jessica made $234 for 13 hours of work. At the same rate, how many hours would she have to work to make $162?

Answers

Answer 1

Answer: 9 hours

We would get:

1 hour of work = $18

162 divided by 18 = 9

So she would have to work 9 hours

Answer 2

Answer:

9 hours

Step-by-step explanation:

Step One: A rate is the same thing as ratio. This just means that there is a proportion. For example, for every 3 dogs, there are 4 cats. This would mean that for 6 dogs there are 8 cats, and so on.

Step Two: Okay, because these numbers are larger, it is easiest to scale it back to one. The proportion or rate given is $234/13 hours. We would divide by 13 to get it to 1: $18/1 hour. The proportion is usually a decimal, but these numbers happen to divide nicely.

Step Three: Now, we can do 162/18 to see what the scale is, or how much times larger it is: 162/18=9.

Step Four: Lastly, just do 1 times 9, which tells it is 9 hours. To check the work, make sure 9 is less than the original proportion; it should take less time to make less money. 9 is less than 13, so this is the answer!


Related Questions

What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

2^3 is equivalent to 8.

Answer:   A:2^3

Step-by-step explanation:

8=2*2*2=(2)^3

Choose the correct answer.

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%

Answers

answer:

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?

45 %

The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

How to determine the change in the rates?

From the chart (table), we have the following rates in Germany:

Rate in 1970 = 27.42Rate in 1976 = 39.74

The percentage change is then calculated using:

Percentage change= (Final - Initial)/Initial * 100%

This gives

Percentage change= (39.74 - 27.42)/27.42* 100%

Evaluate the quotient

Percentage change= 0.45* 100%

Evaluate the product

Percentage change= 45%

Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

Read more about percentage change at:

https://brainly.com/question/978738

Given the figure below, find the values of x and z.

Answers

Answer:

x = 12

z = 101

Step-by-step explanation:

Hello There!

First lets find z

Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180

So we can find the missing angle by subtract the given angle (79 in this case) from 180

180 - 79 = 101 so z = 101

Now lets find x

The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles

If you didn't know vertical angles are congruent

That being said lets create an equation to solve for x

79 = 6x + 7

now we solve for x

step 1 subtract 7 from each side by

7 - 7 cancels out

79 - 7 = 72

now we have 72 = 6x

step 2 divide each side by 6

72/6=12

6x/6=x

we're left with x = 12

John is 30 years old. He will receive two payments of $2500 each. The first payment will be an unknown number of years in the future. The second payment will be five years after the first payment. At an annual effective interest rate of I=5%, the present value of the two payments is $2606. Determine at what age John will receive the second payment.

Answers

Answer:

16 years

Step-by-step explanation:

Let us assume that he would received the first payment after t years

So

The following formula should be used

PV = P ÷ (1 + r)^t + P ÷ (1 + r)^t+5

$2,606 = $2,500 ÷ (1 + 0.05)^t + $2,500 ÷ (1 + 0.05)^t + 5

$2,606 = $2,500 ÷ 1.05^t (1 + 1 ÷ (1.05)^5)

1.05^t = $2,500 ÷ $2,606 (1.7835) = 1.71098

t = ln(1.71098) ÷ ln(1.05)

= 11

Therefore he would be received the second payment after

= 11 + 5

= 16 years

the Median.)
Find quartile 2 using the data below:
23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67

Answers

Answer:

52

Step-by-step explanation:

if you put the numbers in order from least to greatest you'll see that 52 is in the middle

Arthur wrote that 15 – 14.7 = 3.

Use the drop-down menus to explain why 3 is incorrect.

Answers

the point is supposed to be in front of the three

.3

Answer:

the answer is 0.3

Step-by-step explanation:

I hoped this helped

Find the value of x for which / || m

Answers

Answer:

Step-by-step explanation:

A: x>106

B: x<106

C: x=106


Which one is it?

Answers

Answer:

x is equal to 106

Step-by-step explanation:

when x is on the opposite side of 2 intersecting lines, it will be the same angle as the angle opposite to it

What is the range of the function f = [0,00) + R, defined by the rule f(t) = -247 (a) (0,1) (c) R (b) (0,11 (d) (0,00)

Answers

The range of the function f = [0,00) + R, defined by the rule f(t) = -247 is {-247}. The correct option is d.

