What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

106

Step-by-step explanation:

reflection


Related Questions

You start at (8, 0). You move left 8 units. Where do you end?

Answers

Answer:

(0, 0)

Step-by-step explanation:

x = 8 - 8 = 0

y-value remains the same.

Answer: You would move to the origin (0,0)

Step-by-step explanation:

This is because when you move in teh direction of left or right you would utilize the x-axis. Thus, moving over to the left 8 units would lead you to the origin or in other words (0,0).

The theoretical probability of rolling a 6 with a single die is

Answers

Answer:

1/6

Since there are 6 faces and you're asking if 1 face is the probability, the probability is 1/6

which list shows these numbers in order from least to greatest?

Answers

Answer:

B

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3

3[tex]\pi[/tex] = 9.42477

-2.4 = -2.4

-5 = -5

20% = 0.20

Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?

Answers

I’ll get it correct here :)

He ate 19.95 grams of sugar.

3.5 x 5.7 = 19.95

Generate a variable for the log of prices
Estimate the logistic regression for smoke on lpcigs when hi_ed=0. Then, calculate the predicted values for Y. The command to do this is "predict yhat_0." Repeat for when hi_ed=1, and also create a predicted value variable yhat_1.
Compare the coefficients for the two models. In words, explain what the model is saying about the impact of lpcigs for the two different education groups.
Coeff for hi_ed= 0 = .2527531
Coeff for low_ed = 0 = .4337571
The demand for cigarettes is more likely to change when the price level if cigarettes changes for highly educated people whereas for lower educated individuals are willing to pay for it. Cigarettes are an inferior good as well.
Create a graph of the predicted values for the two versions. Use the following syntax: twoway (line yhat_0 lpcigs, sort) (line yhat_1 lpcigs, sort), legend(label(1 "low ed") label(2 "hi ed"))
For a low education person, if the price of cigarettes doubles, the by approximately how much this change the odds of smoking? (Remember the interpretation of a log variable. A doubling is a change of 100%.)
A 100% change in price will change odds of smoking for low educated person will change odds of smoking by log(.2527531) = -.5973
Part 3)
Run a logit regression (stata command logit) for smoke on all the independent variables: age, educ, pcigs, income. Report the coefficients and p-values. This Model 1. Remember, for logit, (rather than logistic), the coefficients have not been exponentiated.
If the price of cigarettes increases by $1 (all else equal), then what will be the change in the odds of smoking?
If the price of cigarettes increases by $5 (all else equal), then what will be the change in the odds of smoking? (Here’s a hint: If you think this will be 5x as large as in part b, you are wrong. Close, but wrong.)
Create an interaction variable of educ and income. Run another logit regression, adding this interaction to Model 1. Report the coefficients and p-values. This is Model 2.
What differences strike you about Model 1 and Model 2? In particular, note how the significance levels of the variables of educ and income have changed now that the interaction is included. In a clearly articulated paragraph (or two) give a thoughtful answer as to what you think must be going on. (This is not easy. Take your time and think hard about it. Your answer should contain two parts. First, talk about what the coefficients of the Model 2 regression are implying. Second, try and come up with an intuitive/economic hypothesis for why we are observing these results.)
In model 2, the interaction variable (educ_income) accounts for interaction b/w education and income, it is more clear how smoking rates are affected by income and education. Without interaction variable results influenced b/w the two variables, showing higher education level the higher the income.
One would think that people who are more educated and have higher levels of income ewould smoke less, but this is not always true. People who have higher incomes generally are more stressed out, which could increase their probability of smoking. They could use smoking as a way to relax, because they have more disposable income.

Answers

In summary, the logistic regression models show that the demand for cigarettes is more likely to change with price for highly educated people than for lower educated individuals. The interaction between education and income in Model 2 shows that smoking rates are affected by both income and education.

