while working at a drugstore mandy makes $12 per hour. how many hours will it take mandy to earn a total of $180

IRP does not hold in this situation. The speculator can exploit this by borrowing in the currency with the lower interest rate and investing in the currency with the higher interest rate.

To examine whether Interest Rate Parity (IRP) holds, we need to compare the interest rate differential between the two currencies with the forward exchange rate.

Given:

Japanese Yen interest rate: 0.5%

Australian Dollar interest rate: 6.5%

AUD/JPY spot rate: ¥110/A$

One-year AUD/JPY forward rate: ¥100/A$

The interest rate differential between the two currencies is:

Interest Rate Differential = Australian Dollar interest rate - Japanese Yen interest rate

                       = 6.5% - 0.5%

                       = 6%

According to IRP, the interest rate differential should be equal to the percentage deviation of the forward exchange rate from the spot exchange rate:

Percentage Deviation = (Forward rate - Spot rate) / Spot rate

Plugging in the values:

Percentage Deviation = (¥100/A$ - ¥110/A$) / ¥110/A$

                   = -0.0909 or -9.09%

Since the interest rate differential (6%) does not equal the percentage deviation (-9.09%), IRP does not hold.

If there is an arbitrage opportunity, the speculator can exploit it by borrowing in the currency with the lower interest rate and investing in the currency with the higher interest rate. In this case, the speculator can borrow in Japanese Yen (¥10,000,000) at the lower interest rate of 0.5% and convert it to Australian Dollars at the spot rate of ¥110/A$. The speculator can then invest the borrowed Australian Dollars (A$100,000) at the higher interest rate of 6.5%.

At the end of the year, the speculator would convert the Australian Dollars back to Japanese Yen at the forward rate of ¥100/A$, repay the borrowed amount, and keep the profit.

To calculate the potential profit, we need to consider the interest earned on the investment and the exchange rate difference between the spot rate and the forward rate.

Interest Earned = Borrowed Amount (A$100,000) * Australian Dollar interest rate (6.5%) = A$6,500

Exchange Rate Difference = Spot rate - Forward rate = ¥110/A$ - ¥100/A$ = ¥10/A$

Potential Profit = (Interest Earned + Exchange Rate Difference) * Spot rate

               = (A$6,500 + ¥10/A$) * ¥110/A$

Note that the final profit would be in Japanese Yen.

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Answer:

x=11

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

Triangles always add up to 180 degrees

As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.

1. Sort the data either ascendingly or descendingly.

2. Determine how many items are in the data set.

3. The median is the number in the middle of the list if the number of items is odd.

4. The median is the average of the two middle numbers in the list if the number of items is even.

To figure out the range:

1. Sort the data either ascendingly or descendingly.

2. To determine the range, deduct the smallest number from the largest.

As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.

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The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). To calculate the critical value, we need to find the Z-score associated with a 1% significance level.
To find the critical value, we can use a Z-table or a Z-score calculator. Since the significance level is 1% (0.01), we need to find the Z-score corresponding to the area of 0.99 (1 - 0.01) in the upper tail of the standard normal distribution.
By looking up the Z-table or using a Z-score calculator, we find that the Z-score corresponding to a 0.99 cumulative probability is approximately 2.33. The critical value the manager should use to conduct the hypothesis test is 2.33.

To calculate the probability of Type II error, we need to specify an alternative hypothesis and determine the corresponding population mean value. In this case, the alternative hypothesis is that the mean daily output is greater than 200, and the specified population mean value is 205.

To calculate the probability of Type II error, we need to find the area under the null hypothesis distribution that falls to the right of the critical value. In other words, we need to find the probability that the test statistic, assuming the null hypothesis is true, falls in the rejection region. Since we are assuming the population mean is 205, we can calculate the Z-score using the formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the values, we get:
Z = (205 - 200) / (18 / sqrt(81)) = 5 / (18 / 9) = 5 / 2 = 2.5

Now, we can calculate the probability of Type II error by finding the area under the null hypothesis distribution to the right of the critical value, which is 2.33. Using the Z-table or a Z-score calculator, we find that the probability of Type II error is approximately 0.0062, or 0.62%.
If the sample mean turns out to be 205, we compare it to the critical value. If the sample mean is greater than the critical value (2.33), we reject the null hypothesis. In this case, since the sample mean is 205, which is greater than the critical value of 2.33, we would reject the null hypothesis. The conclusion of the test would be that there is sufficient evidence to suggest that the mean daily output is greater than 200.

