Doug Bernard specializes in cross-rate arbitrage. He notices the following quotes: Swiss franc/dollar = SFr1.5995/$ Australian dollar/U.S. dollar = A$1.8242/$ Australian dollar/Swiss franc = A$1.1458/SFr Ignoring transaction costs, does Doug Bernard have an arbitrage opportunity based on these quotes? If there is an arbitrage opportunity, what steps would he take to make an arbitrage profit, and how much would he profit if he has $1,000,000 available for this purpose? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Arbitrage profit

Answer:

(a) To write 9 N as a number in standard form, we need to express it as a number between 1 and 10 multiplied by a power of 10. To do this, we can divide 9 N by 10 until we get a number between 1 and 10:

9 N = 480 × 10^9

9 N ÷ 10 = 48 × 10^9

9 N ÷ 10^2 = 4.8 × 10^9

9 N ÷ 10^3 = 0.48 × 10^9

9 N ÷ 10^4 = 0.048 × 10^9

9 N ÷ 10^5 = 0.0048 × 10^9

Therefore, 9 N = 4.8 × 10^10.

(b) To write N as a product of powers of its prime factors, we can first factorize N:

480 × 10^9 = 2^5 × 3 × 5 × 10^9

Then, we can express 10^9 as 2^9 × 5^9 and substitute it in the factorization:

2^5 × 3 × 5 × 2^9 × 5^9 = 2^14 × 3 × 5^10

Therefore, N = 2^14 × 3 × 5^10.

(c) To find the largest factor of N that is an odd number, we need to remove all factors of 2 from the factorization of N. We can do this by dividing N by 2 as many times as possible:

N = 2^14 × 3 × 5^10

N ÷ 2 = 2^13 × 3 × 5^10

N ÷ 2^2 = 2^12 × 3 × 5^10

N ÷ 2^3 = 2^11 × 3 × 5^10

N ÷ 2^4 = 2^10 × 3 × 5^10

N ÷ 2^5 = 2^9 × 3 × 5^10

N ÷ 2^6 = 2^8 × 3 × 5^10

N ÷ 2^7 = 2^7 × 3 × 5^10

N ÷ 2^8 = 2^6 × 3 × 5^10

N ÷ 2^9 = 2^5 × 3 × 5^10

N ÷ 2^10 = 2^4 × 3 × 5^10

N ÷ 2^11 = 2^3 × 3 × 5^10

N ÷ 2^12 = 2^2 × 3 × 5^10

N ÷ 2^13 = 2 × 3 × 5^10

N ÷ 2^14 = 3 × 5^10

Therefore, the largest factor of N that is an odd number is 3 × 5^10.

In San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas according to the mean of both cities.

Data of Austin, Texas is as follows:

36.00, 21.41, 52.27, 22.33, 34.70, 46.95, 16.07, 31.38, 37.76 and 19.68.

Number of values ( n ) = 10

Sum of the values = 318.23

Average of the rainfall in Austin, Texas is equal to:

Mean = Total sum / No. of Values

Mean = 318.23 / 10

Mean = 31.82 in

Data of San Antonio, Texas is as follows:

46.27, 28.45, 45.32, 16.54, 21.34, 47.25, 13.76, 30.69, 37.39 and 17.59.

Number of values ( n ) = 10

Sum of the values = 304.6

Average of the rainfall in San Antonio, Texas is equal to:

Mean = Total sum / No. of Values

Mean = 304.6 / 10

Mean = 30.46 in

So, comparatively the average of San Antonio is higher.

Therefore in San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas.

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Answer:

$27.50

Step-by-step explanation:

If the sales tax rate is 10%, then Ariana will pay 10% of the price of the cowboy hat as tax.

To calculate the amount of tax Ariana will pay:

First, we need to calculate the amount of the tax by multiplying the price of the cowboy hat by the sales tax rate: 0.10 x $25 = $2.50

So, the amount of tax that Ariana will pay is $2.50.

Therefore, Ariana will pay $2.50 in tax when she buys the cowboy hat priced at $25. Her total cost will be $25 + $2.50 = $27.50.

