The medication order reads: heparin 6,000 units IV via pump in 250 mL of D5W at 1,200 units/h. How many mL/h will the patient receive?

Answers

Answer 1

The patient will receive the medication at a rate of 50 mL/h.

To determine the mL/h rate at which the patient will receive the medication, we can use the following formula:

mL/h = (units/h * mL) / units

In this case, the medication order is for heparin 6,000 units IV via pump in 250 mL of D5W at 1,200 units/h.

Plugging the given values into the formula:

mL/h = (1,200 units/h * 250 mL) / 6,000 units

Simplifying the expression:

mL/h = (300,000 mL/h) / 6,000 units

mL/h = 50 mL/h

Therefore, the patient will receive the medication at a rate of 50 mL/h.

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Related Questions

Darius finds a leaf that is 6 cm long. Which measurement is equivalent to 6 cm?
OA. 0.6 mm
OB. 60 mm
OC. 0.06 mm
OD. 600 mm

Answers

Answer:

B: 60mm

Step-by-step explanation:

Answer:

B. 60 mm

Step-by-step explanation:

1 cm = 10 mm

6 cm = 6 * 1 cm = 6 * 10 mm = 60 mm

Answer: B. 60 mm

Two rectangles are similar. The area of the first rectangle is 20m2. The second rectangle is similar by a scale factor 4. What is the area of the second rectangle?



options

300 m2



340 m2



320 m2



380 m2

Answers

Answer:

320 m2

Step-by-step explanation:

I think the answer would be B) 340 m2

Can some plz help me

Answers

Answer:

I think 60 s.sq m

2,000(1 + 1)^5
Can you answer my question please

Answers

Answer:

2,000(1 + 1)⁵ = 64000, or in alternate form, 40³

2000(2)^5
2^5=32
32x2000=64000

6x²-15x=0

If possible use the quadratic formula​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. y'' 2y' − 8y = 3e−3x − e−x

Answers

To solve the given differential equation y'' + 2y' - 8y = 3e^(-3x) - e^(-x) by variation of parameters, we first need to find the complementary solution to the homogeneous equation y'' + 2y' - 8y = 0.

The characteristic equation associated with the homogeneous equation is r^2 + 2r - 8 = 0, which factors as (r - 2)(r + 4) = 0. Therefore, the complementary solution is y_c = c1e^(-4x) + c2e^(2x).

Next, we can find the particular solution using the method of variation of parameters. We assume the particular solution has the form y_p = u1(x)e^(-4x) + u2(x)e^(2x). We then find the derivatives y_p' and y_p'' and substitute them into the original differential equation, which allows us to solve for u1'(x) and u2'(x).

After finding u1'(x) and u2'(x), we integrate them to obtain u1(x) and u2(x). Finally, we substitute these values back into the particular solution y_p = u1(x)e^(-4x) + u2(x)e^(2x) to obtain the complete solution to the nonhomogeneous differential equation.

The explanation paragraph would further detail the steps involved in finding the complementary solution, setting up the particular solution using variation of parameters, and solving for the unknown functions u1(x) and u2(x). It would explain how the initial conditions are applied to find the specific values of the constants in the general solution. The final result would be the complete solution to the given differential equation satisfying the initial conditions.

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Reconstruction failed to establish racial equality and black freedom. Explain how the rapid industrialization of the United States under the system of "free labor" in the years after the Civil War led to a social crisis by the end of the nineteenth century in which the traditional American values of democracy, equality, and opportunity seemed to be disappearing, and in which class conflict threatened to tear society apart. How did the capitalists and working classes attempt to enhance their own power and interests in their struggle with each other? Why was the working class unable to achieve much, despite valiant efforts? How did the middle-class respond to the struggle between labor and capital as well as the changes that American society underwent during the late nineteenth century?

Answers

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

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A fair die is tossed 180 times .A one refers to the face with one dot. Thou, P(one = 1/6. computer the approximate probability of obtaining at least 37. ones

Answers

The approximate probability of obtaining at least 37 ones is -0.000005.

Given that, a fair die is tossed 180 times. A one refers to the face with one dot.

Thus, P(one) = 1/6.The probability of obtaining at least 37 ones can be approximated using the normal distribution.

