Which expression is a prime polynomial?


O A. 10x^4 – 5x^3 + 70x^2 + 3x


OB. X^3 - 27y^6


OC. 3x^2 + 18y


OD. X^4 + 20x^2 - 100

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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Answer:

Clean price is $3,977.22

Dirty price = $4110.99

Step-by-step explanation:

We proceed as follows;

Semiannual coupon payments = $3000* 12%/2 = 6% * 3,000 = 6/100 * 3,000 = $180

Coupons are paid on 1st June and 1st December every year(semi-annually means twice a year, every 6 months)

No. of payments remaining = 11 (1 payment in 2020 on 1st December,2020 and 2 in each of the following 5 years)

Semiannual Yield = 6%/2 =3%

The clean price of the bond is given by

P = 180/1.03+ 180/1.03^2+.....+180/1.03^11+ 3200/1.03^11

=180/0.03*(1-1/1.03^11)+3200/1.03^11

=$3977.22

Dirty price = clean price +accrued interest

Accrued Interest = Interest from 1st June , 2020 to 1st December,2020

= no of days from 1st June to 15th October/no of days from 1st June to 1st December * $180

= 136/183*$180

=$133.77

So, Dirty price = $3977.22+$133.22 = $4110.99

The correct choice is A. The point(s) at which the tangent line is horizontal is (1/4, 9/4).

The points on the graph of the function at which the tangent line is horizontal can be found by taking the derivative of the function and setting it equal to zero.

In this case, the function is f(x) = 4x² - 2x + 5.

Taking the derivative, we get f'(x) = 8x - 2.

To find the points where the tangent line is horizontal, we set f'(x) = 0 and solve for x:

8x - 2 = 0

8x = 2

x = 2/8

x = 1/4

So, the point(s) on the graph where the tangent line is horizontal is (1/4, f(1/4)). To find the corresponding y-coordinate, we substitute x = 1/4 into the original function:

f(1/4) = 4(1/4)² - 2(1/4) + 5

f(1/4) = 1/4 - 1/2 + 5

f(1/4) = 1/4 - 2/4 + 5

f(1/4) = 4/4 + 5

f(1/4) = 9/4

Therefore, the point on the graph where the tangent line is horizontal is (1/4, 9/4). Thus, the correct choice is A. The point(s) at which the tangent line is horizontal is (1/4, 9/4).

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Answer:

The answer is 30 ROWS.

Step-by-step explanation:

Please give brainlyest

Answer:

0.4

Step-by-step explanation:

The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become

P(B)=number of black marbles divide by total number of marbles

P(B)=6/15

P(B)=0.4 OR 40%

Therefore the probability that Tommy will pick black marble is 0.4 or 40%

Answer:

Step-by-step explanation:

well the x is 1/1 and the 2 is over 1 so divided and it is B is what i got

Answer:

2,210

Step-by-step explanation:

The length of segment  DE in the given diagonals of the parallelogram is 16.

The length of segment  DE is calculated by applying properties of diagonals of a parallelogram.

The point where the diagonals of a parallelogram intersect divides each diagonal into two equal halves.

Based on this fact, we can set up the following equation and solve for length DE as follows;

BE = AE

x² - 48 = 16

x² = 16 + 48

x² = 64

x = √64

x = 8

The length of segment DE is calculated as follows;

DE = 2x

DE = 2 x 8

DE = 16

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This statement is True. The Systems Development Life Cycle (SDLC) is a structured approach that outlines the stages involved in developing information systems and applications.

It is considered the traditional and widely accepted process for managing and guiding the development process.

The SDLC typically includes several key phases: requirements gathering and analysis, system design, development, testing, implementation, and maintenance.

Each phase has its specific objectives and deliverables, ensuring a systematic and controlled progression from conceptualization to the final product.

The SDLC provides a framework for project management, risk assessment, resource allocation, and quality control.

It emphasizes a structured and disciplined approach to ensure that information systems and applications meet the desired requirements, are thoroughly tested, and are implemented successfully.