The range of a function is the set of all possible outputs or y-values. Here, the function is f(t) = -247 with the domain [0,00), which means that for any value of t between 0 and 00 (excluding 00), the function will always give the same output, -247. This is because the rule for the function is simply -247, and doesn't depend on the input value of t.

The range of the function f is simply {-247}, which is a singleton set containing only one element (-247). In other words, the only possible output or y-value for this function is -247, and there are no other possible values for f(t) for any value of t between 0 and 00 (excluding 00).

Thus, the correct option is d.

To know more about function, refer to the link below:

https://brainly.com/question/17440903#

#SPJ11

PLEASE HELP!! I DON'T UNDERSTAND!!!!! I WILL MARK!!!!

Answers

Answer:

2

Step-by-step explanation:

first use order of operations.

1/2(4^2)-6

1/2*16-6

then simplify to get:

8-6=2

Answer: 2

Step-by-step explanation:

The question is asking you to substitute the b with 4 and find the solution to the expression.

[tex]\frac{1}{2}b^{2} -6[/tex]

[tex]=\frac{1}{2}(4)^{2} -6[/tex]

[tex]=\frac{1}{2}(16) -6[/tex] (PEMDAS so you do the exponent first)

[tex]=8 -6[/tex] (PEMDAS so you do the multiplication first)

[tex]=2[/tex]

Use the SOR method with w = 1.2 to solve the following linear system with a tolerance TOL = 10-3 in the lo norm. - 4x1 + x2 – x3 + x4 = -2, X1 + 4x2 – X3 – X4 = -1, -X] – x2 + 5x3 + x4 = 0, X1 – x2 + x3 + 3x4 = 1.

Answers

Using the Successive Over-Relaxation (SOR) method with a relaxation factor of w = 1.2 and a tolerance of TOL = 10^-3 in the l2 norm, the linear system of equations can be solved iteratively. The solution will converge to the desired tolerance level.

The SOR method is an iterative technique used to solve linear systems of equations. It requires an initial guess for the solution and iteratively updates the values until the desired tolerance is reached.

To apply the SOR method, the given linear system can be rewritten as a matrix equation: AX = B, where A is the coefficient matrix, X is the solution vector, and B is the constant vector. The system can be solved by iterating through the equations and updating the values of X until convergence is achieved.

In this case, the SOR method is performed with a relaxation factor of w = 1.2, which helps to accelerate convergence. The tolerance is set to TOL = 10^-3, indicating the desired level of accuracy.

The SOR algorithm is then applied iteratively until the solution converges within the specified tolerance. The updated values of X are calculated using the SOR formula, and the process is repeated until the difference between consecutive iterations falls below the tolerance level.

By following this iterative process with the given parameters, the SOR method will yield the solution to the linear system of equations.

Learn more  about linear system of equations here:

https://brainly.com/question/20379472

#SPJ11

I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

Cari’s Bakery, Inc., began operations in October. The owner contributed cash of $14,400 and a delivery truck with fair value of $19,200 to the company.

Which of the following describes how these transactions would affect the company’s equity accounts?

A) Increase contributed capital by $33,600

B) Increase earned capital by $33,600

C) Increase contributed capital by $14,400 and earned capital by $19,200

D) Increase earned capital by $14,400 and contributed capital by $19,200

E) None of these are correct.

Answers

The transaction would affect the company's equity accounts by increasing contributed capital by $14,400 and earned capital by $19,200. The correct answer is option C.

Equity accounts are a component of the balance sheet that represents the net worth of a business. The equity accounts include contributed capital and earned capital. Contributed capital, also referred to as paid-in capital, is the value of cash or other assets contributed to a company by investors in exchange for shares of ownership in the company. Contributed capital represents the long-term financial interests of owners in the business.

Earned capital is the amount of money that a business earns through its operations. It is also referred to as retained earnings. The difference between a business's assets and liabilities is its equity. It represents the total value of the assets that a company owns after all liabilities have been settled. According to the question, the owner contributed cash of $14,400 and a delivery truck with a fair value of $19,200 to the company. This transaction will increase contributed capital by $14,400 (the cash contribution) and increase earned capital by $19,200 (the delivery truck contribution).Therefore, option C: Increase contributed capital by $14,400 and earned capital by $19,200 is the correct answer.

