Determine all possible digit replacements for x so that the first number is divisible by the second. 95,768,24x; 4 What digit will make the first number divisible by 4? (Use a comma to separate answer

Answers

Answer 1

The digit replacements for x in the number 95,768,24x that make it divisible by  4 is either 0, 4, or 8.

To evaluate the digit replacements for x in the number 95,768,24x that make it divisible by 4, we need to determine the possible values for x that satisfy this condition.

For a number to be divisible by 4, the last two digits must be divisible by 4. Therefore, we need to find the values of x that make the number 24x divisible by 4.

The possible values for x that make 24x divisible by 4 are 0, 4, 8. This is because any multiple of 4 ends in 0, 4, 8 when the tens and units place are considered.

Therefore, the possible digit replacements for x are 0, 4, and 8. These values will make the number 95,768,24x divisible by 4.

Hence, the digit that will make the first number divisible by 4 is either 0, 4, or 8.

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Related Questions

Consider a Markov chain with state space S = {1, 2, 3, 4, 5, 6} and transition probability matrix P = [ 0 0.5 0 0.1 0.4 0]
[ 0 1 0 0 0 0 ]
[ 0.3 0 0.2 0.1 0 0.4]
[0 0.7 0 0 0.3 0 ]
[0 0 0 0 1 0]
[0 0 0 0 0 1 ]
(a) Compute Pˣ. (b) If the process starts in state 3, what are the probabilities that it will be absorbed in state 2, state 5, and state 6, respectively?

Answers

a)Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  in matrix form, using eigen-values.

b)state 2 is 0.75; state 5 is 0 and ;state 6 is 0.25.

a)In order to calculate the value of Pˣ, follow the below-given steps:

Step 1: Compute the eigen-values of the matrix P.

Here, we get λ = 1, λ = 0.6, λ = 0.4, λ = 0.1, λ = 0, λ = 0.

Step 2: Compute the eigen-vectors corresponding to each eigenvalue of the matrix P.

Step 3: Compute the diagonal matrix D and the transition matrix T. [tex]\begin{matrix}1 & 0 & 0 & 0 & 0 & 0\end{matrix}0.6[/tex]

[tex]\begin{matrix}0.58 & 0.25 & 0.72 & 0 & 0 & 0\end{matrix}0.4.[/tex]

[tex]\begin{matrix}0.07 & 0 & 0.04 & 0.7 & 0 & 0\end{matrix}0.1.[/tex]

[tex]\begin{matrix}0.35 & 0.75 & 0.56 & 0 & 1 & 0\end{matrix}0.[/tex]

[tex]\begin{matrix}0 & 0 & 0 & 0.3 & 0 & 1\end{matrix}[/tex]

Pˣ = T . Dˣ . T⁻¹

We get the following matrix as a result.  

Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  

b)If the process starts in state 3,

the probability that it will be absorbed in state 2 is 0.75,

the probability that it will be absorbed in state 5 is 0, and

the probability that it will be absorbed in state 6 is 0.25.

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WXYZ is a parallelogram. Find the measure of angle Z

Answers

Given:

The figure of a parallelogram.

To find:

The measure of angle Z.

Solution:

We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.

In the given figure angle W and angle Z are supplementary angle. So,

[tex]m\angle W+m\angle Z=180^\circ[/tex]

[tex](18b-11)^\circ+(9b+2)^\circ=180^\circ[/tex]

[tex](27b-9)^\circ=180^\circ[/tex]

[tex](27b-9)=180[/tex]

Adding 9 on both sides, we get

[tex]27b=180+9[/tex]

[tex]27b=189[/tex]

[tex]b=\dfrac{189}{27}[/tex]

[tex]b=7[/tex]

Now,

[tex]m\angle Z=(9b+2)^\circ[/tex]

[tex]m\angle Z=(9(7)+2)^\circ[/tex]

[tex]m\angle Z=(63+2)^\circ[/tex]

[tex]m\angle Z=65^\circ[/tex]

Therefore, the correct option is C.

