1. Assume that a certain simplified economy produces only two goods, X and Y, with given resources and technology. The following table gives the various possible combinations of the production of the two goods (all units are measured in millions of tons). Good X Good Y Opportunity Cost of good X Production possibility A B C D 0 2 4 6 100 90 60 20 A. Calculate the opportunity cost of the production of good X at each point. What law does the trend in those values exhibit? B. What changes are required for this economy to shift the PPF outward? 2. The demand for tickets to an Ethiopian Camparada film is given by D(p)= 200,000- 10,000p, where p is the price of tickets. If the price of tickets is 12 Birr, calculate point elasticity of demand for tickets and draw the demand curve.
Answers
The demand curve has the equation P = 20 - 0.05Q, with a y-intercept of 20 and an x-intercept of 400,000.
1.A. The opportunity cost of producing a unit of good X is the amount of good Y that must be given up to produce that unit of good X. It is calculated as follows:
Production Possibility Opportunity Cost of Good X Good X Good Y A 0 100 N/A B 2 90 45 Y / X C 4 60 15 Y / X D 6 20 5 Y / XThe opportunity cost of producing a unit of good X increases as more of it is produced. This trend is known as the law of increasing opportunity cost.
It states that as the production of a good increases, the opportunity cost of producing an additional unit of that good increases as well.B. The PPF can be shifted outward in three ways:
an increase in resources, technological advancement, or an improvement in labor skills and education.
2.Using the formula for point elasticity of demand:
Ep = (dq/dp) * (p/q) = (Dp / P) * (Q / Dq)Ep
= (Dp / P) * (Q / Dq)Ep
= [(200,000 - 10,000(12)) / 12] * [(Q / 10,000)]Ep
= (-80 / 3) * (Q / 10,000)Ep
= - 8Q / 3,750, andQ = (3,750 / 8) * EpAt p = 12, Q = 125,000
Therefore, the demand equation can be written as Q = 200,000 - 10,000p, and the elasticity of demand at p = 12 isEp = -8(125,000) / 3,750 = -266.67.
The demand curve can be plotted by taking various prices and solving for their respective quantities.
At a price of 0, the quantity demanded is 200,000, while at a price of 20, the quantity demanded is 0.
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Related Questions
A direct variation includes the points (2,18) and (n,9). Find n?
Answers
The value of the n is 1
In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.
To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.
(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:
18 = k(2)
k = 18/2
k = 9
Now that we have found the value of k, we can use it to find n when y = 9:
9 = 9n
n = 1
Therefore, the value of n is 1.
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A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
Answers
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Answers
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
Answers
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answers
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
5) dilation of 2 about the origin
(-2, 0), (2.1), K(1.-1)
A) (-0.5, 0), (0.5, 0.25), K(0.25, -0.25)
B) I(-4,0), (4,2), K 12, -2)
C) 11-5.0), (5,2.5), K (2.5, -2.5)
D) 7(-3,0), J13, 1.5), K (1.5, -1.5)
Answers
Answer:
the answer is c I did it before but I can't explain step by step I hope it helps u
Greg spent 3/4 of an hour each day for 2 days working on his project.Giselle spent 1/4 of an hour each day for 6 days working on her project.Who spent more time in total working on the project?
GregB) GiselleC) They spent the same amount of time on the project.D) There is not enough information to solve the problem.
PLEASE HELP ASAP
Answers
Answer:
C)They spent the same amount of time.
Step-by-step explanation:
Greg did 3/4 of an hour is 45mins for 2 days is x2 so Greg in total did 1 and 1/2 hours
Giselle did 1/4 of an hour which is 15mins for 6 days so x6 so Giselle did 1 and 1/2 hours too.