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The measure of angle ITE is 44 degrees. In a kite, the diagonals intersect at a right angle and bisect each other. Let's label the points in the kite as follows:

Point P is the intersection of the diagonals.

Point K is at one end of the kite.

Point E is at the other end of the kite, opposite to point K.

Point I is between points K and P.

Point T is between points E and P.

Since the diagonals bisect each other, we know that IP = KP and EP = TP. Let's use this fact to find the measure of angle ITP, which is equal to ITE:

We know that angle KIP = 46 degrees.

Since IP = KP, angle KIP is isosceles, so angle KPI is also 46 degrees.

Similarly, since KEP = 34 degrees, we know that angle KPE is also 34 degrees.

Since EP = TP, angle EPT is also 34 degrees.

We also know that angles KPI and EPT add up to 90 degrees, since they are complementary angles formed by the intersection of perpendicular lines.

Therefore, angle IPT is 90 - 46 = 44 degrees.

Since IP = TP, angles ITP and IPT are congruent, so angle ITP is also 44 degrees.

Therefore, the measure of angle ITE is 44 degrees.

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Answer:

Let's assume that the total distance of the trip is D miles. Jorge has already covered half of the distance i.e. D/2 miles at an average speed of 20 mph. Let's call the time taken to cover this distance T1.

We can use the formula: Average speed = Total Distance / Total Time

We know that the overall average speed for the entire trip is 40 mph. So, for the remaining half of the trip, Jorge needs to cover another D/2 miles at an average speed of 40 mph. Let's call the time taken to cover this distance T2.

Now we can write two equations:

1. 20 mph = (D/2) / T1  => T1 = (D/2) / 20

2. 40 mph = (D/2) / T2  => T2 = (D/2) / 40

We need to find out the average speed in the second half of the trip. Let's call it S2.

We know that the total time taken for the entire trip is T1 + T2.

Total time = T1 + T2 = (D/2) / 20 + (D/2) / 40 = D/30

We can again use the formula: Average speed = Total Distance / Total Time

So, we have:

D = D

Total time = D/30

Total distance = D/2 + D/2 = D

Average speed = Total distance / Total time

40 mph = D / (D/30)

40 mph = 30

This is not possible as the average speed cannot be higher than the maximum speed (which is 40 mph in this case). So, it means that there is no way for Jorge to achieve an average speed of 40 mph for the entire trip.

Step-by-step explanation:

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

Answer:

36

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = \(\dfrac38x\)

Dishes from Japan  = \(12.5\% \text{ of }x= 0.125x\)

Total dishes  from China and Japan = \(\dfrac38 x+0.125x=0.375x+0.125x=0.5x\)

Dishes from other countries \(= x- 0.5x= 0.5x\)

Percent of dishes from other countries= \(\dfrac{0.5x}{x}\times100\%= 50\%\)

Hence, dishes from other countries = 50%

\( \frac{x}{12} = \frac{25}{60} \\ 60x = 25 \times 12 \\ 60x = 300 \\ x = \frac{300}{60} \\ \boxed{x = 5}\)

By breaking the front yard into two rectangles, we will see that the area of the front yard is 915 ft^2

The front yard is the green part of the map, we can break this into two rectangles.

One of the rectangles measures 35ft by 25ft, then its area is:

A = 35ft*25ft = 875 ft^2

The other rectangle (in the part that goes from H to Q) has a length of 8ft and a width of 5ft, then its area is:

A' = 8ft*5ft = 40ft^2

The total area of the front yard is the sum of the two that we got above:

area = A + A' =  875 ft^2 + 40ft^2 = 915 ft^2

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There were approximately 304,657,600 Americans in July 2009.

To find out how many Americans were there in July 2009, we'll use the given data in the student question:
Initial population (July 2008): 302,000,000 people
Growth rate (2008): 0.88%
Step 1: Convert the growth rate percentage to a decimal.
0.88% = 0.0088
Step 2: Calculate the population increase for 2009.
Increase = Initial population × Growth rate
Increase = 302,000,000 × 0.0088
Increase ≈ 2,657,600 people
Step 3: Add the population increase to the initial population to get the population in July 2009.
Population (July 2009) = Initial population + Increase
Population (July 2009) ≈ 302,000,000 + 2,657,600
Population (July 2009) ≈ 304,657,600 people.