To know more about the specific statistical analyses and their interpretation, it is recommended to refer to a Stata or statistical analysis guide. The provided information summarizes the steps involved in the analysis and the main findings. Running logistic regressions allows us to understand the impact of various factors on smoking behavior, considering different education and income levels. The interaction variable helps capture the combined effect of education and income on smoking rates. The interpretation of the coefficients and their significance levels provides insights into the relationship between the variables and the likelihood of smoking. Understanding these findings can contribute to understanding smoking behaviors and inform potential interventions or policies.

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A polynomial of the 5th
degree with a leading coefficient of 7 a and a constant term of 6

Answers

Answer:

7x^5 +6

Step-by-step explanation:

Consider the differential equation governing the motion of a block attached to a damped spring given by x¨+x˙+x=0 for a>0 and b>0. Is the equilibrium y globally asymptotically stable?
a) yes
b) no

Answers

Given the differential equation governing the motion of a block attached to a damped spring: x¨+x˙+x=0; a > 0, b > 0.To check if the equilibrium y is globally asymptotically stable or not, we will analyze the differential equation in detail. In the differential equation, x is the displacement of the block from the equilibrium position. When the block is at the equilibrium position, the displacement is zero. The equilibrium solution is x = 0.x¨ + x˙ + x = 0 represents a linear homogeneous differential equation of the second order with constant coefficients. The characteristic equation is r² + r + 1 = 0.

Let's solve the above characteristic equation: r² + r + 1 = 0r = (-b ± sqrt(b² - 4ac))/2a= (-1 ± sqrt(-3))/2As a > 0 and b > 0, r has negative real part. This means the solution of the differential equation is exponentially stable, which means that the system is asymptotically stable. Thus, the equilibrium y is globally asymptotically stable. Hence, the correct option is: a) yes.

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Which can be used to find the partial sum of the
first six terms?
1-55
4
1-59
1-5
1-5
(
이는
O O
(1-5)
1-5
1-65
1-6
4
DONE

Answers

Answer: A

Step-by-step explanation: Edge 2020

Answer:

A

Step-by-step explanation:

Correct on EDGE 2022

Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m): r = m + 5 r = 4m – 10 Which is the correct method to find Rose's and Milton's ages? Solve m + 5 = 4m – 10 to find the value of m. Solve r + 5 = 4r – 10 to find the value of m. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Answers

Answer:

It’s B

Step-by-step explanation:

I did this before and it’s B good luck

Question 4 of 15
When asked to find the sum of two mixed numbers with different
denominators, you should before you add.
A. round each fraction
B. find the difference
C. find a common denominator

Answers

“C” Os the correct answer

When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.

To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.

To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.

After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.

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What is -3/5 multiplied by 4/7?
Pls show answer with step by step answers explained pls

Answers

Answer:

-12/35

Step-by-step explanation:

-3×4/5×7

-12/35

"
(a) Show that if Y CZ and Z is bounded in (X,d), then Y is bounded and diam Y < diam Z. (b) Assume Y, Z C (x,d) are bounded. Show that diam(Y UZ) < diam Y + diam Z. (c) If Y C(X,d) is bounded
"

Answers

If Y is a subset of Z and Z is bounded in (X, d), then Y is bounded and the diameter of Y is less than the diameter of Z, and Assuming Y and Z are subsets of (X, d) and both are bounded, the diameter of the union of Y and Z, denoted as Y U Z, is less than the sum of the diameters of Y and Z. If Y is a subset of (X, d) and Y is bounded, the above statements still hold.

(a) If Y is a subset of Z and Z is bounded in (X, d), then Y is bounded and the diameter of Y is less than the diameter of Z.

To show that Y is bounded, we consider that Z is bounded, which means there exists a positive real number M such that for any two points z1 and z2 in Z, the distance between them, d(z1, z2), is less than or equal to M. Since Y is a subset of Z, every point in Y is also a point in Z. Therefore, the distance between any two points in Y, which is a subset of Z, is also less than or equal to M. Thus, Y is bounded.

Now, let's compare the diameters of Y and Z. The diameter of a set is defined as the supremum (least upper bound) of the distances between all pairs of points in the set. Since Y is a subset of Z, the distances between any two points in Y will also be distances between points in Z. Therefore, the diameter of Y cannot exceed the diameter of Z. In other words, diam Y < diam Z.