Using the central limit theorem, we have,μ = n * P = 180 * (1/6) = 30 andσ² = n * P * (1 - P) = 180 * (1/6) * (1 - 1/6) = 25/6

Since we cannot use a normal distribution directly since we need to find the probability of at least 37 ones, we use a continuity correction by considering the range from 36.5 to 37.5 ones.

Now, using the standard normal distribution, we have, z = (37.5 - 30) / √(25/6) = 5.40 and z = (36.5 - 30) / √(25/6) = 4.87

Using a table of standard normal distribution, the probability corresponding to z = 5.40 and z = 4.87 are 0.0000034 and 0.0000084, respectively.Using continuity correction, the approximate probability of obtaining at least 37 ones is given by,P(X ≥ 37) ≈ P(36.5 ≤ X ≤ 37.5) = P( z ≤ 5.40) - P(z ≤ 4.87)= 0.0000034 - 0.0000084= -0.000005

Therefore, the approximate probability of obtaining at least 37 ones is -0.000005.

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The approximate probability of obtaining at least 37 ones is 0.8051.

Given that a fair die is tossed 180 times where the probability of getting a one is 1/6.

We need to find the approximate probability of obtaining at least 37 ones.

Using the binomial probability distribution, the probability of getting r successes in n independent trials can be given by:

[tex]P(r) = nCr x (p^r) x (1-p)^(n-r)[/tex]

Where n = 180, p = 1/6, q = 1- p = 5/6

We want to find the probability of getting at least 37 ones.

Therefore, we can subtract the probability of getting less than 37 ones from 1.

[tex]P(X≥37) = 1 - P(X<37) = 1 - P(X≤36)So, P(X≤36) = P(X=0) + P(X=1) + P(X=2) + .....+ P(X=36)P(X= r) = nCr x (p^r) x (q)^(n-r)[/tex]

On substituting the given values, we get:

P(X≤36) = ∑P(X = r)

n = 180

r = 0 to 36

p = 1/6, q = 5/6

[tex]P(X≤36) = ∑(nCr) × (p^r) × (q)^(n-r)[/tex]

n = 180, p = 1/6, q = 5/6= 0.1949

On subtracting it from 1, we get:

[tex]P(X≥37) = 1 - P(X<37) = 1 - P(X≤36)≈ 1 - 0.1949≈ 0.8051[/tex]

Therefore, the approximate probability of obtaining at least 37 ones is 0.8051.

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Vincent started driving at 45 miles per hour. After he drove 10 miles his friend Bill started driving the same route at a rate of 45 miles per hour. If they continue to drive at the same rate will Bill ever catch up to Vincent?

Answers

Answer: No

Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate

Heya!
[tex] \underline{ \underline{ \text{question}}} : [/tex] In the adjoining figure , PQRS is a parallelogram and X , Y are points on the diagonal QS such that SX = QY. Prove that the quadrilateral PXRY is a parallelogram.


Answers

Answer:

See Below.

Step-by-step explanation:

We are given that PQRS is a parallelogram, where X and Y are points on the diagonal QS such that SX = QY.

And we want to prove that quadrilateral PXRY is a parallelogram.

Since PQRS is a parallelogram, its diagonals bisect each other. Let the center point be K. In other words:

[tex]SK=QK\text{ and } PK = RK[/tex]

SK is the sum of SX and XK. Likewise, QK is the sum of QY and YK:

[tex]SK=SX+XK\text{ and } QK=QY+YK[/tex]

Since SK = QK:

[tex]SX+XK=QY+YK[/tex]

And since we are given that SX = QY:

[tex]XK=YK[/tex]

So we now have:

[tex]XK=YK\text{ and } PK=RK[/tex]

Since XY bisects RP and RP bisects XY, PXRY is a parallelogram.

help will mark brainliest also do u like my green screen?

Answers

Answer:

Cubes in each layer: 6

Number Of Layers: 5

Volume: 30

One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]

Answers

There are no possible positions for Ismael's house.

In this case, we need the following geometrical constructions:

1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.

2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.

All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.

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What is the equation of the graph?

Answers

5

---- is the answer to the question

-6

Answer:

y= 4/6x + 4

Step-by-step explanation:

The "rise" of the slope is 4 and the "run" of the slope is 6.

Sarah competes in a long jump competition.
Her first jump is 4.25 m.
I
Her best jump is 12% more than this.
However, her best jump is 15% lower than the winning jump.
Work out the length of the winning jump.