More on transactions: https://brainly.com/question/24730931

#SPJ11

How would I put this?

Answers

Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

10.35 because 63756 times 60= 3825360 and 5280 times 70= 369600 and 3825360 divided by 369600= 10.35

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

Each number is 2 to the power some integers.

Step-by-step explanation:

The pattern is 4,8,16,32,64,128.

It follows the exponent of 2.

4=2*2 =[tex]2^{2}[/tex]

8=2*2*2=[tex]2^{3}[/tex]

16= [tex]2^{4}[/tex]

32 =[tex]2^{5}[/tex]

64=[tex]2^{6}[/tex]

128 =[tex]2^{7}[/tex]

so, it is 2 to the power integers.

Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!

Answers

Answer: n=4

Step-by-step explanation:

Given

3n-(2+n)=6

Expand Parenthesis (REMEMBER TO CHANGE SIGNS)

3n-2-n=6

Combine like terms

2n-2=6

Add 2 on both sides

2n-2+2=6+2

2n=8

Divide both sides by 2

2n/2=8/2

n=4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4

Step-by-step explanation:

4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!

someone help please!! oh and pls don’t put any links

Answers

Answer:

10 visits

Step-by-step explanation:

So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.

The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.

Answers

Answer:

whats the question?

Step-by-step explanation:

i need to find the area and circumference for each circle

Answers

Answer:

Step-by-step explanation:

5

Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CPOCTAC, HL, AA
Similar Triangle Justifications Congruent Triangle Justifications​

Answers

Answer:

hi

Step-by-step explanation:

by

Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8

Answers

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

solve the problem. determine if the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x). f (x) = 3x3 2x2 - 9x 4 select one: a. yes b. no

Answers

The correct answer is: a. yes. To determine if the lower bound theorem identifies -4 as a lower bound we need to analyze the behavior of the function as x approaches negative infinity.

The lower bound theorem states that if a polynomial function has a negative leading coefficient (in this case, 3), then any lower bound M must have the property that f(M) is either negative or zero.

Let's evaluate f(-4) to see if it is negative or zero: f(-4) = 3(-4)^3 + 2(-4)^2 - 9(-4) + 4= 3(-64) + 2(16) + 36 + 4= -192 + 32 + 36 + 4= -120. Since f(-4) = -120 is negative, the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x).Therefore, the correct answer is: a. yes

To learn more about  polynomial function, click here: brainly.com/question/12158280

#SPJ11

There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

Software can generate samples from (almost) exactly Normal distributions.
Here is a random sample of size 5 from the Normal distribution with mean 10 and standard deviation 2:

6.47 7.51 10.10 13.63 9.91

These data match the conditions for a z test better than real data will: the population is very close to Normal and has known standard deviation s = 2, and the population mean is µ = 10.
Test the hypotheses

H0 : µ = 8
Ha : µ ? 8
In Exercise 15.41 (given above), a sample from a Normal population with mean µ = 10 and standard deviation s = 2 failed to reject the null hypothesis H0 : µ = 8 at the a = 0.05 significance level.
Enter the information from this example into the Power of a Test applet.
(Don't forget that the alternative hypothesis is two-sided.)
What is the power of the test against the alternative µ = 10?

Answers

The power of the test against the alternative µ = 10 is 1.

Given: A sample from a Normal population with mean µ = 10 and standard deviation s = 2 failed to reject the null hypothesis

H0: µ = 8 at the a = 0.05 significance level.

To find :

The power of the test against the alternative µ = 10.

Step 1: We have

H0 : µ = 8

Ha: µ ≠ 8α

= 0.05

Sample size n = 5

Population Standard deviation s = 2

Population means µ = 10

The alternative hypothesis is two-sided.

Hence α/2 = 0.025.

Using a normal table, the critical values for a two-tailed test at the 0.05 level of significance are -1.96 and +1.96 respectively.

