Warm-up, skill-building practice. Calculate the following:

1. Determine 5.54% of $12,693.

2. If someone paid $59.00 on their taxable income with a state income tax rate of 6%, determine the amount of their taxable income.

Income tax scenarios. Use the tax table information provided to compute the required values, making sure to show your calculation steps.

3. Carlos is thinking about getting a new job, and is reviewing his financial situation.

1. Carlos decided to review his NC State 2019 tax bill. He located a draft of his tax form and line item #17 from tax form D400 without tax credits. This showed that his NC state taxable income was $15,283. In 2019 he was filing as a single taxpayer. Determine the amount of 2019 NC tax due.

2. Carlos and Gabriela are considering getting married and Carlos wondered what their tax bill would be together. He texted her to look up her tax information and find her NC state taxable income. She replied that it was $23,414. Determine the amount of 2019 NC tax due if Carlos and Gabriela would have filed jointly as a married couple.

3. That answer in (b) seemed high to Carlos, so he calculated Gabriela’s individual tax assessment. Determine the amount of 2019 NC tax due if Gabriela filed as an individual.    

4. John is single, with a solid middle-class job. His taxable income for 2019 was $59, 512.

1. What was his tax assessment (federal and state) for 2019?

2. His employer gave him a raise of 3.6% for the cost of living adjustment in NC. Assuming that the tax brackets do not change. How does this salary increase affect his tax assessment for 2020? Show all steps needed to answer the question.

3. Write a meaningful sentence or two comparing the change in salary and the change in taxes.
4. John is single, with a solid middle-class job. His taxable income for 2019 was $59, 512.
5. What was his tax assessment (federal and state) for 2019?
6. His employer gave him a raise of 3.6% for the cost of living adjustment in NC. Assuming that the tax brackets do not change. How does this salary increase affect his tax assessment for 2020? Show all steps needed to answer the question.

You registered your logo under the Trade Marks Act in May 1998. You are still setting up your business and have yet to use it. In January 2020,you discover that another company has started using the exact same trademark.Is there anything you cando about it?If so, what? If not, why not?

This question under Quantitative methods === had no idea under what topics so I put under statistics and Probability
Pls do not handwritten for easy reading === ===
Question:-
1b) Describe a Linear Programming problem in 300 words so that people who have not had any exposure to Microsoft Excel Solver will understand what LP is(Note: Please do not write a textbook-definition-ish description. You have to explain LP in your own words so that someone like your grand-parents or nephew 12 yr old who have not heard about anything about operations research would understand)

3. Using this information, compute the Cash Cycle for this company.

Cash Cycle = Days Sales Outstanding + Days Inventory – Payables Period

Questions

• What is the length of this company’s cash cycle? (Show us your work!)
• What information does this give you about the company’s need for cash?
• Do you feel that this company must seek out short-term financing? Please explain your response.
• Discuss whether Martin and Samantha should be concerned about their company’s cash cycle of 73 days.

1. What need(s) does the family fill within your cultural context? You may write about your experiences in the United States or your experiences in any other country in which you have had experience. Describe interrelationships you see between family and one other institution in your culture of choice. Discuss any pressures toward social change exhibited in this institution.

2. Use matrix algebra to answer the following question: A division of an automobile manufacturing company handles two models: A and B. Model A requires 1 labour hour to paint and 1⁄2 labour hour to polish. Model B requires 1 labour hour for each process. During each hour that the division operates, there are 90 labour hours available for painting and 75 labour hours for polishing. The number of each model that this division must handle if all labour hours available are utilized happens to be

   1. a) 20 of A, 70 of B

   2. b) 50 of A, 40 of B

   3. c) 60 of A, 30 of B

   4. d) 45 of A, 45 of B

   5. e) 30 of A, 60 of B

   6. f) None of the above

be detail explain why .

In a scientific study that tries to relate the biodiversity of macro invertebrates to the acidity of the water near mines, samples of macro invertebrates were taken at the rate of a monthly sample for 12 months in two different locations. For the first locality, an average biodiversity index of 3.11 and a sample standard deviation of 0.771 were obtained. For the second locality the average biodiversity index was 2.04 with a standard deviation of 0.448.

a. Build and interpret a 90% confidence interval for the difference in the means of the two localities assuming that the populations conform approximately to a normal population and that the variances can be considered equal.

b. Assess whether the evidence supports the presumption of equal variances

c. Would it have been better to use a 95% range? Explain in detail

In a scientific study that tries to relate the biodiversity of macro invertebrates to the acidity of the water near mines, samples of macro invertebrates were taken at the rate of a monthly sample for 12 months in two different locations. For the first locality, an average biodiversity index of 3.11 and a sample standard deviation of 0.771 were obtained. For the second locality the average biodiversity index was 2.04 with a standard deviation of 0.448.

a). BUILD and INTERPRET a 90% confidence interval for the difference in the means of the two localities assuming that the populations conform approximately to a normal population and that the variances can be considered equal.

b). Assess whether the evidence supports the presumption of equal variances

c). Would it have been better to use a 95% range? Explain in detail

In a scientific study that attempts to relate the biodiversity of macro invertebrates to the acidity of the water near mines, samples of macro invertebrates were taken at the rate of a monthly sample for 12 months in two different locations. For the first locality, an average biodiversity index of 3.11 and a sample standard deviation of 0.771 were obtained. For the second locality the average biodiversity index was 2.04 with a standard deviation of 0.448.

a) BUILD and INTERPRET a 90% confidence interval for the difference in the means of the two localities assuming that the populations fit approximately a normal population and that the variances can be considered equal.

b) Evaluate whether the evidence supports the presumption of equal variances.

c) Would it have been better to use a 95% interval? Explain in detail.