(b) Assuming Y and Z are subsets of (X, d) and both are bounded, we can show that the diameter of the union of Y and Z, denoted as Y U Z, is less than the sum of the diameters of Y and Z.

To prove this, let's consider two points p1 and p2 in Y U Z. These points can either both belong to Y or both belong to Z, or one point belongs to Y and the other belongs to Z. In any case, the distance between p1 and p2 will be either within Y or within Z, or it will be the sum of distances within Y and Z. In all scenarios, the distance between p1 and p2 will be less than or equal to the sum of the diameters of Y and Z.

Therefore, diam(Y U Z) < diam Y + diam Z.

(c) If Y is a subset of (X, d) and Y is bounded, the above statements still hold. The arguments presented in parts (a) and (b) remain valid regardless of the specific properties of Y as long as it is a subset of the metric space (X, d) and bounded.

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Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Height =9.7ft

Radius=7.6 feet

Volume of a cone =pai r2 h/3 =3.14×57.76×9.7÷3 =586.4103(roundoff)

=586ft

A drug store chain provides an app to its customers to track their shopping habits. One statistic the app

tracks is the amount of money the customer saves by purchasing sale items. The company's sales

team pulls data from the previous year for a random sample of 50 customers. They find that the

mean amount of money saved by these customers in the previous year is $154 with a standard

deviation of $26.

(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers

in the previous year by purchasing sale items.

(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of

error. Propose two changes that would decrease the margin of error. What are potential

drawbacks if those changes are implemented?

Answers

Answer:

a) CI ( 99% )  = ( 145,45 : 162,55)

b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Step-by-step explanation:

a) CI = 99 %       α = 1%   α = 0,01

From z-table     z(c)  ≈ - 2,325    |z(c)| ≈ 2,325

CI = ( μ₀ ± z(c) * σ/√n )

CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )

CI = ( 154 -  8,55  ;  154 + 8,55

CI ( 99% )  = ( 145,45 : 162,55)

b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE

Answers

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Venn is the circles and the tree is the green one (ignore the other thing on tree)

Roland runs, bikes, and swims 124 hours every month.

How many hours a month does Roland spend swimming?
62 hours per month
24.8 hours per month
37.2 hours per month

Answers

Answer: 62 hours per month

Step-by-step explanation:

Evaluate the expression: 2y-9 when y = 3

Answers

Answer:

-3

Step-by-step explanation:

2·3-9

6-9 = -3

How many possible sandwiches can be made from 3 types of bread, 5 types of cheese, and 6 types of filling, assuming each sandwich is made with 1 type of bread, 1 type of cheese, and 1 filling type?

Answers

Total combinations = each item x each item:

3 breads x 5 cheese x 6 filling = 90 different combinations

WILL GIVE BRAINLIEST!

3. Solve the equation x2 – 2x – 3 = 0 by graphing.

I also posted 4 other questions, I will give brainliest to anybody who helps me on those too. You don’t have to do all just at least one.

Answers

Answer:

x = -1,3 I think

I put it into math day look it up

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

Answers

Answer:

The last option is correct

If f(x) = 3x + 2, what is f(5)?

Answers

Hi there!

[tex]\large\boxed{f(5) = 17}}[/tex]

f(x) = 3x + 2, find f(5):

To find f(5), we simply substitute in 5 for x:

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

PLEASEEE HELP WILL MARK BRAINLIEST HELP QUICK!!

Answers

Answer:

A) y = 2x + 3

Step-by-step explanation:

when x is 2 and y is 7:

y = 2(2) + 3

y = 4 + 3

y = 7

This goes for the other values as well

Answer I think it is A

Step-by-step explanation:  

2 x 2 = 4 + 3 = 7

2 x 3 = 6 + 3 = 9

2 x 4 = 8 + 3 = 11

A small business owner is determining her profit for one month. Her expenses were $230.21 for utilities, $2,679.82 for rent, and $3,975.00 for employee salaries. She made $11,449.27 in sales for the month. What is her profit?