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Answer:

11

Step-by-step explanation:

55/5=11

hope it helps!

g′(9), we need to use the chain rule of differentiation. The chain rule states that if we have a function of the form g(x) = f(u(x)), then the derivative of g(x) with respect to x is given by\(g′(x) = f′(u(x)) * u′(x).\)


Start by finding u(x). In this case, u(x) = 5x+3. Find f′(x) using the given information. f′(9) = 7.Find u′(x) by taking the derivative of u(x) with respect to x. In this case, u′(x) = 5.

Plug in the values into the chain rule formula: g′(x) = f′(u(x)) * u′(x).
 \(So, g′(9) = f′(u(9)) * u′(9).\)
  Since u(9) = 5(9) + 3 = 48, and u′(9) = 5, we have:
\(g′(9) = f′(48) * 5.\)
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The derivative of the function g(x) with respect to x, evaluated at x = 9, is equal to 306, obtained by applying the product rule to g(x) = f(x) x (5x + 3), where f(9) = -6 and f'(9) = 7.

To find g′(9), we need to differentiate the function g(x) with respect to x and then evaluate it at x = 9.

Given that g(x) = f(x) x (5x + 3), where f(x) is an unknown function, and we know the values of f(9) = -6 and f′(9) = 7.

To differentiate g(x), we can use the product rule. The product rule states that if we have two functions u(x) and v(x), then the derivative of their product is given by (u′(x) x v(x)) + (u(x) * v′(x)).

Using the product rule, we can differentiate g(x) as follows:

g′(x) = f′(x) x (5x + 3) + f(x) x (5)

Now, substituting the known values of f(9) = -6 and f′(9) = 7, we have:

g′(x) = 7 x (5x + 3) + (-6) x (5)

Simplifying further, we get:

g′(x) = 35x + 21 - 30

g′(x) = 35x - 9

Finally, evaluating g′(9), we substitute x = 9:

g′(9) = 35(9) - 9

g′(9) = 315 - 9

g′(9) = 306

Therefore, g′(9) is equal to 306.

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you look too cute in the dp i like your face its very cute

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

\( - 2 = ( \frac{ 4}{7} ) \times 5 + c\)

\(c = -2 - \frac{20}{7} \)

\(c = \frac{-34}{7} \)

Now the required equation :-

\(y = ( \frac{ 4}{7} )x + \frac{-34}{7} \)

\(4x - 7y = 34\)

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

To write the constructor for the Digits class, follow these steps:

1. Create the class Digits and initialize an empty list named digitlist inside the class.
2. Define the constructor using the __init__ method, which takes the non-negative integer 'num' as a parameter.
3. Inside the constructor, convert the integer 'num' into a string to process each digit individually.
4. Iterate through each character in the string and convert it back to an integer, then append it to the digitlist.
5. Make sure that the elements in digitlist are Integer objects representing single digits and appear in the same order as the digits in 'num'.

Here's the code for the Digits class constructor:

Now, when you create a Digits object and pass a non-negative integer to the constructor, it initializes and fills the digitlist with the digits from that integer. The elements in digitlist will be Integer objects representing single digits, and they will appear in the same order as the digits in the given integer.

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Answer:

Sum of ages is 35

Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years

35+8= 43

Remember that Melanie will be 5 years older ( which she should have already been)

so 43+5= 48 ( Melanie's age)

and 48-5 = 43 ( Her brother's age)

The total volume of the mixture (dirty volume) in gallons for this stage is 5665.25 gallons.

To find the total volume of the mixture (dirty volume) in gallons for this stage, we need to calculate the volume added by the proppant and add it to the initial clean volume of the liquid.

Step 1: Calculate the volume added by the proppant.

Volume added by proppant = 3 pounds/gallon × 0.0443 gallons/pound × 5000 gallons = 665.25 gallons

Step 2: Add the volume added by the proppant to the initial clean volume of the liquid.