Determine the integral of 8 (3x − 2)³ dx

Answers

The integral of 8(3x - 2)³ dx is 2(3x - 2)⁴ + C, where C is the constant of integration.

To find the integral of 8(3x - 2)³ dx, we can apply the power rule of integration. According to the power rule, the integral of xⁿ dx is (xⁿ⁺¹ / (n + 1)) + C, where n is a constant and C is the constant of integration.

In this case, we have (3x - 2)³ as the integrand. We can rewrite it as 8(3x - 2)³ to simplify the expression. Since 8 is a constant multiplier, it can be factored out of the integral.

Using the power rule, we integrate each term separately. The integral of (3x - 2)³ is [(3x - 2)⁴ / 4] + C, where C is the constant of integration. Multiplying by the constant 8, we get 8[(3x - 2)⁴ / 4] + C.

Simplifying further, we can simplify the expression to 2(3x - 2)⁴ + C, where C is the constant of integration.

Therefore, the integral of 8(3x - 2)³ dx is 2(3x - 2)⁴ + C.

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Can someone please respond to this

Answers

Answer:

that's easy, use the 6969 equation, with a some 420's and that will do it

payment stream consists of three payments: $2,500 due today, $3,000 due 100 days from today, and $3,500 due 240 days from today. What single payment, 80 days from today, is economically equivalent to the payment stream if money can be invested at a rate of 5%? (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places.)

Answers

To find out the single payment that is economically equivalent to the payment stream of $2,500 due today, $3,000 due 100 days from today, and $3,500 due 240 days from today, we have to follow the below-given steps:

Step 1: Calculate the Future Value (FV) of each payment. Let's assume that "P" is the single payment we need to find out and "i" is the annual interest rate (5%)P = FV × [1 / (1 + i/365)^n] where n is the number of days between today and the payment date. For the first payment of $2,500 that is due today, the future value is $2,500 because it is already available today. Hence, no calculation is required for it. For the second payment of $3,000 that is due 100 days from today, Future Value (FV) = $3,000 × [1+(0.05/365)]^100 ≈ $3,093.29For the third payment of $3,500 that is due 240 days from today, Future Value (FV) = $3,500 × [1+(0.05/365)]^240 ≈ $3,701.85

Step 2: Calculate the Present Value (PV) of the payment stream by discounting each FV to 80 days from today. The formula for the present value of a future amount is PV = FV × [1 / (1 + i/365)^n] where "n" is the number of days between the date of the future amount and the date on which it is to be discounted. Here, we need to discount all three payments to 80 days from today. The number of days between today and 80 days from today is 80. So, we put n = 80 in the above formula.

For the first payment of $2,500 that is already available today, there is no need for any discounting. Hence, its present value is the same as its future value, i.e., $2,500.For the second payment of $3,093.29 that is due 100 days from today, Present Value (PV) = $3,093.29 × [1 / (1 + 0.05/365)^80] ≈ $2,893.16For the third payment of $3,701.85 that is due 240 days from today, Present Value (PV) = $3,701.85 × [1 / (1 + 0.05/365)^80] ≈ $3,243.11

Step 3: Add up the present values of all three payments to find the present value of the payment stream Present Value of the payment stream = $2,500 + $2,893.16 + $3,243.11 = $8,636.27

Step 4: Calculate the single payment that is economically equivalent to the payment stream by calculating its future value at the end of 80 days. FV = PV × (1 + i/365)^n where n = 80, i = 0.05, and PV = $8,636.27FV = $8,636.27 × (1 + 0.05/365)^80 ≈ $9,040.07Therefore, the single payment that is economically equivalent to the payment stream is $9,040.07.

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Please help asap I’ll give Brainly to whoever gets it right.

Answers

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.

You cannot divide by zero.

The inequality is equivalent to -20.2 > 0, which is false.

The solution is y > 0.

The solution is 0 > y.

The solution is y = 0.

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6

Answers

Answer:

C

Step-by-step explanation:

EDGE 2021

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Answers

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

Suppose the random variables X and Y have the following joint PDF: fxy(x, y) = cxy ,0 < x < b < 1 Determine the value of c.

Answers

The random variables X and Y have the value of c is  2/b².

