The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
Learn more about exchange rates here:
https://brainly.com/question/29562028
#SPJ1
The velocity v of a meteorite approaching earth is givin by v=k/
The velocity of the meteorite is 4 km per sec.
Given that, a meteorite is approaching the earth and is 10000 km away from earth,
we need to find the velocity,
v = k / √d
v = 400 / √10000
v = 400 / 100
v = 4 km per sec.
Hence, the velocity of the meteorite is 4 km per sec.
Learn more about velocity, click;
https://brainly.com/question/17127206
#SPJ1
The velocity at a distance of 6,889 kilometers is 6.795 Km/ sec.
We have,
The velocity v of a meteorite approaching earth is V = k/√d.
The distance from center of Earth = 8836
and, Velocity = 6 Km/ s
So, using the formula for velocity
6 = k/√8836
6 = k/94
k= 564 Km
Now, velocity at 6689 Km
V = 564/ √6889
V =6.795 km/sec
Learn more about Velocity here:
https://brainly.com/question/17127206
#SPJ1
birth weights for a simple random sample of 195 boys were recorded. the mean weight calculated for this sample was 3.04 kilograms and the standard deviation was 0.71 kilograms. what is the best point estimate for the birth weight of boys and construct a 90% confidence interval estimate of the mean birth weight of boys
Based on the information, we are 90% confident that the true mean birth weight of boys is between 2.956 and 3.124 kilograms.
How to calculate the valuestandard error will be:
= 0.71 / ✓(195) = 0.051 kilograms
Substituting these values into the formula, we will then get:
Confidence interval = 3.04 ± (1.645) × (0.051)
Confidence interval = 3.04 ± 0.084
Confidence interval = (2.956, 3.124)
Therefore, we are 90% confident that the true mean birth weight of boys is between 2.956 and 3.124 kilograms.
Learn more about mean on
https://brainly.com/question/1136789
#SPJ1
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
The required statements that are true for the given function are mentioned below.
There are many possible statements that could be true for the function h, given the information provided. Here are a few examples:
is a linear function that passes through the points (-2, 2) and (8, 19).
h is a quadratic function that has a maximum value of 25 at x = 11.
h is a piecewise function that equals 1 for -3 ≤ x ≤ 0, 2x + 3 for 0 < x ≤ 4, and 19 - x for 4 < x ≤ 11.
h is a logarithmic function that equals 1 at x = -3 and approaches 25 as x approaches 11.
Each of these statements is consistent with the given domain, range, and function values at x = -2 and x = 8. There are many other possible statements that could be true for h as well.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
Four cars are for sale. The red car costs $15,000, the blue car costs $18,000, the green car costs $22,000, and the white car costs $20,000. Use the table to identify all possible samples of size n = 2 from this population and their sample minimums. The first sample is done for you.
Sample
n = 2 R, B R, G R, W B, G B, W G, W
Costs
($1000s) 15, 18 15, 22 15, 20 18, 22 18, 20 22, 20
Sample
Mean 15 15 15 18 18 20
What is the mean of all six sample minimums?
What is the value of the population minimum?
Is the sample minimum an unbiased estimator of the population minimum?
Answer:
Step-by-step explanation:The six sample minimums are 15, 15, 15, 18, 18, and 20.
To find the mean of all six sample minimums, we add them up and divide by 6:
(15 + 15 + 15 + 18 + 18 + 20) / 6 = 16.1667
So the mean of all six sample minimums is $16,166.67.
The population minimum is the smallest cost among the four cars, which is $15,000.
The sample minimum is a biased estimator of the population minimum. Since the samples are of size 2, the probability of obtaining the population minimum as the sample minimum is only 1/3 (when the minimum of the two cars selected is the population minimum). Therefore, the sample minimum tends to underestimate the population minimum.
Two concentric circles form a target. The radii of the two circles measure 8 cm and 2 cm. The inner circle is the bullseye of the target. A
point on the target is randomly selected.
What is the probability that the randomly selected point is in the bullseye?
?
—
?
The probability that the randomly selected point is in the bullseye = 15/16.