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Answer: I think the answer is 3

Step-by-step explanation: I Divided 12 by 4 and got the answer 3

Answer:

Answer is 3

Step-by-step explanation:

According to the question,

j = 12

So

j / 4 = 12 / 4 = 3

Pls mark my answer as Brainliest

Answer:

D. 105°

Step-by-step explanation:

(a) The probability that this genetic disease can be present is that at least someone in the town is 2.8% of the total population.

To compute the possibility that at least one person in town has the sickness, we may first calculate the probability that no one in town has the disease and then deduct that from 1. The probability that no one in the town has the disease is calculated by binomial distribution formula.

P(X ≥ 1) = 1 - P(X = 0)

where X is the number of people in the town with the disease.

P(X = 0) is the probability that nobody in the town has the disease. When we calculate P(X = 0) as:

P(X = 0) = (15000 chooses 0) * (1/5000)⁰ * (4999/5000)¹⁵⁰⁰⁰

P(0) ≈0.972

The probability that at least one person in the town has the disease is:

P(X ≥ 1) = 1 - P(X = 0)

≈ 1 - 0.972

P(X ≥ 1)  ≈ 0.028

As a result, there is a 2.8% probability that at least one person in town has the condition.

(b) The probability that this genetic disease can be present is that at most 2 people in the town is 99.9% of the total population.

To compute the probability that no more than two persons in the town have the sickness, we must sum the probabilities of none, one, and two people having the condition. The binomial distribution gives the chance that precisely x persons have the disease:

P(x) = (n choose x) * pˣ * (1-p)ⁿ⁻ˣ

where n is the sample size (15,000)

p is the illness probability (1/5000)

(n pick x) is the binomial coefficient, which is the number of ways to select x items from a collection of n items.

We can calculate using this formula:

P(0) = (15000 choose 0) * (1/5000)⁰ * (4999/5000)¹⁵⁰⁰⁰

P(0) ≈ 0.972

P(1) = (15000 choose 1) * (1/5000)¹ * (4999/5000)¹⁴⁹⁹⁹

P(1) ≈ 0.027

P(2) = (15000 choose 2) * (1/5000)² * (4999/5000)¹⁴⁹⁹⁸

P(2) ≈ 0.001

So the probability of at most 2 people in the town having the disease is:

P(0) + P(1) + P(2) ≈ 0.999

As a result, there is a 99.9%  probability that at most 2 people in the town have the disease.

(c) The expected number of people in the town who have the disease is 3 among the 15000 people.

The mean of the binomial distribution gives the expected amount of persons in the town who have the disease.

E(X) = n*p

where X is the random variable representing the number of people in the town with the disease.

Substituting n = 15,000 and p = 1/5000, we get:

E(X) = 15,000 * (1/5000) = 3

E(X) = 3

So we would expect about 3 people in the town to have the disease among the total population.

(d) The variance for the number of people in the town with the disease is 2.998 among the total population.

The binomial distribution's variance is given by:

Var(X) = n*p*(1-p)

considering n = 15,000 and p = 1/5000, we get:

Var(X) = 15,000 * (1/5000) * (4999/5000)

Var(X)  ≈ 2.998

So the variation in the number of persons in the town infected with the illness is around 2.998.

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Answer: C - 4 = 14

Step-by-step explanation: In the expression, "c" is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

(a) For annual compounding, n = 1 and t = 5, so we have:
A = 34600(1 + 0.08/1)^(1*5) = $50,230.53
(b) For semiannual compounding, n = 2 and t = 5, so we have:
A = 34600(1 + 0.08/2)^(2*5) = $51,373.38
(c) For monthly compounding, n = 12 and t = 5, so we have:
A = 34600(1 + 0.08/12)^(12*5) = $51,998.51
(d) For daily compounding, n = 365 and t = 5, so we have:
A = 34600(1 + 0.08/365)^(365*5) = $52,169.16
Therefore, the value of the investment at the end of 5 years for annual compounding is $50,230.53, for semiannual compounding is $51,373.38, for monthly compounding is $51,998.51, and for daily compounding is $52,169.16 (to the nearest cent).

To solve this problem, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the principal (initial investment), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

To calculate the future value of an investment with different compounding methods, we use the formula:
Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)
Here, the principal is $34,600, the interest rate is 8% (0.08), and the investment period is 5 years.