Step 2: We know that

[tex]\[z=\frac{\overline{x}-\mu }{\frac{s}{\sqrt[]{n}}}\][/tex]

where [tex]\[\overline{x}\][/tex] = sample mean,

µ = Population mean,

s = Population Standard deviation and

n = sample size.

By using the given data, z can be calculated as below:

[tex]\[z=\frac{10-8}{\frac{2}{\sqrt[]{5}}}[/tex]

=[tex]4.47[/tex]

The value of z falls in the critical region if it is less than -1.96 or greater than +1.96.

Since 4.47 is greater than +1.96, the null hypothesis is rejected.

Since the null hypothesis is rejected, it is logical to expect that the power of the test will be high.

Hence, the power of the test against the alternative µ = 10 is 1 (100%).

To know more about hypothesis visit:

https://brainly.com/question/606806

#SPJ11

find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. a(3, 4, 1), b(0, 6, 2), c(3, 5, 6)

Answers

The lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

To find the lengths of the sides of the triangle with vertices A(3, 4, 1), B(0, 6, 2), and C(3, 5, 6), we can use the distance formula.

The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in three-dimensional space is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Let's calculate the lengths of the sides of the triangle:

Side AB:

d₁ = √((0 - 3)² + (6 - 4)² + (2 - 1)²)

= √((-3)² + 2² + 1²)

= √(9 + 4 + 1)

= √14

Side BC:

d₂ = √((3 - 0)² + (5 - 6)² + (6 - 2)²)

= √(3² + (-1)² + 4²)

= √(9 + 1 + 16)

= √26

Side AC:

d₃ = √((3 - 3)² + (5 - 4)² + (6 - 1)²)

= √(0² + 1² + 5²)

= √(0 + 1 + 25)

= √26

Now, let's analyze the triangle based on the lengths of its sides:

Since all three sides have different lengths (√14, √26, and √26), the triangle is neither an isosceles triangle (which has at least two sides of equal length) nor a right triangle (which satisfies the Pythagorean theorem).

In summary, the lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

Learn more about isosceles triangle here

https://brainly.com/question/29793403

#SPJ11

the temperature is -2c if the temputure rises to 15c , what is the new temputure

Answers

Answer:

13c

Step-by-step explanation:

-2 + 12 = 13

During the summer John collected cans to recycle. In August he collected 718 cans bringing his total to 2,275 cans. How many cans did John collect before August?

Answers

Answer: 1557 cans

Step-by-step explanation:

Since we are informed that John collected 718 cans in August bringing his total number of cans to 2,275 cans, the number of cans that John collected before August will be:

= Total number of cans collected - Number of cans collected in August

= 2275 - 718

= 1557 cans

A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches

Answers

Answer:

20

Step-by-step explanation:

length x width = area

4 x 5 = 20

(not 100% sure, but I hope this helps)

Pls help, answer righhand I’ll mark brainly and you big smart!

Answers

Answer:

A. and C.

Step-by-step explanation:

Just remember that to find the roots, use the equation:

(-b +/- sqrt[b^2 - 4ac])/2a

I would appreciate Brainliest, but no worries.

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW

Answers

Answer:

Step-by-step explanation:

Answer:

13107 employees

A. The picture

B. 10,972 + 2,135 = n

13107 = n

Step-by-step explanation:

10,972 + 2,135 = 13107

What should be drawn is in the photo.