Considering that the joint PDF of X and Y as fxy(x, y) = cxy ,0 < x < b < 1. Integrating the given PDF over its domain is necessary in order to determine the value of c. To find the worth of c, we utilize the accompanying integral:∫∫fxy(x, y)dxdy = 1,where the mix is done over the whole area of x and y. Therefore, cxy dxdy = 1. (1) For x, the integration limits are (0 to b) and for y, they are (0 to 1).

Therefore, by substituting these limits into equation (1), we obtain: 01 0b cxy dxdy = 1 c * [x2/2]0r1[y2/2]0rb = 1 c = 2 / b2 The value of c is therefore 2/b².

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Which of the following number lines best represents the value, 144/2

Answers

Answer:

C

Step-by-step explanation:

sqrt of 144 is 12

then 12 divided by 2 is 5

C has the point of 6

What method did you use? Why? Solve. for x: 47° 13​

Answers

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

residents of the town smithfield like to consume pizzas, but each pizza requires 10 people to produce it and takes a month. if the town has a total of 100 people, what is the maximum amount of pizza the residents can consume in a year?

Answers

The number of pizzas the people of the town will produce in a year, obtained using the simple mathematical operations, is 120 pizzas.

What are mathematical operations?

Mathematical operations include operations of additions, subtraction, division, and multiplication.

The number of pizzas produced in a year can be obtained using mathematical operations as follows;

The number of people required to produce one pizza in a month = 10 people

The number of people in the town = 100 people

The number of pizza'a that the people in the town can produce in a month is therefore;

Number of pizza's produced in a month  = 100/10 = 10

The number of months in a year = 12 months

The number of pizzas the people in the town can produce in a year = 10 × 12 = 120 pizzas

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Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. -3(x+1)+3x=-3(x-1)+3 Which method should Jeremy use? Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answers

Answer:C

Step-by-step explanation:

I have taken a test and it was right sorry if it isn’t right

Answer:

C

Step-by-step explanation:

determine whether the equation has the form x=a, and if it does, the equation has one solution

8-2(4×3-5)
does this equal -4?​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

No -6

Step-by-step explanation:

LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answer is not 144 BTW. Thank you.

Answers

Answer: 140cm^3

Step-by-step explanation:

Let p, q, and r be the propositions You get an A on the final exam. You do every exercise in this book. You get an A in this class. p 9: r: (3 pts) Express as an English sentence: q-p b) (p) Express as an English sentence: ar - (-p A-q) Pe 2 c) (4 pts) Write the proposition below using the propositions p, q or r as well as logical connectors (including negation): "To get an A in this class or get an A on the final exam, you need to do every exercise in the book." 7. (pt) Use truth table to determine whether [-p Apv q)] →q is a tautology. (you may not need to use all the rows and columns available below.) 8. (4 pts) Use truth table to determine whether [(pv q) Apr)^(q→r)] →r (you may not need to use all the rows and columns available below.) is a tautology.

Answers

q - p can be expressed as "If you do every exercise in this book, then you get an A on the final exam."

¬(p ∨ ¬q) can be expressed as "You need to do every exercise in this book and not get an A on the final exam."

The proposition "To get an A in this class or get an A on the final exam, you need to do every exercise in the book" can be written as "(r ∨ p) → q."

q - p: This proposition states that if you do every exercise in this book (q), then you get an A on the final exam (p).

¬(p ∨ ¬q): This proposition states that you need to do every exercise in this book (q) and not get an A on the final exam (¬p).

"(r ∨ p) → q": This proposition expresses that to get an A in this class (r) or get an A on the final exam (p), you need to do every exercise in the book (q). It is a conditional statement, where the antecedent is (r ∨ p) and the consequent is q.

For the truth table analysis:

[-p ∨ (p ∧ ¬q)] → q: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition r, so it cannot be analyzed using the truth table.

[(p ∨ q) ∧ r) ∧ (q → r)] → r: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition p, so it cannot be analyzed using the truth table.

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Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

WILL MARK BRAINLIEST IF ITS RIGHT!!! PLEASE HELLPP!!!!!