Answers

How to find Sarah’s best jump:
First you multiply 4.25 by 12% (or 0.12) to get 0.51 meters.
4.25 + 0.51 = 4.76 meters. So her best jump is 4.76 meters.
How to find the winning jump:
Since her best jump is 15% less than the winning jump, it must be 85% of the winning jump (as in 85 is 85% of 100).
So you divide 4.76 by 85% (or 0.85) which equals 5.6 meters.
So, the winning jump was 5.6 meters.

If you need help calculating percentages, you can use this website:

https://www.skillsyouneed.com/num/percent-calculators.html

Hope this helps!

Perform the indicated calculation. 5_P_2/ 10_P_4 (Round to four decimal places as needed.) 10 P

Answers

The permutations value of ₅P₂/₁₀P₄ is 1/252.

To perform the indicated calculation of ₅P₂/₁₀P₄, we need to evaluate the permutations.

The formula for permutations is given by nPr = n! / (n - r)!, where n is the total number of items and r is the number of items selected.

Let's calculate each permutation separately:

₅P₂ = 5! / (5 - 2)!

= 5! / 3!

= (5 * 4 * 3!) / 3!

= (5 * 4)

= 20

₁₀P₄ = 10! / (10 - 4)!

= 10! / 6!

= (10 * 9 * 8 * 7 * 6!) / 6!

= (10 * 9 * 8 * 7)

= 5,040

Now we can substitute the values into the expression:

₅P₂ / ₁₀P₄ = 20 / 5,040

Simplifying the division:

₅P₂ / ₁₀P₄ = 1 / 252

Therefore, the value of ₅P₂/₁₀P₄ is 1/252.

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Complete question:

Perform the indicated calculation: ₅P₂/₁₀P₄

The triangle has a height of 8 and a base of 14.

What is the area of the triangle?

Answers

Answer:

The answer is 56.

Step-by-step explanation:

The formula for a triangle is b×h÷2. So you just input the data. 8×14÷2.

help, please Ill mark brainliest!

Answers

Answer:

the answers are 12.5, 5, 2, 0.8 and 0.32

Step-by-step explanation:

2(0.4)^-2

=2(6.25)

= 12.5

2(0.4)^-1

= 2(2.5)

=5

2(0.4)^0

=2(1)

=2

2(0.4)^1

=2(0.4)

=0.8

2(0.4)^2

=2(0.16)

=0.32

A math equation. :!!!!!

Answers

Answer:

1/7

Step-by-step explanation:

The answer is 1/7 because there is 14 different outcomes and two of those is the black ones so that would be 2/14 which can be simplified to 1/7.

Describe how oral traditions, proverbs, and music are key features of Africa's cultural legacy.
==================================================================
Even if you spam the question or just use it for points GodBless you!! : 3

Answers

Answer:

like egip

Step-by-step explanation:

The verbal part of the GRE exam score can be modeled by a normal distribution with mean 160 and a standard deviation of 8. If a student who took this exam is selected at random, what is the probability that he/she obtained a score between 150 and 162? What is the score of a student who scored in the 82th percentile on the verbal part of the GRE?

Answers

The probability that a randomly selected student obtained a score between 150 and 162 on the verbal part of the GRE exam is approximately 0.383, or 38.3%.

To find the probability that a student obtained a score between 150 and 162, we need to calculate the area under the normal distribution curve between these two scores. Since the distribution is normal with a mean of 160 and a standard deviation of 8, we can use the Z-score formula to standardize the scores.

First, we calculate the Z-score for a score of 150:

Z1 = (150 - 160) / 8 = -1.25

Next, we calculate the Z-score for a score of 162:

Z2 = (162 - 160) / 8 = 0.25

Using a standard normal distribution table or a statistical calculator, we can find the area under the curve between these two Z-scores. The probability of obtaining a score between 150 and 162 is equal to the area to the right of Z1 minus the area to the right of Z2.

P(150 ≤ X ≤ 162) = P(Z1 ≤ Z ≤ Z2) ≈ P(Z ≤ 0.25) - P(Z ≤ -1.25)

Looking up these values in the standard normal distribution table, we find that P(Z ≤ 0.25) is approximately 0.5987 and P(Z ≤ -1.25) is approximately 0.1056. Subtracting the second probability from the first, we get:

P(150 ≤ X ≤ 162) ≈ 0.5987 - 0.1056 ≈ 0.4931

Therefore, the probability that a randomly selected student obtained a score between 150 and 162 is approximately 0.4931, or 49.3%.