Answer:

2.50$

Step-by-step explanation:

Hope that helps ✌

The inverse function for the given function F(x)=1/x² -3x +1  is given by

f⁻¹(x) =(3 ± √(9 + 4/(x - 1))) /2.

Function f(x) is equals to,

F(x)=1/x² -3x +1

Inverse of a function, we need to swap the positions of the x and y variables and then solve for y.

Let's start with the original function

f(x) = 1/x^2 - 3x + 1

Now we will swap x and y,

⇒ x = 1/y^2 - 3y + 1

Next, Solve for y in terms of x

⇒ x = 1/y^2 - 3y + 1

⇒ x - 1 = 1/y^2 - 3y

⇒ 1/(x - 1) = y^2 - 3y

⇒ 1/(x - 1) = y(y - 3)

⇒ y(y - 3) = 1/(x - 1)

⇒ y^2 - 3y - 1/(x - 1) = 0

Using the quadratic formula, solve for y to get inverse function we have,

y = (3 ± √(9 + 4/(x - 1))) / 2

Therefore, the inverse function of f(x) is equal to f⁻¹(x) =(3 ± √(9 + 4/(x - 1))) /2.

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The above question is incomplete, the complete question is:

F(x)=1/x squared -3x +1 then Find the inverse

The secοnd beach ball has a vοlume abοut 57,791.69 cubic cm less than the first beach ball.

Each thing in three dimensiοns takes up sοme space. The vοlume οf this area is what is being measured. The space οccupied within an οbject's bοrders in three dimensiοns is referred tο as its vοlume. It is sοmetimes referred tο as the οbject's capacity.

The vοlume οf a sphere with radius r is given by the fοrmula V = (4/3)πr³.

Fοr the first beach ball, with radius 24 cm, the vοlume is represented by the equatiοn-

V1 = (4/3)π(24 cm)³

V1 ≈ 57,904.79 cubic cm

Fοr the secοnd beach ball, with radius 3 cm, the vοlume is represented by the equatiοn -

V2 = (4/3)π(3 cm)³

V2≈ 113.10 cubic cm

The difference in vοlume between the twο beach balls is -

V1 - V2 ≈ 57,904.79 - 113.10

V1 - V2 ≈ 57,791.69 cubic cm

Therefοre, tο the nearest cubic centimeter, the vοlume is 57,792 cubic cm difference in bοth the beach balls.

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Answer:

B) 3

Step-by-step explanation:

219 / 73= 3

3 x 73= 219

Answer: 3

Step-by-step explanation:

Step-by-step explanation:

Mathematics for Social Science 1011 PDF

Answer: 37.5

Step-by-step explanation:

The statement "Whereas the carbohydrate and fat you eat is used mostly to give you energy, protein is used mostly to build and maintain your body" is True.

What are carbohydrates, fats, and proteins?

Carbohydrates, fats, and proteins are the three macronutrients that supply our bodies with energy.

All of these nutrients, particularly proteins, are required for the development and maintenance of the human body.In terms of providing energy, carbohydrates and fats are the most effective.

Carbohydrates are the body's primary source of energy. When you consume carbohydrates, they are broken down into glucose, which is transported throughout the body to be used as energy.

Fat is the second-most efficient source of energy, and it is utilized when carbohydrate stores are depleted. Fats are broken down into fatty acids and transported throughout the body, where they are utilized as an energy source. Proteins are not the body's preferred source of energy; instead, they are mostly used to build and repair tissues in the body.

In summary, while carbohydrates and fats are primarily used to produce energy, protein is mostly used for body maintenance and growth.

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Answer:

5.

[tex]≈1017.9 \: {ft}^{2} [/tex]

6.

[tex]≈50.3 \: {yd}^{2} [/tex]

7.

[tex]≈1809.6 \: {mm}^{2} [/tex]

8.

[tex]≈1256.6 \: {cm}^{2} [/tex]

Step-by-step explanation:

I added a photo of my solution, I hope I did it right

Answer:

7:11

Step-by-step explanation:

To find the ratio, we must find the number of toys in the second box and the total number of toys in both boxes. First, we know that there are 7 toys in the second box. So our ratio is looking like this so far: 7:___.