Answers

Answer:

114

Step-by-step explanation:

To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

Proof -

The 2 digit number is 11

170 = 11(15) + 5

The two digit number is 15

170 = 15(11) + 5

The two digit number is 33

170 = 33(5) + 5

The two digit number is 55

170 = 55(3) + 5

∴ we get

The two digit numbers are

11, 15, 33, 55

Their sum is equals to

11 + 15 + 33 + 55 = 114

whats the answer to this?

Answers

Answer:

x=6

Step-by-step explanation:

6. You divide 3 by 0.25 to get the scale factor which is 12, then multiply this by 0.5 to get x

yo i need help please i need the correct answer i will give u a brainliest to please just help me

Answers

Answer:

a

Step-by-step explanation:

PLSS HELPPP NO BOTS OR I WILL REPORT BUT PLS HELP ASAPP!! The graphs below of a function true or false?

Answers

true - there are no spots on the y axis where there are two points

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

a-4

Step-by-step explination:

hope this helps!

Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results.
RESULTS OF FLIPPING PAPER CUP
Outcome Right-side UP Upside Down On its Side
Frequency
10
18
22
Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
333
440
550
786
N
Previous

Answers

Answer:

440

Step-by-step explanation:

i did the test already

Consider the following argument by analogy.

Some doctors recommend that people over the age of 40 should get a physical every year. As one physician argued, "People take their car in for servicing every few months without complaint. Why shouldn’t they take similar care of their bodies?" [U.S. News & World Report, Aug. 11, 1986]

Analyze and evaluate this argument by doing the following: 1) Identify the two things being compared (A and B) and the property P attributed to B in the conclusion. 2) Identify the (unstated) properties (S) that are supposed to make A and B similar. 3) Analyze the argument into its inductive and deductive elements. The deductive step with be a valid syllogism with a universal major premise. 4) Evaluate the inductive generalization in the inductive step: a) Consider its initial plausibility given our other knowledge; b) Look for additional positive instances besides the one stated; c) Look for counterexamples.

Answers

The argument draws an analogy between car servicing and regular physicals for people over 40, highlighting the need for preventive care and maintenance. The deductive step is a valid syllogism with a universal major premise, and the inductive generalization is plausible given the potential benefits of regular check-ups, although individual circumstances may vary.

1) In this argument by analogy, two things are being compared: A) taking a car in for servicing every few months, and B) getting a physical every year for people over the age of 40. The property P attributed to B in the conclusion is the need for regular care or check-ups.

2) The unstated properties (S) that are supposed to make A and B similar include the idea that both cars and bodies require regular maintenance to ensure proper functioning and longevity. The argument assumes that just as neglecting car maintenance can lead to breakdowns and costly repairs, neglecting regular physical check-ups can lead to health problems and potential medical issues.

3) The deductive step of the argument can be formulated as follows:

Major premise: Cars need regular servicing to prevent breakdowns and maintain optimal performance.

Minor premise: Bodies are similar to cars in the sense that they require regular check-ups to prevent health issues and maintain optimal well-being.

Conclusion: People over the age of 40 should get a physical every year.

4) The inductive generalization in the argument relies on the plausibility of the comparison between car maintenance and physical check-ups. To evaluate its validity, we can consider the following:

a) The initial plausibility of the generalization: Given our knowledge that regular check-ups can help detect health problems early and promote overall well-being, it is reasonable to argue that regular physicals are beneficial, similar to regular car servicing.

b) Additional positive instances: We can find support for the generalization by examining medical recommendations and practices that emphasize the importance of regular check-ups for preventive care.

c) Counterexamples: While some individuals may not experience health issues or see the need for frequent physicals, the argument assumes that the general population will benefit from regular check-ups.

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What is the product of 2b(b+11)? Show your work.

Answers

Answer:

 25

Step-by-step explanation:

Answer:

2b^2 + 22

Step-by-step explanation:

2b(b + 11)

2b ×b + 2 × 11

2b^2 + 22

The lifetime of an electronical component is to be determined; it is assumed that it is an ex- ponentially distributed random variable. Randomly, users are asked for feedback for when the component had to be replaced; below you can find a sample of 5 such answers (in months): 19,23,21,22,24.
Fill in the blanks below.

