Abger Electronics, a retail store, restructures its employees’ schedules every six months. The employees are asked for their shift preferences, and the schedules are rearranged according to these preferences. When there is a conflict, those with the best total sales over the past six months are given priority. The following graph and table show the most recent sales records and employee preferences, respectively. A bar graph has month on the x-axis and sales (dollars times 1,000) on the y-axis. Rachel: January, 19. 8; February, 23. 3; March, 16. 5; April, 19. 3. Gary: January, 17. 1; February, 16. 3; March, 17. 2; April, 24. 4. Hannah: January, 17. 8; February, 21. 8; March, 23. 4; April, 16. 9. Christopher: January, 17. 4; February, 16. 1; March, 15. 4; April, 21. 7. Employee 1st Pick 2nd Pick 3rd Pick 4th Pick Rachel 12 p. M. 3 p. M. 9 a. M. 6 p. M. Gary 9 a. M. 6 p. M. 12 p. M. 3 p. M. Hannah 12 p. M. 6 p. M. 3 p. M. 9 a. M. Christopher 9 a. M. 12 p. M. 3 p. M. 6 p. M. Based on this information, when will each employee’s shift begin? a. 9 a. M. - Gary; 12 p. M. - Rachel; 3 p. M. - Christopher; 6 p. M. - Hannah b. 9 a. M. - Christopher; 12 p. M. - Rachel; 3 p. M. - Hannah; 6 p. M. - Gary c. 9 a. M. - Christopher; 12 p. M. - Hannah; 3 p. M. - Rachel; 6 p. M. - Gary d. 9 a. M. - Gary; 12 p. M. - Rachel; 3 p. M. - Hannah; 6 p. M. - Christopher.

Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

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Answer:

The ratio means that for every 9 boys there are 10 girls

Step-by-step explanation:

Answer:th

Step-by-step explanation:

Answer:

this one is hard ill consult my agent

Step-by-step explanation:

i like revenge

Answer:

a. 3/40

b. 37/40

c. 2/39

d. 37/39

e. 3/39

h. 36/39

k. 1/260

m. 37/520

n. 37/520

w. 111/130

Step-by-step explanation:

First person:

a. 3/40

b. 37/40

_____

Second person:

left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total

c. 2/39

d. 37/39

not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.

e. 3/39

h. 36/39

_____

for the final probabilities, just multiply along the tree branches:

k = a × c = 1/260

m = a × d = 37/520

n = b × e = 37/520

w = b × h = 111/130

Answer:

54π

Step-by-step explanation:

To find the volume of the cylinder, you will be using V=π(r^2)h

r = radius = 3

h = height = 6

V = π(3^2)(6) = 54π

The bracket means to multiply.

Answer:

54

Step-by-step explanation:

can i have brainlest

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

101 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the other not-shaded angle in the lower triangle is also 42 degrees.

the shaded angle is therefore

180 - 37 - 42 = 101 degrees

The future value of this annuity would be approximately $20,461.96. The future value of the annuity due would be approximately $22,867.35. The future value of the cash flow mix stream would be approximately $1,886.32.

To calculate the future value of the annuity, we can use the formula for the future value of an ordinary annuity:

\(FV = P * [(1 + r)^n - 1] / r\)

Where: FV = Future value of the annuity

P = Annual deposit amount

r = Interest rate per period

n = Number of periods

a. Using the given values:

P = $2,000 (annual deposit)

r = 12% per period (convert to decimal: 0.12)

n = 7 (number of years)

Plugging these values into the formula:

\(FV = 2000 * [(1 + 0.12)^7 - 1] / 0.12\)

Calculating this expression: FV ≈ $20,461.96

Therefore, the future value of this annuity would be approximately $20,461.96.

b. If "part a" were a future value annuity due, we need to adjust the formula by multiplying it by (1 + r) to account for the additional period:

\(FV_{due}\) = FV * (1 + r)

Plugging in the previously calculated future value (FV) and the interest rate (r):

\(FV_{due}\) = $20,461.96 * (1 + 0.12)

Calculating this expression:

\(FV_{due}\) ≈ $22,867.35

Therefore, the future value of the annuity due would be approximately $22,867.35.

c. To calculate the future value of the cash flow mix stream, we can sum up the future values of each individual deposit using the formula:

\(FV_{mix}\) = FV1 + FV2 + FV3

Where: \(FV_{mix}\) = Future value of the cash flow mix stream, FV1, FV2, FV3 = Future values of each deposit

Given: P1 = $400 (deposit in year 1)

P2 = $800 (deposit in year 2)

P3 = $500 (deposit in year 3)

r = 6% per period (convert to decimal: 0.06)

n1 = 1 (future value for year 1)

n2 = 2 (future value for year 2)

n3 = 3 (future value for year 3)

Using the formula, we calculate the future value of each deposit:

\(FV1 = P1 * (1 + r)^{n1} = 400 * (1 + 0.06)^1 = $424\)

\(FV2 = P2 * (1 + r)^{n2 }= 800 * (1 + 0.06)^2 = $901.44\)

\(FV3 = P3 * (1 + r)^{n3} = 500 * (1 + 0.06)^3 = $560.88\)

Summing up the individual future values:

\(FV_{mix}\) = $424 + $901.44 + $560.88 = $1,886.32

Therefore, the future value of the cash flow mix stream would be approximately $1,886.32.

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A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Answer: a) w = -26, -2

b) x = -4,  -1

c) k = 17, -1

d) z = 65, 935

Multiple choice: D)

Step-by-step explanation:

a) (w+26)(w+2) = 0

w = -26, w = -2

b) (x+4)(x+1) = 0

x = -4, x = -1

c) (k-17)(k+1) = 0

k = 17, k = -1

d) (z-65)(z-935) = 0

z = 65, x z 935

Multiple Choice

D)

Multiply all terms by 2.

The correct answer is 2x - y +7 =0.

Various equations like equation of slope, y-intercept, slope- intercept must be known.

We have a line equation in the provided problem, and we must determine the slope and intercepts in order to create the graph. Assuming that m is the slope and c is the y-intercept, the slope intercept form is known as y=mx+c. We may determine the slope by utilizing the slope intercept formula.

The equation for the line in the problem can be written using the point-slope formula. The linear equation's point-slope form is: (y-y1) = m(x-x1)

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

y - 3 = 2x + 4

2x - y +7 =0

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Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

A small page can fit 4 photographs, and a large one can fit 2 photographs.

From the question, we have the following information available is:

Harper plans to assemble 4 small pages and 1 large page and brought a total of 12 photographs to use.

Savannah brought 28 photographs, which is enough to assemble 4 small pages and 5 large pages.

Let the number of photographs on small pages be x and number of large pages be y

=> 4x + y = 12 __(eq.1)

=> 4x + 5y = 28__(eq.2)

Subtracting equation 2 from equation 1 we get:

4x + y - (4x + 5y) = 12 - 28

4x + y - 4x - 5y = -16

-4y = -16

y = 4

Put the value of y in eq.1

4x + y = 12

4x + 4 = 12

4x = 8

x = 2

Therefore, a small page can fit 4 photographs, and a large one can fit 2 photographs.

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Answer:

A. <1

D. <4

F. <8

Step-by-step explanation:

Given that lines l and m that are crossed by transversal t, the following angles are congruent to <5:

<8 = <5 (vertical angles)

<1 = <5 (corresponding angles)

<4 = <5 (alternate interior angles)

Therefore, the angles that are congruent to <5 are labelled <8, <1, and <4.

Answer:

top right

Step-by-step explanation:

because

Answer:

The correct option is A,3875  passengers

Step-by-step explanation:

The curve of best fit for the date y=-5x^2+60x+3715

For April which month 4  which means that x is 4

By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport  is determined thus.

y=-5*4^2+(60*4)+3715

y=-5*16+240+3715

y=-80+240+3715=3875

The number of passengers that arrived by flights in April, month 4 is 3875

Answer:

It's B

Step-by-step explanation:

Answer:

graph 3

Step-by-step explanation:

adfasdfasdfasfasdf

Therefore , the solution of the given problem of percentage comes out to be  earned 6.1% from the selling of the oranges.

In statistics, "a%" refers to a figure or a statistic that is expression as a percentage of 100. The letters "pct," "pct," and "pc" are also rare abbreviations. It is typically represented by the symbol "%," though. There are no indicators and a flat ratio to the overall amount. In reality, percentages are numbers because their sum almost always equals 100.

Here,

Let's suppose that the lady purchased x oranges.

She charged 60gp for each orange she sold, for a total of 60x gp.

She earned a profit of 3.05 GHC, making her overall profit

=> 3.05 GHC = 305p.

Her cost price (50gp) plus her profit (305p) would equal her total income (selling price), which would be 355gp.

=> 60x = 355

=> x = 355/60

=> x = 5.9167

She consequently purchased six bananas.

b) Since she paid 50gp for the container of oranges, their cost would be 50gp.

c) The total sale price of the oranges would be 360gp, or 60gp for each orange multiplied by 6.

d) She would have earned a profit of (profit/cost price) x 100%.

She made 305p, or 3.05 GHC, in earnings.

Her cost was 50gp, so

=> 6.1%  = (3.05/50) *  100%.

She thus earned 6.1% from the selling of the oranges.

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Option B) 1,390,072 is correct. The population of the city after 12 years can be calculated using the formula for compound interest.

To calculate the population of a city after 12 years using the formula for compound interest, we first need to identify the initial population (P0), the annual interest rate (r), and the number of years (n). We can then plug these values into the formula P = P0(1 + r/100)ⁿ. In this case, the initial population is given as 909327, the annual interest rate is 3.6%, and the number of years is 12. By substituting these values into the formula, we get P = 909327 * (1 + 3.6/100)¹² ≈ 1390072, which represents the population of the city after 12 years. Therefore, option B) 1,390,072 is the correct answer.

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Complete question:

The most recent census for a city indicated that there were 909,327 residents. the population of the city is expected to increase at an annual rate of 3.6 percent each year for the next 12 years. what will the population be at that time?