To find the score of a student who scored in the 82nd percentile, we need to find the Z-score that corresponds to the 82nd percentile. The Z-score can be found using the inverse standard normal distribution (also known as the Z-score table or a statistical calculator).

The Z-score corresponding to the 82nd percentile is approximately 0.905. We can use this Z-score to find the corresponding score on the distribution using the formula:

X = Z * σ + μ

Substituting the values, we get:

X = 0.905 * 8 + 160 ≈ 167

Therefore, the score of a student who scored in the 82nd percentile on the verbal part of the GRE is approximately 167.

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Image is above

What is the area?

15 cm

20 cm

square centimeters

Answers

15 x 20 = 300 sq cm
To find the area of a rectangle do the formula A=lw
So basically you would do 20x15 and get the answer

What is the twelfth term in the sequence with nth term formula 5/6+1/2n? Give your answer as a top-heavy fraction in its simplest form.

Answers

Given:

The formula for nth term of a sequence is:

[tex]\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

To find:

The 12th term in the given sequence.

Solution:

Consider the formula for nth term of a sequence:

[tex]a_n=\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

Putting [tex]n=12[/tex], we get

[tex]a_{12}=\dfrac{5}{6}+\dfrac{1}{2}{12}[/tex]

[tex]a_{12}=\dfrac{5}{6}+6[/tex]

[tex]a_{12}=\dfrac{5+36}{6}[/tex]

[tex]a_{12}=\dfrac{41}{6}[/tex]

Therefore, the 12th in the given sequence is [tex]\dfrac{41}{6}[/tex].

picture included !

Find the solution to the system
of equations.

Answers

The solution is we’re the two lines cross which is (0,1)

Determine whether the logic used in each question is inductive reasoning or deductive reasoning.
a) Everyone in the Family Madrigal has a special gift. Luisa is in the Family Madrigal. Therefore, Luisa has a special gift.
b) Every dog I have seen is covered in fur. Barky is a dog. Therefore, Barky is covered in fur.

Answers

In both cases, the logic used is deductive reasoning. In the first question (a), the logic follows the form of a deductive syllogism. In the second question (b), the logic follows a deductive pattern.

In the first question (a), the logic follows the form of a deductive syllogism. It starts with a general premise that everyone in the Family Madrigal has a special gift. The second premise states that Luisa is in the Family Madrigal. From these two premises, the conclusion is drawn that Luisa has a special gift. This deductive reasoning relies on the truth of the premises and the logical structure of the argument.

Similarly, in the second question (b), the logic follows a deductive pattern. The first premise states that every dog the person has seen is covered in fur. The second premise states that Barky is a dog. From these premises, the conclusion is drawn that Barky is covered in fur. This deductive reasoning relies on the assumption that the person's observations are representative and that Barky fits the category of dogs.

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13=X/4

A. 13/4

B. 4/13

C. 52

D. 9

Answers

Answer:

Hi! The answer to your question is C. 52

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!

- Brooklynn Deka

Ashleigh can choose from one of 6 different routes to get to work. The routes are listed below.


• Main St.

• Route 6

• Hilltop Drive

• Medical Avenue

• Highway 220

• Friendship Boulevard


If she chooses one route at random, what is the probability that she will choose either Hilltop Drive or Medical Avenue to get to work?

Answers

Answer:

1 /3

Step-by-step explanation:

Total Number of routes = 6

Probability = required outcome / Total possible outcomes

Probability of any one of the routes :

Required outcome / Total possible outcomes

Probability of choosing any one of the routes = 1/6

Hence,

Probability of choosing either Hilltop. Drive or medical avenue =

1/6 + 1/6 = (1 + 1) / 6 = 2 /6 = 1/3

which is the next leap year after to 2017​

Answers

Answer:

2020

Step-by-step explanation:

Answer:

2020  i think i hope it is the right answer for you

If f(x) - 2x2 +5./(x-2), complete the following statement:
The domain for f(x) is all real numbers
than__or equal to 2.

Answers

Answer: Greater than or equal to 2.

Step-by-step explanation:

Given

Function is  [tex]f(x)=2x^2+5\sqrt{x-2}[/tex]

The entity inside a square root is always positive i.e. greater than equal to zero

[tex]\therefore \ x-2\geq 0\\\Rightarrow x\geq2[/tex]

So, the domain of the function is all real numbers greater than or equal to 2.