Answers

She made 9,604.21 sorry if I’m wrong I really tried

Her profit would amount to $4564.24 for one month which is determined by subtracting her total expenses from made revenue.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

For the month, she made a revenue of $11,449.27.

To calculate her profit, we have to subtract her total expenses from made revenue.

Her expenses were $230.21 for utilities, $2,679.82 for rent, and $3,975.00 for employee salaries which are given in the question.

Total expenses = 230.21 + 2,679.82 + 3,975.00 = 6885.03

As per the given data, the solution would be:

⇒ Total revenue - Total expenses

⇒ 11,449.27 - 11,449.27

Apply the subtraction operation, and we get

⇒ 4564.24

Therefore, her profit would amount to $4564.24 for one month.

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Define 1 if EC h(x) 0 if a (a) Show h has discontinuities at each point of C and is continuous at every point of the complement of C. Thus, h is not continuous on an uncount- ably infinite set. (b) Now prove that h is integrable on (0,1).

Answers

Thus, h is not continuous on an uncountably infinite set.

(a) The function h(x) is defined as: h(x) = 1 if x is an element of the set C h(x) = 0 if x is not an element of the set C. The function h has discontinuities at each point of C and is continuous at every point of the complement of C.

Therefore, by the Lebesgue integrability criterion, h is integrable on (0, 1).

(b) Now we have to prove that h is integrable on (0,1). Let C be a countably infinite set, and let E = (0, 1) \ C be the complement of C in (0, 1). Since h is continuous on E, we know that h is integrable on E. Also, h is bounded on (0, 1), since it takes values in the closed interval [0, 1]. Therefore, by the Lebesgue integrability criterion, h is integrable on (0, 1)..The function h(x) is defined as: h(x) = 1 if x is an element of the set C h(x) = 0 if x is not an element of the set C. The function h has discontinuities at each point of C and is continuous at every point of the complement of C. Thus, h is not continuous on an uncountably infinite set.Since h is continuous on E, we know that h is integrable on E. Also, h is bounded on (0, 1), since it takes values in the closed interval [0, 1].

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A bag of candy costs $3.75. If sales tax is 4% of the cost, HOW MUCH WOULD YOU BE CHARGED IN TAXES?

Answers

Answer:

0.15

Step-by-step explanation:

Brainliest?

Answer:

If a bag of candy costs $3.75 and the sales tax was 4% of the cost, then the amount of tax you would be charged is $.15

Step-by-step explanation:

4% = 0.04

0.04 * 3.75=.15

$.15

hope this helped :)

If f(x) = 3x5 - 2x3 + 1, then f(-1) = ? A) -250 B) -248 C) -234 D) 0

Answers

Answer: D.0

Step-by-step explanation:  i know am right, make me brainliest

use the remainder theorem to find the remainder when `p(x)=x^{4}-9x^{3}-5x^{2}-3x 4` is divided by `x 3`

Answers

We need to use the remainder theorem to find the remainder when the polynomial p(x) = x^4 - 9x^3 - 5x^2 - 3x + 4 is divided by the polynomial x - 3. The remainder when p(x) is divided by x - 3 is -212.

The remainder theorem states that if a polynomial f(x) is divided by x - a, then the remainder is equal to f(a).

In this case, we want to find the remainder when p(x) is divided by x - 3. To do this, we substitute x = 3 into the polynomial p(x) and calculate the result.

p(3) = (3)^4 - 9(3)^3 - 5(3)^2 - 3(3) + 4

     = 81 - 243 - 45 - 9 + 4

     = -212

Therefore, the remainder when p(x) is divided by x - 3 is -212.

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There are 6 cartons of orange juice in each package shown above. Kelsi paid $10.50 for 6 cartons of orange juice. What is the unit price per carton of orange juice?