(a) Annual compounding:
Number of Compounding Periods = 1
Future Value = 34600 * (1 + (0.08 / 1))^(1 * 5) = $50,313.41

(b) Semiannual compounding:
Number of Compounding Periods = 2
Future Value = 34600 * (1 + (0.08 / 2))^(2 * 5) = $51,225.17

(c) Monthly compounding:
Number of Compounding Periods = 12
Future Value = 34600 * (1 + (0.08 / 12))^(12 * 5) = $51,665.41

(d) Daily compounding:
Number of Compounding Periods = 365
Future Value = 34600 * (1 + (0.08 / 365))^(365 * 5) = $51,718.27

Your answer:
(a) Annual: $50,313.41
(b) Semiannual: $51,225.17
(c) Monthly: $51,665.41
(d) Daily: $51,718.27

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Answer:

Step-by-step explanation:Okay so first you have to find out if -2 is your growth or y-axis.Your y-axis is when the line hits the up and down graph line.Your -2 is most likely your growth now you need to create a starting point it can be 10 for example then you would subtract 2 from it everytime you place a new dot like (0,10) and then (1,8) and so on.If u make a table the x will be on the left side this is where u will put the number 0,1,2,3.for everytime you make a dot on the graph.

Option D) is correct. The equation representing the above sequence is   f(x) = f(x-1) - 6.

According to the question we have been the sequence

                             2, -4, -10, -16,.......

Here,  a₁ = 2                        a₃ = -10

        a₂ = -4                        a₄ = -16

Thus, difference between the first two terms is:

         d = a₂ - a₁

            = -4 - 2 = -6

Similarly difference between the second third term is :

            d = a₃ - a₂ = -10 - (-4) = -10 + 4 = -6

We will see that the difference between the terms is constant that is

                    d = -6

We know that ,   aₙ = aₙ₋₁ + d

putting the value of d in the above formula we get

     aₙ = aₙ₋₁ + (-6)

     aₙ = aₙ₋₁ -6

Also can be written as :

  f(x) = f(x-1) - 6

That is option D) is correct. The equation representing the above sequence is   f(x) = f(x-1) - 6.

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Solution:

A negatively skewed distribution is one in which more data values are plotted on the right side of the graph.

In other words, the the tail of the distribution is longer on the left side, and the mean is lower than the median and mode.

Thus, from the options below:

The correct option is C since

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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The number lines that have a point equal to point P, located at -40 on a number line ranging from -50 to +50, are the number lines that include -40 as one of their points.

A number line represents the set of real numbers in a continuous sequence. In this case, the number line extends from -50 to +50. Point P is located at -40 on this number line. To find the number lines that have a point equal to point P, we need to consider the number lines that include -40 as one of their points.

Since -40 is within the range of -50 to +50, all number lines within this range will have a point equal to point P. This includes number lines with a larger range, such as -100 to +100 or -1000 to +1000, as well as number lines with a smaller range, such as -10 to +10 or -30 to +30. In general, any number line that includes -40 as one of its points will have a point equal to point P.

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Answer: 882

Step-by-step explanation:

75% is the same as 3/4.

You would divide the total number of customers 1176 by 4 to find 1/4 then times by 3 to find 3/4 or 75%.

1176 divided by 4 = 294

294 times 3 = 882

Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

Answer: 2.5

Step-by-step explanation:

A negative of a negative is a positive.

Answer:

2.5

Step-by-step explanation:

Just make everything inside the parentheses opposite of what it is

-2.5 becomes 2.5 because double negative

Answer:

A is the answer to your question because it's the only answer in exponential form.

B and C are in slope forms.

D is in quadratic form.

\(g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343\)

Answer:

Write the equation of a line passing through point (8, -3 ) and is perpendicular to

−

2

x

+

y

=

9

Step-by-step explanation:

Answer:

The model will be 15 in. long

Step-by-step explanation:

x is the length of the model

so x/100 = 9/60

x = 100(9/60) = 15

Answer:

can't see an image

Step-by-step explanation: