Consider a consumer whose utility function is:U(x1, x2) = log(x₁) + log(x₂) X1 ≤ 0.5 Suppose that p₂ = 1, m = 1, and p1 is unknown. There is rationing such that ** Part a. (5 marks) Find the minimal p₁, denoted by pi, such that the if P1 > Pi, then the consumer consumes x₁ strictly less than 0.5. ** Part b. (10 marks) Now suppose increases. mathematically show that whether the threshold on you found in Part a increases/decreases/stays the same.

Answer:

1235

Step-by-step explanation:

Please brainliest

Answer:

the is 1235 hope this helps

Step-by-step explanation:

To value a four-year coupon bond, we need to calculate the present value of its future cash flows, which include both the periodic coupon payments and the final face value payment. The discount factor is used to discount these cash flows back to their present values.

A. To calculate the price or value of the bond, we first need to determine the present value of the coupon payments. The bond has a face value of $1,000 and a coupon rate of 5%, which means it pays an annual coupon of $50 (5% of $1,000). Assuming annual coupon payments, we discount each coupon payment using the appropriate discount factor for the corresponding year. For example, if the discount factor for year one is 0.95, the present value of the first coupon payment would be $50 * 0.95 = $47.50. We repeat this calculation for each coupon payment and also discount the final face value payment. Finally, we sum up all the present values to obtain the price or value of the bond.

B. The yield to maturity (YTM) of the bond represents the rate of return an investor would earn if they hold the bond until maturity. It is the discount rate that equates the present value of the bond's cash flows to its current market price. To find the YTM, we need to iterate different interest rates until we find the rate that makes the present value of the bond's cash flows equal to its market price. This process involves solving a non-linear equation and can be done using numerical methods or financial calculators/software.

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Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

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Answer:

In a Euclidean space the sum of a triangles angles are always 180 degrees

45 + 80 = 125

180-125 = 55

So the answer is 55 degrees

hope this helps :)

Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

The correct answer is: Standard Deviation = 4.03.

To calculate the standard deviation of a set of data, you can use the following steps:

Calculate the mean (average) of the data.

Subtract the mean from each data point and square the result.

Calculate the mean of the squared differences.

Take the square root of the mean from step 3 to get the standard deviation.

Let's apply these steps to the data you provided: 23, 19, 28, 30, 22.

Step 1: Calculate the mean

Mean = (23 + 19 + 28 + 30 + 22) / 5 = 122 / 5 = 24.4

Step 2: Subtract the mean and square the result for each data point:

(23 - 24.4)² = 1.96

(19 - 24.4)² = 29.16

(28 - 24.4)² = 13.44

(30 - 24.4)² = 31.36

(22 - 24.4)² = 5.76

Step 3: Calculate the mean of the squared differences:

Mean of squared differences = (1.96 + 29.16 + 13.44 + 31.36 + 5.76) / 5 = 81.68 / 5 = 16.336

Step 4: Take the square root of the mean from step 3 to get the standard deviation:

Standard Deviation = √(16.336) ≈ 4.03

Therefore, the correct answer is: Standard Deviation = 4.03.

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a) To find E(0.1X + 0.9)-1, Var 2.45. and b) By minimizing the variance, we can find the optimal combination of assets that balances risk and return. This can help investors make informed decisions and construct portfolios that align with their risk tolerance and investment objectives.

(a) To find E(0.1X + 0.9), we can use the linearity of expectation. We multiply the constants with the respective expectations:
E(0.1X + 0.9) = 0.1 * E(X) + 0.9 * E(Y) = 0.1 * 1 + 0.9 * 1 = 0.1 + 0.9 = 1.

To find Var(0.1X + 0.9Y), we need to use the properties of variance. Since X and Y are independent, Var(0.1X + 0.9Y) = (0.1)^2 * Var(X) + (0.9)^2 * Var(Y) = 0.01 * 2 + 0.81 * 3 = 0.02 + 2.43 = 2.45.

(b) To minimize Var(wX + (1-w)Y), we need to find the value of w that minimizes the expression. We can do this by taking the derivative of Var(wX + (1-w)Y) with respect to w and setting it to zero. By solving this equation, we can find the value of w that minimizes the variance.

Minimizing Var(wX + (1-w)Y) would be useful when selecting a portfolio of assets. A lower variance indicates lower risk. By minimizing the variance, we can find the optimal combination of assets that balances risk and return. This can help investors make informed decisions and construct portfolios that align with their risk tolerance and investment objectives.

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To find the classification of the quadrilateral with the given vertices you can ubicate in a plane the vertices (x,y):

Answer:

a1 = 6 and an = an-1 - 5

a2 = a2-1 - 5 = a1 - 5 = 1

a3 = a3-1 - 5 = a2 - 5 = -4, etc

Step-by-step explanation:

The function which has the value of 0 at x = -3 are C. f(x) = (x + 3)² and E. f(x) = 2x - 3(x + 1).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

A. f(x) = (x - 3)²

Substituting x = 3,

f(-3) = (-3 - 3)² = 36

B. f(x) = x² - 3x

f(-3) = (-3)² - (3 × -3) = 9 + 9 = 18

C. f(x) = (x + 3)²

f(-3) = (-3 + 3)² = 0

Here the function value is 0.