A) 1,491,958

B) 1,390,072

C) 1,440,114

Answer:

\(a=-4.47\ m/s^2\)

Step-by-step explanation:

Given that,

Initial speed of a car, u = 60 mph = 26.82 m/s

Final speed of a car, v = 10 mph = 4.47 m/s

Time, t = 5 s

We need to find the acceleration of the car. The rate of change of velocity is called the acceleration of an object. It can be given by :

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{4.47 -26.82 }{5}\\\\a=-4.47\ m/s^2\)

So, the acceleration of the car is \(4.47\ m/s^2\) and it is deaccelerating.

To find:

Determine whether the relation is a function and find domain and range.

Solution:

A relation can be identified as a function if each element in domain has only one image in the range of the function.

The first function is shown by a graph. Here, each x-value has a different y-value. So, the given relation is a function.

The domain of the first function is

The range of the first function is

In the second function, -2 has two images that are (0, 3). So, it is not a function.

The domain is (-4, -2, 1, 2) and the range is (-1, 0, 2, 3).

Answer:

1. <3 and <6

2. <4 and <5

Step-by-step explanation:

The interior angles are <3, <4, <5, and <6.

Since you are looking for alternate interior angles, the pairs wouldn't be on the same side.

So the alternate interior angle pair for <3 would be <6 since it's on the other side in the interior way.

The alternate interior angle pair for <4 would be <5 since it's also on the other side in the interior way.

Therefore, the interior angle pairs are:

1. <3 and <6

2. <4 and <5

Hope this helped! If not, please let me know! <3

The equation in point-slope form is y - 5 = (5/3)(x + 5). The general form of the equation is 5x - 3y + 40 = 0.

To find the equation of a line parallel to the given line and passing through the point (-5,5), we can use the point-slope form of a linear equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line. First, we need to find the slope of the given line, and then we can substitute the values into the point-slope form to obtain the equation. Additionally, we can convert the equation to the general form, which is Ax + By + C = 0, by rearranging the terms.

The given line has the equation 5x - 3y - 2 = 0. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation gives us:

-3y = -5x + 2

y = (5/3)x - 2/3

From the equation, we can see that the slope of the given line is 5/3. Since the line we want to find is parallel to this line, it will have the same slope.

Now, using the point-slope form with the point (-5,5) and the slope 5/3, we can write the equation:

y - 5 = (5/3)(x - (-5))

y - 5 = (5/3)(x + 5)

This is the equation of the line in point-slope form.

To convert it to general form, we can multiply through by 3 to eliminate the fraction:

3y - 15 = 5x + 25

5x - 3y + 40 = 0

This is the equation of the line in general form.

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Fernando Designs is considering a project that has the following cash flow and WACC data.

The project's discounted payback can be calculated using the following formula:

PV of Cash Flows = CF / (1 + r)n

Where: CF = Cash Flow, r = Discount Rate n = Time Period

PV of Cash Flows = -$200,000 + $60,000 / (1 + 0.12) + $60,000 / (1 + 0.12)2 + $60,000 / (1 + 0.12)3 + $60,000 / (1 + 0.12)4 + $60,000 / (1 + 0.12)5= -$200,000 + $53,572.65 + $45,107.12 + $38,069.49 + $32,169.11 + $27,168.54= -$4,413.09

Discounted Payback Period (DPP) = Number of Years Before Investment is Recovered + Unrecovered Cost at the End of the DPP / Cash Inflow during the DPP= 4 + $4,413.09 / $60,000= 4.0736 ≈ 4.07 years.

Hence, the project's discounted payback is approximately 4.07 years (option E).

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Answer: The answer is 14.55

Step-by-step explanation:

Answer:

1,164 ÷ 80 is equal to 14.55.

it is becase he  is just a happy dog

Answer:  X = -1/2

Step-by-step explanation:

(i) Y = 2X + 1

(ii) X = 7 - 2Y

We can substitute the value of X from equation (ii) into equation (i) and solve for Y.

Substituting X = 7 - 2Y into equation (i), we have:

Y = 2(7 - 2Y) + 1

Simplifying:

Y = 14 - 4Y + 1

Y = -3Y + 15

Adding 3Y to both sides:

4Y = 15

Dividing both sides by 4:

Y = 15/4

Now, we can substitute this value of Y back into equation (ii) to find X:

X = 7 - 2(15/4)

X = 7 - 30/4

X = 7 - 15/2

X = 14/2 - 15/2

X = -1/2

Therefore, the value of X is -1/2 when solving the given system of equations.

The solution to the system of equations Y=2X+1 and X=7−2Y is X=1 and Y=3.

To solve this system of equations, you can start by substituting y in the second equation with the value given in equation (i) (2x+1). So, the second equation will now be X = 7 - 2*(2x+1).

This simplifies to X = 7 - 4x - 2. Re-arrange the equation to get X + 4x = 7 - 2, which further simplifies to 5x = 5, and thus x = 1.

Now that you have the value of x, you can substitute that in the first equation to find y. Hence, Y = 2*1 + 1 = 3.

Therefore, the solution to this system of equations is X = 1 and Y = 3.

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