A) $1.25 per carton B) $1.60 per carton © $1.75 per carton D) $1.80 per carton​

Answers

Answer:

c) 1.75

Step-by-step explanation:

Answer:

1:75

Step-by-step explanation:

Please say the answer as fast as possible. Your quick response would be highly appreciated. ( also please show the working , you could either type it or send a picture )

Answers

Answer:

Step-by-step explanation:

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What are the appropriate arguments to tie the requested flight to the flight data? How can you check to make sure that you have used a combination of the INDEX and MATCH function correctly? PLS HELP ANYONE!!!!! 85 points Preparing the quarterly cash budgets of the next year, obtained the flowwing sales forecasts from the marketing department, indicate if there is a need of cash borrowing, if yes compute the need of loan:1.Quarter 2.Quarter 3.Quarter 4.Quarter 1.Quarter ofYear AfterSales Forecasts 18.000 U. 20.000 U. 25.000 U. 22.000 U. 30.000 U.Unit sale price will be $18 and expected to collect 1/2 cash 1 month, 2 months later. In the production of one unit end product 4 units of direct material will be used. Marketing department needs a 15% end product stock of the following period sales at the end of every period. Manufacturing department needs a 20% direct material stock of the material to be used in the following period production at the end of every period. 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JHJ Rental Car Company purchases on January 1, 2017 five autos for $20,000 each paying $50,000. The autos will be depreciated over a 4-year useful life. Required: Record the acquisition of the autos on January 1, 2017. Also, record the adjusting entry for depreciation expense on December 31 and show the balance sheet presentation. 6. Assume JHJ Rental car company owned the cars purchased in exercise 13 on December 31,2018. Required: Prepare the adjusting required at December 31 and show the balance sheet presentation on December 31, 2018. 7. Assume JHJ Rental car company owned the cars purchased in exercise 13 on December 31,2019. Required: Prepare the adjusting required at December 31 and show the balance sheet presentation on December 31, 2019. 2 8. Assume JHJ GameStop in 2017 receives from 1,000 customers $50 for NBA2K18. At December 31, 900 customers have picked up their games. Required: Record the entry to record the receipt of the $50 from 1,000 customers. Then make the adjusting entry to record the delivery of 900 games to customers. 9. Assume JHJ GameStop in 2017 receives from 3,000 customers $100 for NBA2K18. At December 31, 2,500 customers have picked up their games. Required: Record the entry to record the receipt of the $100 from 3,000 customers. Then make the adjusting entry to record the delivery of 2,500 games to customers. Mailings $ 2017 4 All 2016 2018 ATE AJE HOMEWORK SUMMER 2022 Review View Table Design Layout Tell me 1. Rental Car Company in 2017 purchased supplies on account costing $25,000.00 At the end of the year supp on hand totaled $5,000.00 Required: Record the journal entry to acquire supplied and the adjusting entry required at year-end 2 2018 Real Car Company purchased supplies paying cash in the amount of $15,000.00 and purchased an additional $20,000.00 in supplies on account Required: Record the entries to purchase supplies. Also record the adjusting entry required at year end in 2018 if supplies on hand totaled $10,000.00. Your adjusting entry should reflect the fact that beginning supplies for 2018 were $5,000.00. (See exercise 1 M SUPPLIES Accessity Imestigate Preceding Entry SUPPLIES EXPENSE SUPPLIES SUPPLIES AP SUPPLIES ACCOUNT PAYABLE *5 SUPPLIES EXPENSE SUPPLIES % Cash DEBIT $25,000 15000 20,000 AJE HOMEWORK A 6 Debil $25,000 $20,000 $15.000 30,000 Supplies & 87 Credit 7 $25,000 $20,000 $15,000 MacBook Pro 20,000 $30,000 49 Purchase of supplies On accoun Alt-used supplies Purchase of supplies Purchase of supplies On account CREDIT $20,000 30,000 *CO 8 O 9 Shad Indicate the phase of growth of each of the following hairs: a. The root is club-shaped b. The hair has a follicular tag c. The root bulb is flame-shaped d. The root is elongated Say we measure 20 coyotes. What is the probability that the average coyote weight for these animals is less than 13kg? What is the probability that these coyotes show a mean weight between 14 and 16kg? If we measured 16 coyotes and found a sample mean of 16kg with a standard deviation of 3.5kg, find the 80% confidence interval for this data. Interpret what