Next, we must find the total. The total is 4+7 because we need to find the total number of toys in both boxes, and 4+7 is 11. The ratio is 7:11. So now, we finished our ratio.

The best interpretation of the z score of 0. 47 from the sample proportion is C. The sample proportion is 0.47 standard errors greater than the hypothesized value of the population proportion.

The z-score, also known as the standard score, represents the number of standard deviations a data point or observation is away from the mean of a distribution.

A sample proportion with a z-score of 0.47 can be best understood as the sample proportion is 0.47 standard errors higher than the population proportion's estimated value.

This means that the observed sample proportion is 0.47 standard deviations above the hypothesized population proportion under the null hypothesis.

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Answer:

64 im pretty cxsure

Step-by-step explanation:

The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

To find the rate of increase of the number of bacteria in a culture, we can use the formula

rate of change = change in number of bacteria/time elapsed.

In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.

Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

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The solution to the system of equations is: x = 1/2 and y = 4. The steps and justification are given below.

Given the equations, -4x + y = 2 and 4x + y = 6, the following shows the justification for each step taken to solve the system.

Step                                   Justification                                            

1. 2y = 8                            1. Add the equations

2. y = 4                             2. Divide each side by 2

3. 4x + y = 6                     3. Write equation 2

4. 4x + (4) = 6                   4. Substitute 4 for y

5. 4x = 2                           5. Subtract 4 from each side

6. x = 1/2                           6. Divide each side by 4

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Answer:

y = 4x + 10

Step-by-step explanation:

2y - 8x = 20 ( add 8x to both sides )

2y = 8x + 20 ( divide through by 2 )

y = 4x + 10

Answer: y=4x+10

Step-by-step explanation:

Sofia's favorite bag of chips were on sale for $5 for two bags. If she wanted to buy seven bags, the cost would be $17.50.

To calculate this, we need to use the formula for finding the total cost of a given number of items: Total Cost = Number of Items x Cost Per Item.In this case, we need to find the total cost of seven bags, so the equation looks like this: Total Cost = 7 x $5.

We can solve this equation by multiplying the two numbers together. 7 multiplied by 5 equals 35. However, the question is asking us to find the total cost of seven bags, which is $17.50. To convert the answer from 35 to 17.50, we need to divide 35 by two: 35 divided by 2 equals 17.50.

Therefore, the cost of seven bags of Sofia's favorite chips would be $17.50.

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The three interior angles of a triangle measure z degrees , (x+5)degrees , and (x+25) degrees. So, the measure of one of the three angles is x+5.

The sum of the interior angles of a triangle is always 180 degrees.

Therefore, we can write an equation using the given angle measures:

z + (x+5) + (x+25) = 180

Simplifying the equation, we get:

2x + 30 + z = 180

Subtracting 30 and z from both sides, we get:

2x = 150 - z

Dividing both sides by 2, we get:

x = (150 - z) / 2 - 5

So the measure of one of the three angles is x+5, which is:

x + 5 = [(150 - z) / 2 - 5] + 5

x + 5 = (150 - z) / 2

x + 5 = 75 - z/2

Therefore, one of the angles measures (x+5) degrees.

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The graph of a certain geometric sequence can be described as a curve increasing from left to right. A sequence that would have a similar graph is the geometric sequence whose common ratio is less than 1.

A geometric sequence is defined as a sequence of numbers where each number is the product of the previous number and a fixed constant. The fixed constant is known as the common ratio, and it is denoted by r.The nth term of a geometric sequence is given by the formula an= ar^(n-1) where a is the first term and r is the common ratio of the sequence.

Similar graphIn a similar graph, the shape of the graph is the same, but the size may be different. Thus, the sequence that would have a similar graph to the given sequence is a geometric sequence whose common ratio is less than 1 because in such a sequence, the successive terms will be smaller than the previous term.This means that as we move from left to right, the values will gradually decrease in size, and the graph will look like a curve increasing from left to right.

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An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

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Answer:

If we assume that the proportion of male and female internet users in the second study is the same as the first study (i.e., 60% female and 40% male), and that the percentage of male and female internet users who create their own blog is the same as the first study (i.e., 17% for male and 22% for female), then we can calculate the percentage of teen bloggers who are female and male.

First, we can calculate the number of male and female internet users in the second study:

Number of female internet users = 1000 x 0.5 x 0.6 = 300

Number of male internet users = 1000 x 0.5 x 0.4 = 200

Next, we can calculate the number of female and male teen bloggers in the second study, based on the percentages from the first study:

Number of female teen bloggers = 300 x 0.22 = 66

Number of male teen bloggers = 200 x 0.17 = 34

Finally, we can calculate the percentage of teen bloggers who are female and male:

Percentage of teen bloggers who are female = (66 / 1000) x 100% = 6.6%

Percentage of teen bloggers who are male = (34 / 1000) x 100% = 3.4%

Therefore, in the second study, 6.6% of teen bloggers would be female and 3.4% of teen bloggers would be male.

No, you do not have to worry about perfect multicollineariy in the multiple regression model.

Perfect multicollinearity occurs when two or more independent variables are perfectly correlated, and it can lead to inaccurate estimates of the coefficients. The Ordinary Least Squares (OLS) estimator can still be computed in this situation, but the standard errors of the coefficients will be inflated. To minimize the effects of multicollinearity, you can use regularization methods such as Ridge Regression or Lasso Regression.

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Answer: Substitute x back into one of the equations to solve for y.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: I believe the answer is 7

Step-by-step explanation:

To solve this I just divided 56 by 8, the answer then is 7. Hope this helps!!!

The conic section represented by the equation. 2x + 5y - 7 = 0 is a line

The given equation is 2x + 5y - 7 = 0.

To determine the conic section represented by this equation, we can use the discriminant D:

D = B^2 - 4AC

where A, B, and C are the coefficients of x^2, xy, and y^2, respectively, in the general form of the conic section equation Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0.

In this case, A = 0, B = 0, and C = 0 (since there are no x^2, xy, or y^2 terms), so the discriminant is:

D = 0^2 - 4(0)(0) = 0

Since the discriminant is 0, the conic section represented by the equation 2x + 5y - 7 = 0 is a degenerate case, which is a line.

Therefore, the answer is "line".

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The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

Answer:

13,161.5

Step-by-step explanation:

5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5

90 mm Hg is Zigg's mean arterial pressure.

Here's the formula for calculating MAP: MAP = (CO x SVR) + CVPR

where:

CO stands for cardiac output (measured in liters per minute).

SVR stands for systemic vascular resistance (measured in mm Hg/L/min).

CVPR stands for central venous pressure (measured in mm Hg).

Now, let's get started with the calculation of MAP.

First, let's calculate CO (cardiac output): CO = HR x SV

where:

HR is heart rate (measured in beats per minute).

SV is stroke volume (measured in milliliters per beat).

CO = 140 bpm x 95 mlCO = 13300 ml/minCO = 13.3 L/min

Next, we need to calculate SVR (systemic vascular resistance).

The formula for calculating SVR is: SVR = (MAP - CVP) / CO

where:

MAP is mean arterial pressure (measured in mm Hg).

CVP is central venous pressure (measured in mm Hg).

CO is cardiac output (measured in liters per minute).

Since we don't have CVP in this question, let's assume it to be zero.

SVR = (MAP - 0) / 13.3 L/minSVR = MAP / 13.3 L/min

Now, we can rearrange the above equation to calculate

MAP:

MAP = SVR x 13.3 L/minMAP = 60 mm Hg (diastolic pressure) + 1/3 (systolic pressure - diastolic pressure)MAP = 60 mm Hg + 1/3 (150 mm Hg - 60 mm Hg)MAP = 60 mm Hg + 30 mm HgMAP = 90 mm Hg

Therefore, Ziggy's mean arterial pressure (MAP) is 90 mm Hg.

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