The graph shows the function f(x).

Which value is closest to the average rate of change from x = 1 to x = 3?



−3.5,
​​−2.3,
​​−1.8,
​​−0.3,

Answers

Answer:

-3.5

Step-by-step explanation:

Other Questions
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The Dahlia Medical Center has 32 labor rooms, 18 combination labor and delivery rooms, and 4 delivery rooms. All of these facilities operate around the clock. Time spent in labor rooms varies from hou Describe a hypothetical situation where aprospect has raised objections to yoursales pitch, and how you dealt with thoseobjections.You are required to1. Describe what was being sold2. Describe the prospects' objection3. And finally, describe how youhandled those objections ? You are considering going to graduate school for a 1-yearMasters program. You have done some research and believe that theMasters degree will add $5,000 per year to your salary for thenext 10 Which one of the following changes would cause the pressure of a gas to double assuming volume and moles were held constant?A) Increasing the temperature from 20.0 C to 40.0 C.B) Decreasing the temperature from 400 K to 200 K.C) Increasing the temperature from 200K to 400K.D) Decreasing the temperature from 40.0 C to 20.0 C. PLEASE HELP!!please please STC (Sullivision Television Company), who specializes in do-it-yourself Coreygami and Baton twirling programs, has just hired you. Your first task is to find out how many satellites the company will need. You know that Earth's diameter is approximately 8000 miles and the satellite will move in an orbit about 600 miles above the surface. The satellite will hover directly above a fixed point on the Earth. Draw CB and CD.3. Find the measure of AC: __________4. Find the measure of AB: __________.5. Find mBCA and mDCA _____________.6. Find mBCD _____________. 7. Find the arc length of arc BD. _________.8. How many satellites would you recommend Sullivision use so that the entire circumference of the Earth is covered? Show how your got your answer. Which of the following would you expect to be excluded from entering this hydrophobic substrate channel? Choose one or more: H20 Ca2+ fatty acids 02 One Trick Pony (OTP) incorporated and began operations near the end of the year, resulting in the following post-closing balances at December 31:Cash $ 31,290Accounts Receivable 13,800Allowance for Doubtful Accounts 770*Inventory 2,500Deferred Revenue (40 units) 6,400Accounts Payable 1,650Notes Payable (long-term) 24,000Common Stock 9,800Retained Earnings 4,970* credit balance.The following information is relevant to the first month of operations in the following year:OTP will sell inventory at $160 per unit. OTPs January 1 inventory balance consists of 50 units at a total cost of $2,500. OTPs policy is to use the FIFO method, recorded using a perpetual inventory system.In December, OTP received a $6,400 payment for 40 units OTP is to deliver in January; this obligation was recorded in Deferred Revenue. Rent of $1,340 was unpaid and recorded in Accounts Payable at December 31.OTPs notes payable mature in three years, and accrue interest at a 10% annual rate.January TransactionsIncluded in OTPs January 1 Accounts Receivable balance is a $2,400 balance due from Jeff Letrotski. Jeff is having cash flow problems and cannot pay the $2,400 balance at this time. On 01/01, OTP arranges with Jeff to convert the $2,400 balance to a six-month note, at 10% annual interest. Jeff signs the promissory note, which indicates the principal and all interest will be due and payable to OTP on July 1 of this year.OTP paid a $420 insurance premium on 01/02, covering the month of January; the payment is recorded directly as an expense.OTP purchased an additional 200 units of inventory from a supplier on account on 01/05 at a total cost of $10,000, with terms n/30.OTP paid a courier $400 cash on 01/05 for same-day delivery of the 200 units of inventory.The 40 units that OTPs customer paid for in advance in December are delivered to the customer on 01/06.On 01/07, OTP received a purchase allowance of $1,600 on account, and then paid the amount necessary to settle the balance owed to the supplier for the 1/05 purchase of inventory (in c).Sales of 60 units of inventory occurring during the period of 01/0701/10 are recorded on 01/10. The sales terms are n/30.Collected payments on 01/14 from sales to customers recorded on 01/10.OTP paid the first 2 weeks wages to the employees on 01/16. The total paid is $3,080.Wrote off a $880 customers account balance on 01/18. OTP uses the allowance method, not the direct write-off method.Paid $2,680 on 01/19 for December and January rent. See the earlier bullets regarding the December portion. The January portion will expire soon, so it is charged directly to expense.OTP recovered $340 cash on 01/26 from the