the confidence interval you found in question 7 means. Let [a,b]-R be a bounded function. (a) Define the upper and lower Riemann integral of on [a, b] carefully defining all terms used. (b) Prove that if is decreasing, then it is Riemann integrable on (a,b). in a bar chart the horizontal axis is usually labeled with the values of a qualitative variable t/f Question 1a) Within an IS-LM model, what scope do public authorities have to influence output and employment? Discuss with reference to a case where the central bank, due to inflation concerns, decides to decrease the money supply, using the appropriate diagrams and explaining the economic reasoning underlying each step. In your view, what are possible limitations of using the IS-LM model to do monetary policy analysis?b) How did Keynes explain the presence of persistent unemployment in mature economies? Does it matter for policy-making? Discuss. unky chicken is a calendar year general partnership with the following current year information: operating loss $ (300,000) liabilities: note payable, big bank 30,000 note payable, june cross 20,000 on january 1 june cross bought 60% of funky chicken for $45,000. how much of the operating loss may cross deduct currently? assume the excess business loss limitation does not apply. Today is 1 July, 2022. Rajesh is planning to purchase a corporate bond with a coupon rate of j2 = 6.05% p.a. and face value of $1 000. This corporate bond matures at par. The maturity date is 1 July, 2024. The yield rate is assumed to be j2 = 3.29% p.a. Assume that this corporate bond has a 3.83% chance of default in the first six-month period (i.e., from 1 July 2022 to 31 December 2022) and this corporate bond has a 3.2% chance of default in any six-month period during the term of the bond except the first sixmonth (i.e., 3.2% chance of default in any six-month from 1 January 2023 to 1 July 2024). Assume also that, if default occurs, Rajesh will receive no further payments at all. Question 10 [3 marks] What is the expected coupon payment on 1 January 2023? a. $28.160 5 b. $28.620 6 c. $29.282 0 d. $29.091 4Question 11 [3 marks] What is the expected coupon payment on 1 January 2024? a. $25.957 2 b. $28.160 5 c. $27.082 0 d. $27.259 4Question 12 [3 marks] Calculate the purchase price of this corporate bond. Round your answer to three decimal places. a. $923.741 b. $950.522 c. $978.875 d. $983.198 A retail electronic firm that has traditionally required customers to pay cash for items is considering introducing credit sales. The firm currently has revenues of $300,000 and after-tax operating income of $100,000. Without the credit sales, the growth in earnings and cash flows is expected to be 5%, while the cost of capital is 12%. With the introduction of credit sales, there is expected to be an increase in revenues by $5 million from $30 million to $35 million. The cost of goods sold will remain at 50% of revenues, and the firm faces a tax rate of 40%. The cost of capital will remain unchanged.a. Estimate the cash flows associated with introduction of credit sales.b. Estimate the net present value of the credit sales decision. What is the relationship between accounting costs, opportunity costs and the degree of contribution (i.e. productivity) of an input ? How does productivity influence an economys standard of living and corresponding economic growth ? Do firms consistently evaluate resource decisions as it relates to the flexibility of input (labor & capital) substitution in their busines model ? Explain. For 2021, MSU Corporation has $500,000 of adjusted taxable income, $22,000 of business interest income, and $120,000 of business interest expense. It has average annual gross receipts of more than $26,000,000 over the prior three taxable years.a. What is MSU's interest expense deduction for 2021?b. How much interest expense can be deducted for 2021 if MSU's adjusted taxable income is $300,000? Find all real values of x for which f(x)= 0. Certain standardized math exams have a mean of 100 and a standard deviation of 60. Of a sample of 36 students who take this exam, what percent could you expect to scorebetween 80 and 110?A) 84B) 815C) 83.85D) 85 Which of the following best describes the term explanatory variable? Select the correct answer below: the dependent variable in an experiment a value or component of the independent variable applied in an experiment a variable that has an effect on a study even though it is neither an independent nor a dependent variable the independent variable in an experiment