Other Questions
t) Consider the initial value problem y +3y= 0 if 0t Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of686babies born in New York. The mean weight was3412grams with a standard deviation of914grams. Assume that birth weight data are approximately bell-shaped. Estimate the number of newborns who weighed between2498grams and4326grams. Round to the nearest whole number.The number of newborns who weighed between2498grams and4326grams is Politicians have incentive to support special-interest groups at the expense of unorganized, widely dispersed groups (for example, taxpayers or consumers) Oa. only when the benefits that accrue to the special-interest group exceed the costs imposed on others. Ob. when non-special-interest voters are unconcerned or uninformed about the issue, and campaign funds are readily available from the special-interest group.Oc. only if the government action is efficient. Od. only if the government action reduces the size of the budget deficit. Quinoa Farms just paid a dividend of $3.90 on its stock. The growth rate in dividends is expected to be a constant 5 percent per year indefinitely. Investors require a return of 13 percent for the first three years, a return of 11 percent for the next three years, and a return of 9 percent thereafter. What is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current share price $ 34.00 Use Euler's method with step size h = 0.1 to approximate the value of y(2.2) where y(x) is the solution to the following initial value problem. y' = 6x + 4y + 8, v(2) = 3 = Which substance is readily soluble in hexane (C6H14)?A. H2OB. PCl3C. KOHD. C3H8 the square of the difference between each individual score in all groups and the mean of all the data"" describes which? 1. Why dont microorganisms in cultures exhibit constant exponential growth? What are some steps you could take to extend the lifespan of a microbial culture? 2. Using a textbook or a reputable online source, describe how lab cultures are maintained in a continual pattern of growth. Focus particularly on those used in biotechnology, such as E. Coli, which is used to make human insulin. 3. Which of these has a constant growth pattern: an open system or a closed system? 4. A human patient represents what kind of system for bacterial infections? 5. Youre a physician trying to isolate bacterial colonies from the human gut in attempt to diagnose a gastrointestinal infection. You streak your sample on a growth media containing glucose, amino acids, and salts that contain both sulfur and phosphorous with a pH of 7. You incubate the plates in aerobic conditions at 37 C for three days, at which point you can see clear bacterial colonies forming on the plate. Would you feel confident in stating that you had successfully cultured all the bacteria from your gut sample? Why or why not? Which of the following statements about IQ or intelligence is true? Modifications in environment have no impact on one's IQ score. Schooling has been shown to have no influence over intelligence. The conception of intelligence is the same across cultures. IQ scores have been rapidly increasing around the world. Which of the following is not a feature of Bluetooth?a. Power-savingb. Master and slave changing rolesc. Slaves authenticates masterd. Asymmetric transmission Panademic of 2020 has lots of effects in the buisnessand how they operate it. How could businesses use projectmanagement can help to solve all the challenges and respond to newways of working? 300 The following differential equation describes the movement of a body with a mass of 1 kg in a mass-spring system, where y(t) is the vertical position of the body (in meters) at time t. y" + 4y + 5y = e -2 To determine the position of the body at time t complete the following steps. (a) Write down and solve the characteristic (auxiliary) equation. (b) Determine the complementary solution, yc, to the corresponding homogeneous equation, y" + 4y' + 5y = 0. (c) Find a particular solution, Yp, to the nonhomogeneous differential equation, y" + 4y' + 5y = e-2t. Hence state the general solution to the nonhomogeneous equation as y = y + yp. (d) Solve the initial value problem if the initial position of the body is 1 m and its initial velocity is zero. Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent pollasked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive of the 1,035 surveyed, 458 Indicated that they were satisfied Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed v What are the null and alternative hypotheses? Hop versus H, (Round to two decimal places as needed.) Use technology to find the 90% confidence interval The lower bound is The upper bound is (Round to two decimal places as needed.) What is the correct conclusion? O A Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed O B. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed OC. Since the interval does not contain the proportion stated in the nuli hypothesis, there is intufficient evidence that parents' attitudes toward the quality of education have changed. OD. Since the interval contains the proportion stated in the nuill hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. A negotiator's reservation point has the most direct influence on their final outcome. A negotiator's reservation point is a quantification of the negotiator's:a) BATNAb) target pointc) bargaining zone (ZOPA)d)opening offer Let (Y_t, t = 1,2,...) be described by a linear growth model. Show that the second differences Z_t = Y_t 2Y_t1 + Y_t2 are stationary and have the same autocorrelation function of a MA (2) model. Union Local School District has bonds outstanding with a coupon rate of 3.7 percent paid semiannually and 16 years to maturity. The yield to maturity on these bonds is 3.9 percent and the bonds have a par value of $5,000. What is the dollar price of the bond? Settlement date Maturity date Coupon rate Coupons per year Redemption value (% of par) Yield to maturity Par value $ 1/1/2000 1/1/2016 3.70% 