C)They spent the same amount of time on the project
Explanation:
For greg--- (3/4)*2 = 6/4=3/2
for Giselle--- (1/4) *6 = 6/4=3/2
As such they spent the same amount of time on the project
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
Answers
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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Simplify the expression
Answers
Answer:
B
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
Which symbol should go to the box to make the statement true? |17| _ 17 <,>,=,≠
Answers
The symbol that should go to the box to make the statement true is =.
|17| = 17.
-HannahGobin
Answer:
= or (D)
Step-by-step explanation:
Trust me it's right
Let x represent the number of television show episodes that are taped in a season. Enter an expression for the number of episodes taped in 8 seasons.
Please help this is due soon!!!
Answers
Answer:
x=8 ???
Step-by-step explanation:
??? not 100% sure but im pretty sure ;w;
Answer:
=> 8x
Step-by-step explanation:
=> Take X as the number of episodes taped in 8 seasons.
=> So, it's 8x
What is the solution of the system below?
x + 2y = 4
y=-2x - 1
Answers
Answer:Point form is (-2,3)
Equation form is x=-2y=3
Step-by-step explanation:
Convert the following quantities as shown.
(a) 24,000 volts to kilovolts
(b) 551 millivolts to volts
So, 24,000 v = how many kv
enter your response as kV - (Type a whole number or a decimal.)
Answers
a. 24 Kilovolts
b. 0. 551 Volts
How to convert the quantitiesIt is important to note that;
1000 volts = 1 Kilovolt
1000 millivolts = 1 volt
a. To convert 24,000 volts to kilovolts
If 1000 volts = 1 kilovolt
Then 24000 volts = x
cross multiply
x = 24000/ 1000
x = 24 Kilovolts
b. To convert 551 millivolts to volts
If 1000 millivolts = 1 volt
Then 551 millivolts = x
x = 551/ 1000
x = 0. 551 Volt
Thus, the values are 24 kilovolts and 0. 551 volt respectively
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Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answers
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
A survey asks people if they like science fiction or fantasy books. 114
people like sci fi and fantasy. 96 like sci fi but do not like fantasy. 210 do
not like sci fi and do not like fantasy. 318 do not like sci fi. What is the total
number of people who like fantasy?
Answers
The total number of people who like fantasy is 222.
Option A is the correct answer.
We have,
From the table
The number of people who like fantasy but do not like Sci-Fi.
= x
Now,
We can write an equation from the table as,
x + 210 = 318
Solve for x.
x = 318 - 210
x = 108
Now,
From the table again,
We can make an equation as,
114 + 108 = 222
This is the total number of people who like fantasy.
Thus,
The total number of people who like fantasy is 222.
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3x-4y=7,-3x+4y=2
system of equations
step by step
Answers
Answer:
{x,y} = {1,1}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] 3x = 4y - 1
[2] x = 4y/3 - 1/3
// Plug this in for variable x in equation [1]
[1] 3•(4y/3-1/3) + 4y = 7
[1] 8y = 8
// Solve equation [1] for the variable y
[1] 8y = 8
[1] y = 1
// By now we know this much :
x = 4y/3-1/3
y = 1
// Use the y value to solve for x
x = (4/3)(1)-1/3 = 1
Solution :
{x,y} = {1,1}
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answers
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
( marking right answer as brainliest ) sid is an entomologist and records the lengths of ladybugs . over the past month he measured 5,300 cm worth of ladybugs * How many meters was this? *
Answers
Answer:
53 meters
Step-by-step explanation:
5300 / 100 = 53
because yes
Computer programs are sold for $20 each if 300 people buy them. For every $5.00 increase increase in price, 30 fewer people buy them
Answers
Given that the cost of a computer program is $20 if 300 people buy them. For every $5.00 increase in price, 30 fewer people buy them. We need to find the relation between the price of computer programs and the number of people who will buy them.Relation between the price of computer programs and the number of people who will buy them can be represented in a table:Price per program .
Number of people who buy them$20 300$25 270$30 240$35 210$40 180$45 150$50 120Note that with each $5.00 increase in price, 30 fewer people buy the computer program.
