Answer: Option 1
Step-by-step explanation:
We need to multiply each coordinate by 3/2.
Find an expression for the savings function if the marginal propensity to save is given by MPS = 0.4 – 0.1Y −1/2 and savings are zero when income is 100.
Answer:
Step-by-step explanation:
We are given the following equations from the Keynesian Model, find the autonomous consumption
level, marginal propensity to consume (MPC) and marginal propensity to save (MPS). Find the savings
function with respect to disposable income, and then use the given information about net taxes to find the
consumption and savings function with respect to real output. If the consumption function with respect to
disposable income is not given, find that first!
Note: Remember when we have the consumption function in the form C = a + b(Y – T) that autonomous
consumption is a and the marginal propensity to consume is b.
To solve for the consumption and savings functions with respect to real output rather than disposable
income we need to enter the value of net taxes.
The savings function with respect to disposable income is S = -a + (1 – b) (Y – T)
(a) C = 125 + 0.75(Y-T) Net Taxes = 100
Autonomous Consumption Level : a = 125
MPC : b = 0.75
MPS : MPS = 1-MPC = 0.25
Savings Function w/ respect to DI : S = - a + MPS(Y – T) = -125 + 0.25(Y – T)
Consumption Function w/ respect to Y : C = 125 + 0.75(Y – 100) = 50 + 0.75Y
Savings Function w/ respect to Y : S = -125 + 0.25(Y – 100) = -150 + 0.25Y
(b) C = 0.80(300-T+Y) Net Taxes = 50
= 240 – 0.8(T – Y) = 240 + 0.8(Y – T)
Answer:
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Step-by-step explanation:
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22) Determine
if each is a
combination or permutation.
1 point
22) There are 120 athletes at a meeting. They
each give a Valentine's Day card to
everyone else. How many cards were
given?
A) Combination
B) Permutation
Answer:
B) Permutation.
GIVING BREAINLIEST
Evaluate.
(2.5−2/3)⋅(−4.2+5 2/5)
Enter your answer as a decimal or mixed number in simplest form in the box.
Answer:
2 1/5 or 2.2
Step-by-step explanation:
(2.5−2/3)⋅(−4.2+5 2/5)
Convert decimals to fractions: (5/2 - 2/3) ⋅ (-21/5 + 5 2/5)
Convert mixed to improper fractions: (5/2 - 2/3) ⋅ (-21/5 + 27/5)
Make denominator the same in parentheses:
(15/6 - 4/6) ⋅ (-21/5 + 27/5)
Combine like terms: (11/6) ⋅ (6/5)
Multiply: (11 x 6) / (6 x 5) = 66/30
Divide numerator and denominator by HCF (6): 11/5
Write as mixed number: 2 1/5
or decimal: 2.2
Answer: 11/5
Step-by-step explanation:
\(\left(2.5-\frac{2}{3}\right)\left(-4.2+5\frac{2}{5}\right)\)
Convert everything to a fraction or improper fraction:
\(=\left(\frac{5}{2}-\frac{2}{3}\right)\left(\frac{21}{5}+\frac{27}{5}\right)\)
= (11/6)(6/5)
= (11)(1/5) - Reduced with GCF of 6
= 11/5 or 2.2
step by step please
Solution:
We know that:
Given equation: 1/4(x - 2) = 3 - (x + 1/6)Simplify the distributive property.
1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6Further simplify both sides.
x/4 - 2/4 = 17/6 - xSubtract 17/6 both sides.
x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -xSubtract x/4 both sides.
x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4Use cross multiplication.
=> -160 = -60xDivide -60 both sides.
-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3Consider triangle JKL and triangle MNP.which transformation proves triangle JKL is congruent to triangle MNP?
Answer:
A translation of triangle JKL left 8 units and up 8 units
Explanation:
First, let's identify the coordinates of triangle JKL and triangle MNP
J(7, -1), K(2, -4), and L(2, 2)
M(-1, 7), N(-6, 4), and P(-6, 10)
So, we can see that the coordinates of MNP are a translation of 8 units left and 8 units up because they are the result of the following rule
(x, y) ---> (x - 8, y + 8)
J(7, -1) ---> (7 - 8, -1 + 8) = M(-1, 7)
K(2, -4) ---> (2 - 8, -4 + 8) = N(-6, 4)
L(2, 2) ---> (2 - 8, 2 + 8) = P(-6, 10)
Therefore, the answer is:
A translation of triangle JKL left 8 units and up 8 units
The graph below shows the solution set of which inequality
Answer:
D.
Step-by-step explanation:
A company pays $10 per hour for up to eight hours of work. What is the equation for total pay why for hours for ex for 0 to 8 hours of work X
The equation for total pay is y = 10/8x.
What is the equation?Division is the mathematical operation that is used to determine the quotient of a number. In order to determine the total pay for hours from 0 to 8, the pay per hour has to be determined. To determine this value, divide $10 by 8.