How do we determine the probability that the point randomly selected is in the bullseye?To calculate the probability that the randomly selected point is in the bullseye, we shall first evaluate the area of each of the circles:
The area of the larger circle (outer circle) with radius 8 cm is given:
A_outer = πr² = π(8)² = 64π
The area of the smaller circle (inner circle) with radius 2 cm is given:
A_inner = πr² = π(2)² = 4π
The area of the bullseye (the region between the two circles) = the difference between the areas of the two circles:
A_bullseye = A_outer - A_inner
= 64π - 4π = 60π
Therefore, the probability that a randomly selected point is in the bullseye:
P = A_bullseye / A_outer
= (60π) / (64π)
P = 15/16
x
Therefore, the probability that the randomly selected point is in the bullseye = 15/16.
Learn more about probability at brainly.com/question/13604758
#SPJ1
Please help me asap need to get it done MANY POINTS WILL BE GIVEN
Answer:
Step-by-step explanation:
1. The line of best fit must have an equal number of points above and below the line
2. The line of best fit could be used as a predictions showing a trend in data
The low temperatures for four nights in December for a city are recorded below.
−4°, 1°, 3°, −2°
Which lists the temperatures in the correct order from coldest to warmest?
Prove that sinθ cosθ = cotθ is not a trigonometric identity by producing a counterexample.
Answer:
cmon man
Step-by-step explanation:
We want to show that sinθ cosθ = cotθ is not true for all values of θ. To do this, we just need to find one counterexample, i.e., one value of θ for which the equation is not true.
Recall that cotθ = cosθ/sinθ. So, the equation sinθ cosθ = cotθ can be rewritten as sinθ cosθ = cosθ/sinθ.
Multiplying both sides by sinθ, we get:
sin^2θ cosθ = cosθ
Dividing both sides by cosθ, we get:
sin^2θ = 1
Taking the square root of both sides, we get:
sinθ = ±1
So, we need to find a value of θ such that sinθ is equal to ±1. This occurs when θ = π/2 + kπ, where k is an integer.
Now, let's check whether sinθ cosθ = cotθ is true for this value of θ. We have:
sin(π/2 + kπ) = ±1
cos(π/2 + kπ) = 0
cot(π/2 + kπ) = undefined (since cos(π/2 + kπ) = 0)
Therefore, sinθ cosθ = cotθ is not true for θ = π/2 + kπ, and we have found a counterexample. This shows that sinθ cosθ = cotθ is not a trigonometric identity.
Abbie needs to cover square pyramids with fabric. The dimensions of each pyramid are shown in the table. If the fabric costs $0.001 per square millimeter, what is the surface area and cost to cover each pyramid, rounded to the nearest whole cent?
Please help!!!!
The surface area of each square pyramid, we used the formula Surface Area = Base Area + 4 x (1/2 x Base x Height of Face) is 1049.2mm², 1285.8mm² and 2100mm². The cost to cover each pyramid was $1.05, $1.29 and $2.10.
To calculate the surface area of each pyramid, we need to use the formula
Surface Area = Base x Height of face + 2 x ((Base/2) x Slant Height)
For the small pyramid, we have
Surface Area = 20 x 25 + 2 x ((20/2) x 26.46)
Surface Area = 500 + 2 x 10 x 26.46
Surface Area = 1049.2 mm²
Cost to cover the small pyramid
Cost = Surface Area x 0.001
Cost = 1049.2 x 0.001
Cost = $1.05
For the medium pyramid, we have
Surface Area = 20 x 40 + 2 x ((20/2) x 42.43)
Surface Area = 800 + 2 x 10 x 42.43
Surface Area = 1285.8 mm²
Cost to cover the medium pyramid
Cost = Surface Area x 0.001
Cost = 1285.8 x 0.001
Cost = $1.29
For the large pyramid, we have
Surface Area = 30 x 40 + 2 x ((30/2) x 50)
Surface Area = 1200 + 2 x 15 x 50
Surface Area = 2100 mm²
Cost to cover the large pyramid
Cost = Surface Area x 0.001
Cost = 2100 x 0.001
Cost = $2.10
To know more about surface area:
brainly.com/question/18727714
#SPJ1
A middle school took all of its 6th-grade students on a field trip to see a play at a theater that has 3260 seats. The students filled 95% of the seats in the theater. How many 6th graders went on the trip?
There were 3097 6th-grade students who went on the field trip to see the play at the theater.
We have,
If 95% of the 3260 seats in the theater were filled by the 6th-grade students,
We can find the total number of students by multiplying the total number of seats by the fill percentage as a decimal:
Number of 6th graders = 3260 x 0.95
Number of 6th graders = 3097
Therefore,
There were 3097 6th-grade students who went on the field trip to see the play at the theater.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ1
The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain
Answer:
meaning that you're answer would be $7.34 please make brainliest
Step-by-step explanation:
Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands
in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied
the population growth and recorded the data in the table.
