different by a scale factor.

To get the required equation, we will divide the equation through by 3 as shown;

Divide through by 3;

6x/3 + 3y/3 = 9/3

2x + y = 3

Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

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Answer: A

Step-by-step explanation:

If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

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The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

Answer:

3.357

Step-by-step explanation:

18.8 / 5.6 = 3.357

The equation for the perpendicular bisector of the line segment connecting the points (-3, 8) and (-5, 4) in the form y = mx + b is: y = -2x + 1.

To find the equation of the perpendicular bisector, we will first find the midpoint of the line segment connecting the points (-3, 8) and (-5, 4), which is the point that is equidistant to both points.

Using the midpoint formula, we have: Midpoint = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]= [(-3 + (-5)) / 2, (8 + 4) / 2]= [-4, 6]The slope of the line passing through the points (-3, 8) and (-5, 4) is: m = (y₂ - y₁) / (x₂ - x₁)= (4 - 8) / (-5 - (-3))= -2/2= -1

So, the slope of the line perpendicular to this one is the negative reciprocal of -1, which is 1. Therefore, the slope of the perpendicular bisector is m = 1

The perpendicular bisector goes through the midpoint (-4, 6), so we can plug this point and the slope into the point-slope form :y - y₁ = m(x - x₁)⇒ y - 6 = 1(x - (-4))⇒ y - 6 = x + 4⇒ y = x + 10Finally, we can rearrange this equation into slope-intercept form :y = mx + b⇒ y = x + 10 - 1x⇒ y = -x + 10 + 1⇒ y = -x + 11Thus, the equation for the perpendicular bisector of the line segment connecting the points (-3, 8) and (-5, 4) in the form y = mx + b is y = -x + 11. This solution is about 250 words long.

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Contrast ratio is a measurement that indicates the ability of a monitor to display colors by comparing the brightness of the brightest white to the darkness of the darkest black. The correct option is A.

The contrast ratio is usually expressed as a ratio, such as 1000:1 or 5000:1, with the first number indicating the brightness of the white and the second number indicating the darkness of the black. The higher the contrast ratio, the better the monitor is able to display a wide range of colors and shades. A high contrast ratio is important for tasks such as image and video editing, as it allows for more accurate color representation and contrast in the final product.

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Full Question ;

This indicates the monitor's ability to display colors by comparing the light intensity of the brightest white to the darkest black.

Question 1 options:

A) Contrast ratio

B) Dot Pitch

C) Active display area

D) Resolution

Contrast ratio Indicates a monitor's ability to display colors by comparing the light intensity of the brightest white to the

darkest black. The term you are looking for is "contrast ratio."

The brightness of the brightest shade (white) to the deepest shade (black) that the system is capable of producing is

measured as the contrast ratio (CR), a display system characteristic.

A display's desired feature is a high ratio of contrast. It resembles dynamic range in certain ways.

Ratings provided by various manufacturers of display devices are not always comparable to one another due to

differences in method of measurement, operation, and unstated variables.

This is because there is no official,  standardised way to measure contrast ratio for a system or its parts, nor is there a

standard for defining "Contrast Ratio" that is accepted by any standards organisation.[1] While other designers have

more frequently taken the effect of the environment into account, manufacturers have historically preferred

measurement methods that isolate the gadget from the system.

This is a key aspect of monitor performance, as it directly impacts the overall image quality and color reproduction.

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First, we have to acknowledge that the spinner's outcome is independent from the disc pulled from the bag.

For the spinner, there are 7 outcomes (7 spots we could land upon) and only 1 of which is pink.  We have a 1/7 chance of landing on pink.

For the bag of discs, there are 12 possible outcomes (12 discs we could pick) and 4 are red.  We have a 4/12 chance of pulling a red disc.  4/12 = 1/3

For the overall probability, since the two events are independent, we multiply the individual probabilities to find the overall probability:

    1/7 · 1/3 = 1/21

We have a 1/21 (about 4.762%) chance of having the spinner land on pink and then pulling a red disc from the bag.

Answer:

The correct response is "0.0129".

Step-by-step explanation:

Given:

\(n=1500\)

\(p=0.47\)

\(np=1500\times 0.47\)

    \(=705\)

\(nq=1500\times (1-0.47)\)

    \(=795\)

Mean of sampling distribution will be:

\(\mu_\hat{p}\) = \(0.47\)

hence,

The standard deviation will be:

⇒  \(\sigma_\hat{p}\) = \(\sqrt{\frac{p(1-p)}{n} }\)

By putting the values, we get

         = \(\sqrt{\frac{0.47(1-0.47)}{1500} }\)

         = \(0.012886686\)

         = \(0.0129\)

a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

The baker has \(1\frac{5}{12}\) cups of flour left after making the sheet cake.

A fraction represents a part of a whole.

Given that  baker needs \(8\frac{1}{2}\) cups of flour for a sheet cake recipe.

Baker has  \(4\frac{2}{3}\) cups of flour in a canister and buys \(5\frac{1}{4}\) cups more.

The flour he has in total =  \(4\frac{2}{3}\) +  \(5\frac{1}{4}\)

=14/3 +21/4

=56+63/12

=119/12

To find how much flour the baker has left after making the sheet cake, we can subtract the amount needed from the total amount:

119/12 - 17/2 = (119 - 102) / 12 = 17/12

Therefore, the baker has \(1\frac{5}{12}\) cups of flour left after making the sheet cake.

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Answer: 8/5

Step-by-step explanation:

2/5 * 4 = (2*4)/5 = 8/5

Answer:

1/10

Step-by-step explanation:

2/5÷1/4=2/5×4/1=2/5×4/1=1/10

Answer:

The area is 336

Step-by-step explanation:

1/2(5×14) (9.6)

(5×7)(9.6)

336

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

The sequence 4-2-3-1 is more likely to be drawn in the lottery than the sequence 1-1-1-1.

The method of equally likely outcomes states that if each outcome in a sample space is equally likely, then the probability of an event is the ratio of the number of outcomes favorable to the event to the total number of possible outcomes.

In this case, there are 4 choices for each of the 4 numbers drawn, so there are 4^4 = 256 possible outcomes.

To determine which sequence of numbers is more likely to be drawn, we need to count the number of outcomes favorable to each sequence.

For the sequence 1-1-1-1, there is only one favorable outcome, namely (1, 1, 1, 1).

For the sequence 4-2-3-1, there are four favorable outcomes: (4, 2, 3, 1), (4, 3, 2, 1), (4, 1, 3, 2), and (4, 1, 2, 3).

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