Pay per hour = $10 / 8
y = 10/8x.
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Dilate f (x) = (x+4)(x+2) by x
Given:
\(f(x)=(x+4)(x+2)\)Dilate of function is:
\(\begin{gathered} f(x)=(x+4)(x+2) \\ =x(x+2)+4(x+2) \\ =x^2+2x+4x+8 \\ =x^2+6x+8 \end{gathered}\)rolling a 4 on a six-sided die with its expected probability?
Answer:
The probability of rolling 4 is 1/6.”
Answer:
1/6
Step-by-step explanation:
no: of 4rs i a dice = 1
total no: on dice = 6
possibility = 1/6
I hope im right!
Solve the equation for v.
v over 4 minus 2 equals negative 10
v/4 - 2 = -10
v = −32
v = −48
v = 12
v = 38
Answer:
the answer is v = -32
Step-by-step explanation:
where
v/4 - 2 = -10
v/4 = -10 + 2
v/4 = -8
v = -8 × 4
v = -32
hope this helps
Answer: The answer for this question is v = -32
Step-by-step explanation: just do math.
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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All of the following statements are all true except
a. The quotient of c and b is negative.
b. The quotient of 0 and c is 0.
c. The quotient of a and b is positive.
d. The quotient of 0 and a is undefined.
Answer: The answer is B and C
Step-by-step explanation:
Answer:
c. The quotient of a and b is positive.
Step-by-step explanation:
Select all true statements about the greatest common factor and least common multiple of the given numbers.
A. The greatest common factor of 50 and 75 is 25.
B. The greatest common factor of 36 and 54 is 9
C. The greatest common factor of 20 and 40 is 40.
D. The least common multiple of 5 and 9 is 45
E. The least common multiple of 4 and 6
Answer:
a. is true
b. is true
c. is false
d. true
e. 24
3 sets of data with same median but different mean
The 3 sets of data with the same median but different mean are given as follows:
Data-set 1: 1, 1, 3, 5, 5.Data-set 2: 1, 2, 3, 5, 6.Data-set 3: 2, 2, 3, 6, 6.How to calculate mean and median?The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.
The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.
Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.
Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.
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FIND THE TOTAL SURFACE AREA
30 Length
12 base
9 Hieght
The surface area of the rectangular prism is 1476 square units
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
30 mm by 12 mm by 9 mm
The surface area of the rectangular prism is calculated as
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Substitute the known values in the above equation, so, we have the following representation
Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)
Evaluate
Area = 1476
Hence, the area is 1476 square units
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Which scatterplot shows the weakest positive linear association?
The scatterplot shows the weakest positive linear association is (a)
How to determine the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The graphs
A good line of best fit would have equal number of points on either sides
Using the images as a guide, we can see that:
Graph (a) and (b) have a positive linear association while graph (a) have the least number of points that appear to be on a straight line
This means that the line with the weakest is (a)
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I Find the missing measurement:
40 mi/1 min = ? mi/1 hr
Answer:
2400mi/1 hr is the
answer
Answer:
2400 miles / per hour
Step-by-step explanation:
40 mi X
______ _______________
1 minute = 1 hr ( 60 minutes)
multiply 1 minute on bottom by 60 to get 60 minutes
so multiply the top by 60 (always do same to top and bottom)
40 mi. x 60 = 2400 miles
Which is the graph of y = [x] - 2?
Answer:
Step-by-step explanation:
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Two year ago ernest dorsey purchased a used sports coupe for 8000.00 that is now worth 6000.00 last year he drove it 13569 miles and kept a record od all expenses. His variable costs were gasoline $1589.56 oil changes $245.98 and repairs $548.11 his fix costs were insurance $1105.32 and license $85 find de cost per mile
The cost per mile incurred by Ernest Dorsey for driving the sports coupe for last year was $0.41.
How is the cost per mile derived?The cost per mile is the quotient of the division operation involving the total cost incurred and the driving mileage for the year.
To derive the total cost, add up the value of the car consumed (cost - current value), the annual variable, and fixed costs.
Cost of a used sports coupe last year = $8,000
The current value of the car = $6,000
Used value for the year = $2,000.00 ($8,000 - $2,000)
Yearly variable costs:Gasoline $1,589.56
Oil changes $245.98
Repairs $548.11 $2,383.65
Annual fixed Costs:Insurance $1,105.32
License $85.00 $1,190.32
Total cost for the year = $5,573.97
Driven mileage for the year = 13,569 miles
Cost per mile = $0.41 ($5,573.97/13,569)
Thus, the cost per mile is $0.41.
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What is the 19th term of the sequence:
gn=gn−1⋅(−12) if g17=162
the sixth term is ______
This is an arithmetic sequence
The nth term of an arithmetic sequence is Tn = a + (n-1)d
a is the first term.
n is the number of terms
d is the common difference
Given that 19th term of the sequence is:
gn=gn−1⋅(−12) if g17=162
Suppose a=12
Then,
The 17th term g17=a+(n-1)d
= 12+(17-1)d
'n' means number of terms
12+(17-1)d=162 because g17=162
12+16d=162
16d=162-12
Subtract the values,
We can write,
16d=150
d=150/16
Divide the values,
We can write,
d=25
To get the sixth term g6
g6=12+(6-1)d
=12+5d
Replace with d value in above equation,
Then, g6=12+5(25)
g6=12+125
g6=137
So, the sixth term is g6=137.
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HELP ASAP
Do you think that people are too free in the United States to do and say whatever they want or that there is not enough freedom? Do you feel that Americans have just the right amount of freedom? Explain your answer.
I believe that Americans have just the right amount of freedom.
How to illustrate the information?The First Amendment protects our freedom of speech and association, so the government cannot stop us from writing or speaking what we choose. We also have the right to create clubs and groups and participate in protests and rallies.
As long as you don't "materially and substantially" interrupt classrooms or other school activities, you have the right to voice your ideas. School administrators can disperse you if you stage a demonstration on the steps of the building and block the entrance. Additionally, they may be able to prevent you from using words that they deem to be "vulgar or indecent."
The above shows that despite the right of freedom, it's important to checkmate what people do.
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PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
sec(theta) = 1/cos(theta)
I believe that is your option D
Find AC someone help please. If you can please include steps
Answer:
AC = 15
Step-by-step explanation:
AC is the entire line split into two segments; AB and BC
We are given that AB = 8 and BC = 2x + 25 so we can combine these two and set them equal to AC ( = x + 24)
x + 24 = 8 + 2x + 25
Combine like terms and isolate x
x + 24 = 2x + 33
-9 = x
Now plug in -9 for x in the equation for line AC
(-9) + 24 = 15
(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) (a) σ = 18, n = 9 (b) σ = 18, n = 36 (c) σ = 18, n = 144
Answer:
a) 6.00
b) 3.00
c) 1.50
Step-by-step explanation:
Sample error of the mean is expressed mathematically using the formula;
SE = σ /√n where;
σ is the standard deviation and n is the sample size.
a) Given σ = 18, n = 9
Standard error of the mean = σ /√n
Standard error of the mean = 18/√9
Standard error of the mean = 18/3
Standard error of the mean = 6.00
b) Given σ = 18, n = 36
Standard error of the mean = σ /√n
Standard error of the mean = 18/√36
Standard error of the mean = 18/6
Standard error of the mean = 3.00
c) Given σ = 18, n = 144
Standard error of the mean = σ /√n
Standard error of the mean = 18/√144
Standard error of the mean = 18/12
Standard error of the mean = 3/2
Standard error of the mean = 1.50
data consist of weights in grams the unit for population standard deviation would be
Answer: s squared.s2.sigma i think
Step-by-step explanation:
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Answer:
36 Minutes
Step-by-step explanation:
150/8=18.75
675/18.75=36
So hence, your answer is 36 Minutes
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Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SAS similarity theorem?
The triangles can be proven similar by the SAS similarity theorem based on this: B. Show that the ratios are equivalent, and ∠V ≅ ∠Y.
The properties of similar triangles.In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the side, angle, side (SAS) similarity theorem, in order to prove that theses two (2) triangles are similar, it needs to be shown that the ratio of the corresponding side lengths of these triangles are equal and that their corresponding angles are congruent as shown below:
Side UV = side XY
∠V ≅ ∠Y
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Complete Question:
Consider the two triangles.
How can the triangles be proven similar by the SAS similarity theorem?
Show that the ratios are equivalent, and ∠U ≅ ∠X.
Show that the ratios are equivalent, and ∠V ≅ ∠Y.
Show that the ratios are equivalent, and ∠W ≅ ∠X.
Show that the ratios are equivalent, and ∠U ≅ ∠Z.
Candy buys 20 ounces of mixed nuts. She puts
an equal number of ounces in each of 3 bags.
How many ounces of mixed nuts will be in each
bag? Write the answer as a whole number and
fraction.
Answer:
20/3 ≈ 6.66
Step-by-step explanation:
20÷3= 20/3 ≈6.66
3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.
Answer:
12.08
Step-by-step explanation:
the easiest way to answer this is to set it up in this equation:
15.1/100 = x/80
in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08
15.1% of 80 is equal to 12.08.
What is Percentage?A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.
The abbreviations like 'pct' or 'pc' are also used to denote percentage.
Percentage is a dimensionless quantity as they have no dimensions.
Here we have to find the percentage 15.1% of 80.
The percentage of any number can be computed by dividing the number with whole and then multiply with 100.
To compute the percentage value to the original number, we use the reverse process.
15.1% of 80 = 15.1% × 80
= (15.1/100) × 80
= 0.151 × 80
= 12.08
Hence we got the value of 15.1% of 80 as equal to 12.08.
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