2 100 3.90% 5,000 Complete the following analysis. Do not hard code values in your calculations. Leave the "Basis" input blank in the function. You must use the built-in Excel function to answer this question. Dollar price To emphasize the importance of honesty in filling out application forms employees should fill out an attestation clause. In this context, what is an attestation clause. O a. A clause that states that the information provided is true and complete to the applicant's knowledge O b. A clause that states that the applicant is always honest and would never be untruthful O c. A clause that states that applicants who lie will be prosecuted and be charged criminally Od. A clause that states that the employer will be truthful throughout the job application process A patient with diabetes has a new prescription for the ACE inhibitor lisinopril. She questions this order because her physician has never told her that she has hypertension. What is the best explanation for this order?a. The doctor knows best.b. The patient is confused.c. This medication has cardioprotective properties.d. This medication has a protective effect on the kidneys for patients with diabetes. Martin Corporation, the maker of a variety of rubber products, is in the midst of a business downturn and has many idle facilities. Nationwide Tire Company has approached Martin to produce 300,000 oversized tire tubes for $2.40 each. Martin predicts that its variable costs will be $2.60 each. Its fixed costs, which had been averaging $2.00 per unit on a variety of products, will now be spread over twice as much volume. The president commented, "Sure we will lose $.20 each on the variable costs, but we will gain $1 per unit by spreading our fixed costs over more units. Therefore, we should take the offer because it would gain us $.80 per unit." Martin currently has a volume of 300,000 units, sales of $1,200,000, variable costs of $780,000, and fixed costs of $600,000. Required: a. Compute the impact on operating profit if the special order is accepted. Case:Your team has just been hired by a company to advise the firms capital budgeting division. The company has raised a sum of money, which will be invested in a new project. From your team of financial specialists, they are seeking advice on the financial feasibility of one of the proposed projects, and its potential effects on the wealth of the shareholders of the company. Over the last two years, the company has already spent $100,000 on R&D for the newly proposed project. If the company would decide to actually go ahead with the project, the initial investment in the required equipment is expected to be $1,010,000. The new project is expected to run for 10 years, and after that point the project will be retired. The expectation is that at the end of the project, the assets of the project can be sold at a residual value of only 1% of their original value. Half of the total sum which the company has raised for this project has been borrowed at an interest rate equal to the average cost of debt of the company of 4.4%. In the first year the project is expected to generate a revenue of $606,000, and in the following years the revenues of this new project are expected to grow by 8.1% each year. Your team will have to determine the rest of the cash flows associated with this proposed project. The CFO of the company has indicated that it would be reasonable to expect that the operating costs of the new plant will be of similar proportion relative to the revenues as the companys other projects, which is at 65%. The new project would require an additional NWC of $20,200. Depreciation of the new equipment should be done in a straight-line over the full life of the project to a value of 0. Based on the already existing projects of the company, which will be running for the foreseeable future, the company is currently able to pay a stable yearly dividend of $5.00 per share. The company has 100,000 shares outstanding, and the shareholders require a return of 14.7%. The company is financed for 70% with equity, and 30% with debt (that is including the new loan). The effective tax rate for the company is 11%. If the company would decide to go ahead with the project, the yearly cash flows of the project can be partially paid out to the shareholders, and partially reinvested in other projects. The CFO has indicated that the company intends to have a payout ratio of 40%, such that each year 40% of free cash flows of the project will be paid as dividends.Requested advice: The company is asking your team for financial advice on two issues:(1) A demonstration of the expected yearly cash flows from the project. Remember, members of the senior management team often do not have a finance background, so you will have to present clear tables which show the calculation of the free cash flows, and clearly explain how the free cash flows were computed. You basically have to explain them to them in your presentation how capital budgeting works.(2) A demonstration of the effect of the proposed project on the wealth of the shareholders, if the company would decide to go ahead with the project (regardless of your recommendation) and apply the suggested payout ratio. Present a well-designed figure that shows year by year, the change in the wealth of shareholders (= the share price + total dividends received). Also show their yearly capital gains and dividend yields.Hints:o Calculate for every year of the project the total dividends paid. (= the stable dividend from existing projects + the paid dividends from the project)o Calculate for every year the 3-year average growth rate in total dividends that is the average of the dividend growth rate over that year and the growth rate over the previous two years. (This can be done from year 3 onwards)o Calculate for each year (from year 3 onwards) the share price using the DDM. You can use the average growth rate over the previous 3 years as the expected dividend growth rate in future.