(a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to λ = ________WRITE YOUR ANSWER WITH THREE DECIMAL PLACES .
(b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distribution obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols
< = or > to fill in the blank. L ________M

Answers

(a) Using the method of maximum likelihood, the estimated parameter of the exponential distribution is λ = 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we have L < M.

(a) The maximum likelihood estimation involves finding the parameter that maximizes the likelihood function based on the given data. In this case, using the sample of replacement times (19, 23, 21, 22, 24), the estimated parameter λ of the exponential distribution is calculated to be 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we can determine the relationship between them. In general, the method of maximum likelihood tends to provide more efficient and precise estimators compared to the method of moments. Therefore, we have L < M, indicating that the estimator obtained by the method of maximum likelihood (M) is expected to be greater than the estimator obtained by the method of moments (L) in this situation.

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If Lin runs 21 laps at the same rate, how long does it take her?
minutes

Answers

25 minutes. Or 25.5. Hope it helps.

The population of a city and 2005 was 18,000. By 2010, the cities population has grown to 32,800. It’s a population grows flow a linear model, what is the projected population for 2015?

Answers

Answer:

47,600

Step-by-step explanation:

The rate is (32,800 - 18,000) = 14,800 per 5 years  

therefore :  

in 2015 = 2010 + 5 years  

the pop. will be :  

32,800 + 14,800 = 47,600  

The answer is 47,600.

Hope this helped :)

Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer:

He divided instead of using multiplication

Step-by-step explanation:

Joseph's front porch is rectangular. The length is 8 feet more than the width. The
perimeter of the porch is 52 feet. What is the width of the porch?
A. 9 feet
B. 14 feet
C. 17 feet
D. 22 feet