2. What type of function is M(x)? Justify your answer and show calculations to support your conclusion.
The data presented shows the growth of the Javanese gibbon population on three different islands over time.
What informs the data?Data trends must be analyzed to determine the type of function that is modeling population growth. A common way to do this is to plot the data points and observe the shape of the curve. However, since the table only contains data, you can analyze trends by looking at the differences between consecutive terms.
To do this, we can calculate the first difference and the second difference in the population data.
The first difference:
- Swing: 40 - 30 = 10, 50 - 40 = 10, 60 - 50 = 10
Example: 60 - 50 = 10, 75 - 60 = 15, 90 - 75 = 15
- Salavati: 80 - 60 = 20, 100 - 80 = 20, 120 - 100 = 20
The second difference:
- Batanta: 10 - 10 = 0, 10 - 10 = 0
- Example: 15 - 10 = 5, 15 - 15 = 0
- Salavati: 20 - 20 = 0, 20 - 20 = 0
The first difference is constant for each island and shows a linear relationship between time and population growth. Also, the second difference is zero, indicating a constant rate of change.
Therefore, we can conclude that the population growth modeling function is a linear function that can be written as
M(x) = mx + b
where x is the time in years, m is the slope (population growth rate), and b is the y-intercept (initial population).
learn more about data: https://brainly.com/question/26711803
#SPJ1
QUICK I’LL MARK YOU BRAINLIEST!! Help me solve this problem!
PLEASE ANSWER
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.
1
one half
3
one third
Answer: B) 1/2
Step-by-step explanation: Hope this helps! :)
The answer is 1/3. I looked it up on gpt and also got a 100 on this quiz
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive?
[tex]p+6 = 30\\p-6 = 30\\6p = 30\\\frac{p}{6} = 30[/tex]
1.) [tex]6p=30[/tex]
2.) Sebastian bought a pack of 30 mechanical pencils and plans to give the same number of pencils each to 6 friends.
Let a varible such as p be the number of pencils given by him to each students.
Now we need to find p we need to divide 30 by 6, we get
[tex]p = \frac{30}{6}[/tex]
[tex]to[/tex]
[tex]6p = 30[/tex]
Thus, the equation can he use to find p, the number of pencils each friend will receive is: [tex]6p = 30[/tex]
Answer:
[tex]6p = 30[/tex]
Step-by-step explanation:
3dxnn have's the explanation.
help help help help help help
Find the area of a circle and use 3.14 for pi
The area of the shaded region of a circle with a 100 degree angle and a radius of 3cm, using pi=3.14, is approximately 25.64 square centimeters.
To find the area of the shaded region of a circle, we need to subtract the area of the sector formed by the shaded region from the area of the whole circle.
The area of the whole circle is given by
A = πr²
where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14 (as given in the question).
Substituting the given values, we get
A = π(3cm)²
A = 28.26 cm² (rounded to two decimal places)
Now, let's find the area of the sector formed by the shaded region.
The angle of the sector is given as 100 degrees. To find the area of the sector, we need to use the formula:
A = (θ/360)πr²
where θ is the angle in degrees, r is the radius of the circle, and π is again approximately equal to 3.14.
Substituting the given values, we get
A = (100/360)π(3cm)²
A = 2.62 cm² (rounded to two decimal places)
Finally, we can find the area of the shaded region by subtracting the area of the sector from the area of the whole circle
Shaded area = Area of circle - Area of sector
Shaded area = 28.26 cm² - 2.62 cm²
Shaded area = 25.64 cm² (rounded to two decimal places)
Therefore, the area of the shaded region of the circle is approximately 25.64 square centimeters.
To know more about Area of Circle:
https://brainly.com/question/28642423
#SPJ1
--The given question is incomplete, the complete question is given
" Find the area of a shaded region of circle and use 3.14 for pi "--
The ratio of union members to nonunion members working for a company is 4 to 7. If there are 108 union members working for the company, what is the total number of employees?
The total number of employees in the company is 297 if ratio of union members to nonunion members working for a company is 4 to 7
The given ratio of union members to nonunion members, which is 4 to 7. This means that for every 4 union members, there are 7 nonunion members.
We are also given that there are 108 union members working for the company.
The total number of employees in the company be "x".
Let us from a proportional equation
4/11 = 108/x
To solve for x, we can cross-multiply and simplify:
4x = 1188
x = 297
Therefore, the total number of employees in the company is 297.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ1
you collect $20.92 for selling 4 video games and 2 cellphones on a website. Your friend collects $23.44 for selling 4 video games and 3 cell phones on a website. How much do you collect for each videogame
Let's call the cost of each video game "x". We can set up two equations based on the information given:
4x + 2(0.01) = 20.92 (the 0.01 represents the commission fee for each phone)
4x = 20.92 - 0.02
4x = 20.90
x = 5.225
So each video game costs $5.225.
We can double-check our answer using the information about the friend's sales:
4(5.225) + 3(0.01) = 23.44
20.90 + 0.03 = 23.44
23.44 = 23.44
So our answer is correct.
What is the nature of the roots of each quadratic equation?
1. [tex]x^{2}[/tex] + 5x + 3 = 0
2. [tex]2x^{2}[/tex] - 2x + 1 = 0
x² + 5x + 3 = 0, the quadratic equation has two distinct real roots
2x² - 2x + 1 = 0, no real roots. Instead, it has two complex conjugate roots.
x² + 5x + 3 = 0
To determine the nature of the roots of this quadratic equation, we need to calculate the discriminant using the formula:
Discriminant = b² - 4ac
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = 1, b = 5, and c = 3.
Discriminant = (5)² - 4(1)(3)
= 25 - 12
= 13
Since the discriminant is positive and not a perfect square, the quadratic equation has two distinct real roots
Now 2x² - 2x + 1 = 0
a = 2, b = -2, and c = 1
Plugging these values into the discriminant formula, we get:
b² - 4ac = (-2)² - 4(2)(1) = 4 - 8 = -4
Since the discriminant is negative, the quadratic equation 2x² -2x+1=0 has no real roots.
Instead, it has two complex conjugate roots.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ1
A different sample box has a height that is twice as long as the original box described in Problem 1. What is the
volume of this sample box? How does the volume of this sample box compare to the volume of the sample box ins
Problem 1
The original sample box had a volume of 343 cubic cm, which is half the volume of the new sample box.
Since the height of the new sample box is twice as long as the original box, its height will be 2×7=14 cm.
The length and width remain the same at 7 cm.
The volume of the new sample box is given by the formula:
V = lwh
Substituting the values, we get:
V = (7)(7)(14) = 686 cubic cm
Therefore, the volume of the new sample box is 686 cubic cm.
Comparing the volumes of the two boxes, we see that the new sample box has a larger volume than the original sample box.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
for a new customer top golf charges $10 for a player card and $2 per hour. write and solve a linear equation to find the cost for a new customer to rent a bay for 6 hours.
A linear equation to find the cost for a new customer to rent a bay is y = 2x + 10.
The cost for a new customer to rent a bay for 6 hours is equal to $22.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about the amount of money top golf charges a new customer, the cost can be modeled by this linear equation:
y = mx + c
y = 2x + 10
When x = 6 hours, the cost can be calculated as follows;
y = 2x + 10
y = 2(6) + 10
y = $22.
Read more on slope-intercept here: brainly.com/question/4074155
#SPJ1
Need help dont know how to do this question
The unknown angle in the cyclic quadrilateral is as follows:
m∠DGF = 75 degrees
How to find the angle of a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.
The sum of angles in a cyclic quadrilateral is 360 degrees.
Therefore, let's the angle m∠DGF as follows:
The opposite angles of a cyclic quadrilateral have a total of 180°.
4x + 7 + 8x - 31 = 180
12x - 24 = 180
12x = 180 + 24
12x = 204
divide both sides by 12
x = 204 / 12
x = 17
Hence,
m∠DGF = 4x + 7 = 4(17) + 7 = 68 + 7 = 75 degrees
learn more on cyclic quadrilateral here: https://brainly.com/question/15061291
#SPJ1
a museum closes in 4 1/2 hours. You walk to the museum and spend 3/4 hour at each of the first 3 exhibits. The museum closes after you spend another 1 1/2 hours at the museum. How long did it take you to walk to the museum
The total time taken to walk the museum is t = 3/4 of an hour
Given data ,
Let the time spent at the first 3 exhibits = 3/4 + 3/4 + 3/4 = 9/4 hours
Let the time spent at the museum after the first 3 exhibits = 1 1/2 = 3/2 hours
Total time spent at the museum = 9/4 + 3/2 = (9/4 + 6/4) = 15/4 hours
Since the museum closes after you spend a total of 4 1/2 hours at the museum, we can subtract the total time spent at the museum from the closing time to find the time it took you to walk to the museum:
Closing time - Total time spent at the museum = 4 1/2 - 15/4
On simplifying the equation , we get
A = 9/2 - 15/4
On subtracting the fractions , we get
9/2 - 15/4 = (18/4) - (15/4) = 3/4
Hence , it took you 3/4 hour, or 45 minutes, to walk to the museum
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Which statements are always true regarding the diagram? Select three options
The following statements are always true regarding the given diagram having angles: m<3+m<4+m<5=180, m<5+m<6=180, m<2+m<3=m<6.
Statement 2 is always true because the sum of the three angles in a triangle is always 180 degrees.
Statement 3 is always true because the sum of the angles on a straight line is 180 degrees.
Statement 4 is always true because angles 2, 3, and 6 are opposite angles, which means they are congruent.
Thus, statements 1 and 5 are not always true. The sum of angles 3, 4, and 5 could be greater or less than the measure of angle 5. The sum of angles 2, 3, and 5 could be greater or less than the measure of angle 3.
For more details regarding angles, visit:
https://brainly.com/question/28451077
#SPJ1
Repartir de forma directamente proporcional 40 000 entre personas de 3,7,10 años a) 3 años = 8 000, 7 años = 12 000, 10 años = 10 000 b) 3 años = 6 000, 7 años = 14 000, 10 años = 20 000 c) 3 años = 4000, 7 años = 8 000, 10 años = 18 000 d) 3 años = 5 000, 7 años = 10 000, 10 años = 10 000
When distributed directly proportionally among the people, using age, the result would be b) 3 years = 6,000, 7 years = 14,000, 10 years = 20,000.
How to distribute the number ?First, find the total age of the people give :
= 10 + 7 + 3
= 20
To amount that would go to 10 as a directly proportional measure is:
= 10 / 20 x 40, 000
= 20, 000
The amount to 7 as a directly proportional value would be:
= 7 / 20 x 40, 000
= 14, 000
The amount to 3 would follow the same pattern :
= 3 / 20 x 40, 000
= 6, 000
Find out more on directly proportional at https://brainly.com/question/13354953
#SPJ1
How many bags of pretzels does Tim buy?
The value of x and y are,
x = 8 and y = 4
We have to given that;
Tim has $20 to buy snacks for 12 people in an office.
And., Tim is buying bags of pretzels that cost $1.50 per bag and bags of crackers that cost $2.00 per bag.
Let x represent bags of pretzels.
And, y represent bags of crackers.
Hence, We can formulate;
x + y = 12 .., (i)
And, 1.5x + 2y = 20 .. (ii)
From (i);
x = 12 - y
Plug in (ii):
1.5 (12 - y) + 2y = 20
18 - 1.5y + 2y = 20
18 + 0.5y = 20
0.5y = 2
y = 2/0.5
y = 4
And, x = 12 - 4
x = 8
Thus, The value of x and y are,
x = 8 and y = 4
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
I NEED HELP WITH THIS!! PLEASE! I WILL MARK YOU BRAINLIEST..PLEASE HELP!!!!
The area of the composite figure is equal to 12.28 square kilometers
How to calculate for the area of the figureThe composite figure can be observed to be made up of a triangle and a semicircle, so we shall calculate for the area of both shape and sum the results to get the total area of the composite figure as follows:
area of triangle = 1/2 × 3 km × 4 km = 6 km²
area of complete circle = 3.14 × 2 km × 2 km = 12.56 km²
area of semicircle = (12.56 km²)/2 = 6.28 km²
total area of the composite figure = 6 km² + 6.28 km²
total area of the composite figure = 12.28 km²
Therefore, the area of the composite figure is equal to 12.28 square kilometers
Read more about area here:https://brainly.com/question/21135654
#SPJ1
Multiply 6c(8 − 3c).
Answer:-30c
Step-by-step explanation:
you subtract 8 from 3c which is -5c than multiply by 6 which is -30c
A coupon book has a coupon for 10% off a ticket at a theme park. A ticket usually costs $80. How much would a visitor save with the coupon?
Answer: the visitor would save $8 with the coupon.
Step-by-step explanation: 10% of $80 = 0.1 x $80 = $8