customer whose account had previously been written off on 01/18.An unrecorded $210 utility bill for January arrived on 01/27. It is due on 02/15 and will be paid then.Sales of 70 units of inventory during the period of 01/1001/28, with terms n/30, are recorded on 01/28.Of the sales recorded on 01/28, 10 units are returned to OTP on 01/30. The inventory is not damaged and can be resold. OTP charges sales returns to a contra-revenue account.On 01/31, OTP records the $3,080 employee salary that is owed but will be paid February 1.OTP uses the aging method to estimate and adjust for uncollectible accounts on 01/31. All of OTPs accounts receivable fall into a single aging category, for which 10% is estimated to be uncollectible. (Update the balances of both relevant accounts prior to determining the appropriate adjustment.)Accrue interest for January on the notes payable on 01/31.Accrue interest for January on Jeff Letrotskis note on 01/31 (see a). Explain, with the aid of a diagram, the impact of adverse selection problem to the market demand curve of a normal good. Solve the following differential equations using Laplace transform. Use the Laplace transform property table if needed. a) 5j + 3y +0.25y = e(-2)u, (t 2) t>2 (assume zero initial conditions) 3. Sigma Pty Ltd uses the weighted-average method in its processcosting system. This month, the beginning inventory in the firstprocessing department consisted of 1100 units. The costs andpercentag Pharmaceutical Benefits Managers (PBMS) are intermediaries between upstream drug manufacturers and downstream insurance companies. They design formularies (lists of drugs that insurance will cover) and negotiate prices with drug companies. PBMs want a wider variety of drugs available to their insured populations, but at low prices. Suppose that a PBM is negotiating with the makers of two nondrowsy allergy drugs, Clantin and Allegra, for inclusion on the formulary. The "value" or "surplus created by including one nondrowsy allergy drug on the formulary is $244 million, but the value of adding a second drug is only $24 million. Assume the PBM bargains by telling each drug company that it's going to reach an agreement with the other drug company.Under the non-strategic view of bargaining, the PBM would earn a surplus ______________$ million. The HR department needs to make a plan to recruit a new batch of fresh Engineering Graduates into various departments as part of the annual recruitment process for 2022-2023. Additionally, they would also like to make a plan for lateral recruitment of talent for the next quarter to fill the vacancies and meet the workforce demand. Determine how you would structure a dashboard for the purpose. Clearly sketch a typical dashboard [6 marks] with its essential components that enables the HR manager to plan and strategize the operations. A company has projected sales for the coming year as follows:Q1Q2Q3Q4Sales$ 970$ 1,050$ 1,010$ 1,110Sales in Q1 of the year following this one are projected to be $1,115.50. Calculate payments to suppliers assuming that the company places orders during each quarter equal to 30 percent of projected sales for the next quarter and a 60-day payables period. Which of these statements most closely reflects the main idea of the following passage?I did not know then that I would do the same for my own children, preferring nature's provision over those orange- and pink- and purple-colored medicines. I just felt ashamed, especially when he packed it in my lunch for the annual field trip, where other children brought colorful flavored fruit drinks made with "chemicals," my father insisted.A. The authors embarrassment turned to imitation as she aged and became a mother.B. Colorful fruit drinks contain dangerous chemicals.C. Her father suffered a long-term illness from drinks containing chemicals.D. Li grew up to be deeply resentful of her father. Question 3 (Total points 15) The market portfolio of an investment bank has a current value of $15mln and a daily standard deviation of 100 basis points. A. The Chief Risk Officer (CRO) want calculates the market risk of the portfolio using the delta-normal approach. Find the 99% 1-day Value-at-Risk (VaR). (2 points) B. In his back-testing, the CRO finds that during the last year, the ten worst losses have been as follows: $500,000, $450,000, $400,000, $360,000, $350,000, $290,000, $280,000, $275,000, $255,000, $230,000. What can the CRO conclude about the quality of the risk model? Explain the reasons behind your statement. (5 points) C. If you know that the portfolio is mainly made of derivative instruments, which alternative methodologies would you recommend the CRO to use to have a better estimation of the market losses? Clearly explain why these alternative methodologies are better than the delta-normal approach. (8 points)