Answers

It Hass to be definitely B because there’s no other way it’s leading up to a C or D so I’m gonna stick with my answer
Other Questions
A new observed data point is included in set of bi-variate data. You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61.This new data point is probably a (an):A.predicted (y) value.B.influential point.C.outlier.D.extrapolation.E.residual. Project S has an initial cost of $10,000 and produces annual cash flows of $3,000 for five years. Project L has an initial cost of $25,000 and generates annual cash flows of $7,000 for five years. The two projects are mutually exclusive. What is the cross-over rate for these two projects?a. 16.25%b. 15.25%c. 14.25%d. 10.42%e. The crossover rate does not exist for these two projects Estimate the sum to the nearest tenth: (-2.678) + 4.5 + (-0.68). What is the actual sum?a) 1.1b) 1.4c) 1.7d) 2.0 fallweather enterprises stock has an expected return of 15 percent and a beta of 1.3. the market return is 11 percent and the risk-free rate is 1.8 percent. this stock is because the capm return for the stock is percent. a. undervalued; 16.10 b. priced correctly; 15 c. overvalued; 16.10 d. overvalued; 13.76 e. undervalued; 13.76 The Zhao Family's utility function is U(x, y) = 4 ln x + 11 In y, where x = quantity of essential goods the family purchases per month. y = quantity of luxury goods the family purchases per month. The average cost/unit of essential goods and luxury goods are Cx = $10 Cy = $80 respectively, and the family's monthly budget is B = $4800. The utility-maximizing quantity of essential goods for the Zhao Family is found by solving the equation ... a. 240 +0.875x = 0 b. 4/x - 1.375 / 60 - 0.125x = 0 c. 4 ln x + 11 ln(60 - 0.125x) = 0 d. 4/x + 11 / 60 - 0.125x =0 Prove that sin(x + y) sin x + sin y by identifying one pair of angles x and y that shows that this is not generally true. Explain why it is not generally true. Given a normal distribution with =100 and =10, if you select a sample of =25, what is the probability that X is: a. Less than 95b. Between 95 and 97.5 c. Above 102.2 d. There is a 65% chance that X is above what value? Consider the following note payable transactions of Caldwell Video Productions.2014:Apr. 1Purchased equipment costing $198,000 by issuing a nine-year, 8% note payable. The note requires annual principal payments of $22,000 plus interest each Apr. 1Dec. 31Accured interest on the note payable2015:Apr .1Paid the first installment on the noteDec. 31Accured interest on the note payable1. Journalize the transactions for the company.2. Considering the given transactions only, what are Caldwell Video Production's total liabilities on December 31, 2015? Two alternatives, A and B, have been identified, and the associated costs and revenues have been estimated. Annual fixed costs would be $40,000 for A and $30,000 for B; variable costs per unit would be $10 for A and $11 for B; and revenue per unit would be $15.a. Determine each alternatives break-even point in units.b. Atwhatvolumeofoutputwouldthetwoalternativesyieldthesameprofit?c. If expected annual demand is 12,000 units, which alternative would yield the higher profit? Question 2 Which of the following is a subspace of R ? W={(a, 2b+1, c): a, b and c are real numbers } W= {(a, b, 1): a and b are real numbers } W={(a, b, 2a-3b): a and b are real numbers} Let W be the solid region in R with x 20 that is bounded by the three surfaces 2 = 9 - x?. z = 2x2 + y2, and x = 0. Set up, but do not evaluate, two different iterated integrals that each give the value of SI Vx+ya+z? 4 + z2 dv. + w what is the best way to share functions cross mroe than one prject? Solve for missing values using the ideal gas law formula:1. 10C, 5. 5 L, 2 mol, __ atm. What is the atm?2. __ C, 8. 3 L, 5 mol, 1. 8 atm. What is the temperature in celsius?3. 12C, 3. 4 L, __ mol, 1. 2 atm. What is the mole? The following trial balance of Trey Co.at December 31, 20x5 has been adjusted except for income tax expense C Dr. $550,000 1.650.000 300,000 Cash Accounts Receivable, net Prepaid taxes Accounts payable Common stock Additional paid-in capital Retained earnings Foreign currency translation adjustment Revenues Expenses $120,000 500,000 680,000 630,000 430.000 3,600,000 2,600,000 $5,530,000 $5,530.000 Additional information: During 20X5, estimated tax payments of $300,000 were charged to prepaid taxes. Trey has not yet recorded income tax expense. There were no differences between the financial statement and the income tax income, and Treystax rate is 30% Included in accounts receivable is $500,000 due from a customer. Special terms granted to this customer require payments in equal, semiannual installments of $125,000 every April 1 and October 1. In Trey's December 31, 20X5 Balance Sheet, what amount should be reported as total current assets? $2,200.000 $2.500.000 $2.250,000 $1.950,000 Data table Ashton Air Purification System Unadjusted Trial Balance December 31, 2024 Account Title Cash Accounts Receivable Prepaid Rent Office Supplies Equipment Accumulated Depreciation-Equipment Ac Assume that the profit is F = 100X 4X 200, where X is the produced quantity. How big is the profit if the company produces 10 units? How big is the producer surplus if the company produces 10 units? One of your friend borrows $100000 from bank to start a new company. He needs to make annual equal payments for the next 7years at an interest rate of 8% per year.Find the annual equal payments using compound interest tables. 2. using the information in the csi manual download csi manual, describe the four methods you used to document the electronic evidence at the crime scene. a die is rolled twice. let x equal the sum of the outcomes, and let y equal the first outcome minus the second. (i) Compute the covariance Cov(X,Y). (ii) Compute correlation coefficient p(X,Y). (iii) Compute E[X | Y = k), k= -5, ... ,5. (iv) Verify the double expectation E[X|Y] = E[X] through computing 5 E[X |Y = k]P(Y= k). k=-5 A bank has estimated that its net income for the year is $2 million with 500,000 outstanding shares of stock. It has estimated that its Common Equity Tier 1 (CET1) ratio is 6.5%. Its normal dividend payout ratio is 75%. Under the capital conservation buffer requirements of 2016, what is the maximum dividend it can pay on a per share basis? Since this is on a per share basis show you answer out to two decimals in the x.xx format enter $5.65 as 5.65 Please show work