D. f(x) = x² + 5x + 4

f(-3) = 9 - 15 + 4 = -2

E. f(x) = 2x - 3(x + 1)

f(-3) = -6 - 3(-3 + 1) = 0

Here the function value is 0.

F. f(x) = -2(x - 2) + 3x

f(-3) = 1

Hence the required functions are C. f(x) = (x + 3)² and E. f(x) = 2x - 3(x + 1).

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The shaded area of the figure is equal to 297 square centimeters.

In this question we find a shaded figure, whose area can be found as a subtraction of the areas of two triangles from the area of a rectangle. The area formulas are defined below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

Now we proceed to compute the shaded area:

A = (18 cm) · (22 cm) - 0.5 · (9 cm) · (13.2 cm) - 0.5 · (9 cm) · (8.8 cm)

A = 297 cm²

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Answer:

A = [84]in^2

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 16

9 + 4 = 13 x 4 = 52

52 + 15 + 16 = 84in

Answer:

9.5

Step-by-step explanation:

Is that what you mean by value?

I need a better explanation

Answer:

Step-by-step explanation:

It is nine and a half. What do you exactly mean by value?

Answer:

B

Step-by-step explanation:

9!=362880

The answer is 30~~~~~~~~

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Step-by-step explanation:

120÷24

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

Answer:

I just did it this is the right answer.

It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

Step-by-step explanation:

The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The first column, Months Passed, has the entries, 0, 3, 4, 8.

And, The second column, Total Houses Built, has the entries,

0, 33, 46, 108.

Hence, Rate of change are,

⇒ (33 - 0) / (3 - 0) = 11

⇒ (46 - 33) / (4 - 3) = 13

Thus, It does not show a constant rate of change.

Hence, The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

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Answer: A. (5)(5x+2y)

Step-by-step explanation:

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be \(x\) and \(y\) the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) She found that 4 cylinders and 5 prisms weigh 32 ounces:

\(4\cdot x +5\cdot y = 32\,oz\) (Eq. 1)

ii) And that 1 cylinder and 8 prisms weigh 35 ounces:

\(x + 8\cdot y = 35\,oz\) (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

\(x = 35 - 8\cdot y\)

(Eq. 2) is (Eq. 1):

\(4\cdot (35-8\cdot y) + 5\cdot y = 32\)

\(140-32\cdot y +5\cdot y = 32\)

\(32\cdot y - 5\cdot y = 140-32\)

\(27\cdot y = 108\)

\(y = 4\,oz\)

From (Eq. 2):

\(x = 35 - 8\cdot (4)\)

\(x = 35 - 32\)

\(x = 3\,oz\)

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

1/4 / 2/3

= 1/4÷2/3

= 1/4 ×3/2 ( reciprocal 2/3)

=3/8

this is the answer

Answer:

I believe that It would be L.

Answer:

D.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −4

y-intercept: (0,4)

Answer:

D.) d

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: -4

y-intercept: (0,4)

x: 0 & 1

y: 4 & 0

Hence the answer is coordinate grid D.

The value of r = 9.078.

pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.

so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.

r = \(\frac{pv}{nt}\)

So p = 110922.24. V = 0.0439 , n = 0.001758 t =  305.15. So let's just do the calculations here.

In this case you will find r=?

Here it's about 9.078.

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Answer:

D

Hope this helps!

Answer:

(0, 6)

Step-by-step explanation:

Point T has a coordinate pair of (3, 4). That is, at point T, x = 3, while y = 4.

3 points to the left of T would be a movement on the x-axis. This movement is a run across the x-axis. At T, x = 3. Therefore, 3 points to the left would be a decrease by 3 = 3 - 3 = 0.

3 points to the left of T would leave us with an x coordinate of 0.

2 points above T suggest a rise, which is on the y-axis.

Therefore, at T, y = 4. 2 points above 4 = 4 + 2 = 6. y coordinate would now be 6.

In conclusion, the ordered pair representing 3 points to the left, and 2 points above point T is (0, 6).

Answer:

She made the 6 into a five to make the 0 a 1 too early, because 24 can go into 60 twice, but in order to subtract the 8, you would then have to make the 6 into a 5 as well as the 0 into a 1.

Step-by-step explanation:

6048 divided by 24 is 252

The new area of the parallelogram is 207 cm², the area of a parallelogram is calculated by multiplying the base by the height. In this problem, the base is 18 cm and the height is 23 cm.

So, the original area of the parallelogram is 18 * 23 = 414 cm².If the base is decreased by 50%, the new base will be 18 / 2 = 9 cm. The new area of the parallelogram is then 9 * 23 = 207 cm².

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