Total volume of the mixture (dirty volume) = 5000 gallons + 665.25 gallons = 5665.25 gallons

Therefore, the total volume of the mixture (dirty volume) in gallons for this stage is 5665.25 gallons.

Note: The question is incomplete. The complete question probably is: One stage of a frac job calls for 5000 gallons (clean volume) of a liquid and three pounds of proppant per gallon of liquid. The proppant adds 0.0443 gallons of volume per pound. What Is the total volume of the mixture (dirty volume) in gallons for this stage?

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The relevant harmonic frequencies of a 30 mm ear canal, modeled as a 1/4 length resonator, can be calculated using the formula for the resonant frequencies of a closed tube.

The answer to the question is that the relevant harmonic frequencies can be determined by dividing the speed of sound in air (approximately 343 m/s at room temperature) by four times the length of the ear canal (30 mm or 0.03 m in this case).

By applying the formula f = (c/4L), where f represents the frequency, c is the speed of sound, and L is the length of the ear canal, we can compute the harmonic frequencies.

Substituting the given values, we get f = (343 m/s) / (4 * 0.03 m) = 2858.33 Hz for the fundamental frequency (first harmonic).

To determine the higher harmonics, we multiply the fundamental frequency by integers. For example, the second harmonic would be 2 * 2858.33 Hz, the third harmonic would be 3 * 2858.33 Hz, and so on.

Therefore, the relevant harmonic frequencies of the 30 mm ear canal, modeled as a 1/4 length resonator, would be multiples of the fundamental frequency of 2858.33 Hz, determined by the length of the ear canal and the speed of sound in air.

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The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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Answer:

D

Step-by-step explanation:

the real answer would be 1/1048576

A 20 meters length ladder is sliding down at rate 8 meters per minute. When at a certain instant, the top of the ladder is 12 meters from the ground, the rate of change of the distance between the bottom of the ladder and the wall is 6 meters per minute.

Correct data for the given problem:

Length of the ladder = 20 meters

The distance between the top of the ladder and the ground is decreasing at rate = 8 meters / minute

At an instant, the distance between the top of the ladder and the ground = 12 meters.

Let:

x = distance between the base of the ladder and the wall

y = distance between the top of the ladder and the ground

Using the Pythagorean Theorem:

x² + y² = 20²

x² + 12² = 20²

x² = 20² -  12² = 16²

x = 16 meters

Take the derivative with respect to t:

2x . dx/dt + 2y . dy/dt = 0

2 . (16) . dx/dt + 2. (12) . (-8) = 0

dx/dt = 12 . 8 / 16 = 6 meters/minute

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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The sequence of transformations used to show the congruence of polygons JKLMN and PQRST is to reflect PQRST across the y-axis and then translate the result down 10 units.

We are given two polygons. Both the polygons are congruent, and to prove it, we can use the concept of transformations. The first transformation we need to perform is to reflect the polygon PQRST across the y-axis. The next transformation that needs to be performed is to translate the result down by 10 units. We find that the polygon PQRST now coincides with the polygon JKLMN. Hence, it is proved that the polygons are congruent to each other.

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The value of x that makes the inequality true is x > -5/12.

The inequality 1/4 - x < 2x + 1 can be solved by the following steps:

Firstly, combine like terms on the right side of the inequality to get:

3x > -5/4

Secondly, divide both sides by 3 to isolate x:

x > (-5/4) / 3

x > -5/12

(Note: When dividing by a negative number, you must reverse the inequality sign.)

Therefore, the value of x that makes the inequality true is x > -5/12.

However, the answer will not be complete without a brief explanation of the concept of inequalities and how to solve them.

Inequalities are mathematical statements that describe a relationship between two values. There are four types of inequalities: less than (<), greater than (>), less than or equal to (≤), and greater than or equal to (≥).

Inequalities can be solved similarly to equations by isolating the variable on one side of the inequality. However, when multiplying or dividing by a negative number, the inequality sign must be reversed. This is because multiplying or dividing by a negative number changes the direction of the inequality.

In the given example, we simplified the inequality by combining like terms and isolating the variable x. By dividing both sides by 3, we found that x is greater than -5/12, which means any value of x greater than -5/12 will satisfy the inequality.

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Answer:

(10 hours 45 minutes) + (50 minutes) + (30 minutes) =

12 hours 5 minutes

Step-by-step explanation: