Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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what is the y intercept and slope of line y=-x+5
pls help worth a lot of points
Answer: Ordinarily, no, it wouldn't matter.
Step-by-step explanation: No matter in what order you add it up it will be the same answer in the end.
Find the relation independent of y for the following equation
y^2-2y+1 = 0
-y^2+3y+m =0
Answer:
m=−2,y=1
Step-by-step explanation:
The t distribution is similar to the z distribution in all BUT one of the following characteristics. Which one is it? Explain
a. Continuous
b. Symmetrical
c. Bell-shaped
d. t distribution's mean=0 and standard deviation=1
d.) T distribution's mean=0 and standard deviation=1 is not true. Instead, the t distribution has a mean of 0 and a standard deviation that varies based on the sample size and degrees of freedom
The t distribution is not similar to the z distribution in terms of its standard deviation. Unlike the standard normal distribution (z distribution), which has a mean of 0 and a standard deviation of 1, the t distribution has a mean of 0, but its standard deviation varies depending on the sample size. Specifically, the t distribution has heavier tails than the z distribution, which means it has more spread in the distribution and more extreme values are more likely to occur.
The t distribution's mean=0 and standard deviation=1 is not true, hence the proper response is d. The t distribution, on the other hand, has a mean of zero and a standard deviation that varies according to the sample size and degrees of freedom.
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Simplify the expression.
(15-8)11
[(2 + 5)24
The simplified expression is
Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Magnitude Angle || V || = 2 v in the direction 3i + 4j Sketch v.
The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.
The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.
The component form of vector v can be found by using the following formula:
V = ||V|| (cosθi + sinθj)
Therefore, the component form of vector v is given by:
V = 2 (cos3i + sin3j)
We can calculate the components by substituting the values for ||v|| and θ in the above formula.
Therefore, the x component of vector v is given by:
Vx = 2 cos3
Vx = 1.86
The y component of vector v is given by:
Vy = 2 sin3
Vy = 3.42
Therefore, the component form of vector v is given by:
V = 1.86 i + 3.42 j
This can be represented graphically as shown in the figure.
The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.
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What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km?
A) 15 km
B) 12 km
C) 18 km
D) 21 km
Answer:
\(\boxed{15 km}\)
Step-by-step explanation:
→ Write out the scale
3 cm = 5 km
→ Multiply everything by 3 to get 9 cm on the left side
9 cm = 15 km
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
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How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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decribe orwells probable opinion regarding the importance of countries having an informaed educated citizenry
Orwell believed it is important for countries to have an informed and educated citizenry
George Orwell would have agreed that it is crucial for nations to have educated and informed citizens. Orwell frequently discussed the value of education and knowledge as well as the perils of ignorance and propaganda in his writing. Orwell depicts a dystopian world in his book "1984" where the governing party has complete control over all knowledge and education and purposefully keeps the populace uninformed to maintain its power.
Orwell also wrote extensively about the value of a free press and its function in informing. He believed that honest and transparent language is crucial for democracy because it enables citizens to comprehend and assess the thoughts of their leaders. Hence, Orwell would have warned about the risks of propaganda and the suppression of knowledge and seen an informed and educated populace as a cornerstone of a healthy and functional society.
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125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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Find the missing numbers
Based on the information provided, the missing number would be number 6.
How to find the missing numbers?When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.
In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.
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WHAT IS THE ANSWER NEED ASAP
Answer:
Either angle EDI or angle CDH
Step-by-step explanation:
Answer:
i did this last year in math but i think its angle EDI
Step-by-step explanation:
Solve the inequality.
Created with Rapha�l 2.1.2
-
9.
5
+
6
x
≥
4
2.
1
Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset
To solve the inequality:
9.5 + 6x ≥ 42.1
We will follow these steps:
Subtract 9.5 from both sides of the inequality:
9.5 + 6x - 9.5 ≥ 42.1 - 9.5
6x ≥ 32.6
Divide both sides of the inequality by 6:
(6x) / 6 ≥ 32.6 / 6
x ≥ 5.433333...
Rounded to two decimal places, the solution to the inequality is:
x ≥ 5.43
Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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Simplify the expression:
P + 7p + 5p
P = ?
A. 13p
B. 13
C. 16p
D. 16
Bob wants to make a profit of $1.25 on each fish. How much should he sell each fish for to make this profit? Show your calculation.
note that each fish costs 2.14
Bob would have to sell each fish at $3.39 in order to make a profit of $1.25 on each fish sold
What is the selling price per fish?
The selling price per fish can be determined as the sum of the cost price of $2.14 and the profit per fish which is $1.25, in essence, the selling price in this case is the sum of the cost and profit or alternatively, we can model the profit as the selling price minus the cost price as shown below:
profit per fish=selling price-cost price
profit per fish=$1.25
selling price=unknown
cost price=$2.14
By making the selling price the subject of the formula, we can determine the selling price using the formula above
$1.25=selling price-$2.14
selling price=$2.14+$1.25
selling price=$3.39
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4,7,14,49, next number is what
Solve this simultaneous linear equation
50x + 56y=690
65x + 48y=711
Answer:
Hope its help u
Step-by-step explanation:
solve
50 x + 56 y = 690
65 x + 48 y = 711
The solution is find out by Cramer's rule as you have not mentioned any specific method,
Its in image
1. find three consecutive integers such that twice the least integer is 12 more than the greater integer.
2. The perimeter of a rectangle is 150 cm the length is 15cm greater than the width. Find all of the dimensions, please.
Answer: offf
Step-by-step explanation:off
.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
The HCF of three numbers is 8 and the sum of these numbers is 80. List the possible set of such three numbers.
Let's denote the three numbers A, B, and C.
Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.
Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.
Let's list the possible combinations:
(8, 16, 56): In this case, A = 8, B = 16, and C = 56. All three numbers are divisible by 8, and their sum is 8 + 16 + 56 = 80.(16, 8, 56): Here, A = 16, B = 8, and C = 56. Again, all three numbers are divisible by 8, and their sum is 16 + 8 + 56 = 80.(24, 8, 48): In this combination, A = 24, B = 8, and C = 48. All three numbers are divisible by 8, and their sum is 24 + 8 + 48 = 80.(8, 24, 48): Similarly, A = 8, B = 24, and C = 48. All three numbers are divisible by 8, and their sum is 8 + 24 + 48 = 80.These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).
A cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students. How many bottles of juice are needed for 24 students? How many bottles of juice are needed for 42 students?
Answer:7
Step-by-step explanation:
quik math
Diane Warner can rent a minivan for $24.95 per day plus $0.15 per mile, or she can rent a
large van for $289 per week with no additional charge for mileage. If she plans on renting the
car for 7 days and driving a total of 1,200 miles, which vehicle is a better buy?
In this case, renting the huge van would be a more cost-effective option because it would run you $289 as opposed to $354.65 for the minivan.
To compare the costs of renting the minivan and the large van, we need to calculate the total cost for each option.
For the minivan, the cost per day is $24.95 and the cost per mile is $0.15. So, for 7 days and 1,200 miles, the total cost would be:
Total cost = 7($24.95) + 1,200($0.15)
= $354.65
For the large van, the cost is a flat rate of $289 per week with no additional charge for mileage. So, for 7 days and 1,200 miles, the total cost would be:
Total cost = $289
Therefore, renting the large van would be a better buy in this scenario, as it would cost $289 compared to $354.65 for the minivan.
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What is the distance between point A and point B?
Answer:
13 units
Step-by-step explanation:
absolute value helps but
itd just be 7-(-6) = 13
What is this answer it says it’s wrong
Answer:
\(-10x^3y^2+5x^2y^3-2x^3+7y^2\)
Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2
Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!
Find two numbers the quotient between. Then estimate the quotient. 41÷3
Answer:
The quotient is between 10 and 15, and the exact answer is 13 with the remainder of 2: 13R2.
Step-by-step explanation:
41 ÷ 3 is a very long answer so do 39 ÷ 3 which equals 13 and since you can't divide 2 by three without negatives, just do it as a remainder of 2, or R2, which means the answer is 13 with the remainder of 2, or just 13R2.
What 2 ratio is equivalent to 4/14 HELPPPP ILL GIVE U 15 AND MARK BRAINLIST
Answer:
4:14 2:7 8:28
Step-by-step explanation:
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answer: 68y+106=36-y