Hence, the number of people who will buy the computer program will reduce by 30 with each $5.00 increase in price.
For instance, if the price increases from $20 to $25, the number of people who will buy it will reduce by 30 and be 270.
In conclusion, we can say that with every $5.00 increase in price, the number of people buying computer programs reduces by 30.
The relation between the price of computer programs and the number of people who will buy them can be represented in a table.
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Xavier earns a yearly salary of $16,500. If he gets a raise or $110 per month, what is the percent of increase
Answers
Answer
approximately 0.0067
Step-by-step explanation:
If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
Answers
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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find the absolute valve of 1 1/2 - 2/31
Answers
Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.
1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.
Now we can subtract 2/31 from 3/2:
3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.
The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.
Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Answers
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
help will give brainliest
Answers
9514 1404 393
Answer:
198 $1.20Step-by-step explanation:
1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...
x + 201 = (1/6)x +366
5/6x = 165 . . . . . . . . . . subtract 1/6x+201
x = 198 . . . . . . . . multiply by 6/5
198 apples were left.
__
2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...
15d +12(5/3d) = 42
35d = 42 . . . . . . . . . . . . . . collect terms
d = 42/35 = 6/5 = 1.20 . . . divide by 35
The cost of a drink was $1.20.
joy is (4x + 5) years old her brother micheal is (3x - 2) years younger than her sister. then write an expression thet represents Michael's age
Answers
Answer:
(x +7) years old
Step-by-step explanation:
Joy= (4x +5) years old
Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.
Michael
= (4x +5) -(3x -2)
= 4x +5 -3x +2 (expand)
= x +7
Thus, Michael is (x +7) years old.
: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (
Answers
Answer:
x = 6
m<1 = 20°
m<CFE = 140°
Step-by-step explanation:
m<1 = (3x + 2)°
m<2 = (5x - 10)°
✔️Given that FB bisects AFC, therefore,
m<1 = m<2
Substitute
3x + 2 = 5x - 10
Collect like terms and solve for x
3x - 5x = -2 - 10
-2x = -12
-2x/-2 = -12/-2
x = 6
✔️m<1 = 3x + 2
Plug in the value of x
m<1 = 3(6) + 2
m<1 = 18 + 2
m<1 = 20°
✔️m<CFE = 180° - m<AFC (angles on a straight line)
m<CFE = 180° - (m<1 + m<2)
m<CFE = 180° - (20 + 20)
m<CFE = 180° - 40°
m<CFE = 140°
Hello can you help me please!
Answers
Answer:
Option (3)
Step-by-step explanation:
Scale factor by which the rectangle given in the picture is enlarged = 7.5
Since, scale factor = \(\frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}\)
7.5 = \(\frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}\)
7.5 = \(\frac{L}{8}\)
Length of the dilated rectangle = 7.5×8
= 60 cm
Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle
= 7.5 × 6
= 45 cm
Now area of the dilated rectangle = Length × width
= 60 × 45
= 2700 cm²
Perimeter of the dilated rectangle = 2(length + width)
= 2(60 + 45)
= 2(105)
= 210 cm
Therefore, Option (3) will be the correct option.
What is the vertical distance between the points C(2, -0.8) D(2,1.2)
Answers
Answer:
2 units
Step-by-step explanation:
vertical distance will be the magnitude of the difference in the 'y' coordinates
| -.8 - 1.2| = 2 units
=
Perform the following metric-metric conversion.
195 km/h to m/min
=m/min
195 km/h =
***
Answers
The metric conversion from 195 km/h to m/min is; 3250 m/min
How to carry out Metric conversions?The basic metric conversion units are meters (for length), grams (for mass or weight), and liters (for volume).
Now, the metric unit of conversion from km/h to m/min is;
1 km/h = 50/3 m/min
Thus;
195 km/h = (195 * 50)/3
= 3250 m/min
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Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Answers
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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