1. Kenya Securicor is contemplating the purchase of an additional patrol car. Company analysists estimate the purchase cost of fully equipped car to be $18,000. They also have estimated an average operating cost of $0.40 per kilometer.
i) Determine the mathematical function which represents the total cost C of owning and operating the car in terms of the number of kilometers x it is driven.
(3marks)
ii) What are the projected total costs if the car is driven 50,000 kilometers during its lifetime? (2marks) iii)If it is driven 100,000 kilometers? (2marks)
2. A sum of money invested at compound interest amounts to $2,200 at the end of one year and to $2,662 at the end of three years. Find the principal and the rate of interest. (4marks)
3. How long will it to take for principal to double if money is worth 7% per annum compounded continuously/ give your answer to the nearest year. (5marks)
4. A machine costs $98,000 and its effective life is estimated to be 12 years. If scrap value of the machine is $3,000 only, what should be retained out of profits at each of the year to accumulate at compound interest at 5% per annum so that a new machine can be purchased at the same price after 12 years? (Given; log 1.05 = 0.0212 and log 1.797 = 0.2544). (6marks)
5. In a survey of Kimathi University College students, 64% of the students take Economics and 56% take Accounting. How many students take both subjects? (4marks)
6. Solve the following quadratic equations
i) X2 – 9x + 14 = 0
ii) 3×2 + 6x – 45 = 0 (4marks)
Question two
1. A firm has the capacity to produce three types of cakes X, Y and Z using ingredients A, B and C.
the recipe for each unit of cake is given as follows:
X – 20, 15 and 40 grams of A, B and C respectively
Y – 12, 36 and 16 grams of A, B and C respectively
Z – 30, 15 and 40 grams of A, B and C respectively
If 130, 225 and 200 units of A, B and C respectively must be used. Formulate a set of simultaneous equations and solve them such that they would indicate the number of units of each cake to produce in order to utilize completely the available ingredients. (10marks)
2. Calculate the future amount of annuity immediate of $2,000 per annum for 20 years, the rate of interest being 13.5% per annum. (6marks)
3. In the first month of production 1000 items were made. If the rise in monthly production is 5% per month, how many months are necessary to produce a total of 15,000 items?(4marks)
Question three
1. A machine is depreciated in such a way that the value of the machine at the end of any year is 90% of its value at the beginning of the year. The cost of the machine was $12,000 and it was sold eventually as waste metal for $200. Find the number of years during which the machine
was in use. (5marks)
2. Using relevant examples differentiate between the following terms as used in management mathematics:
i)Independent variable ii)Criterion variables iii)Discrete variables iv)Concomitant variables
v) Continuous variables (5marks)
3. The population of a country was 100 million in 1980. It has been growing since that time exponentially at a constant rate of four percent per year, p= f (t). What would be the projected
population of the country after twenty five years? (5marks)
4. Find the present value of an annuity of $800 payable at the end of each 6 months for five years, if money is worth 6% per annum converted semi-annually? (5marks)
Question four
1. Graph the following inequalities simultaneously and show the wanted region.
X + 2y = 12
2x + y = 10
X + y =8
Y = 1
X = 2 (8marks)
2. An investor wanted to invest in two bonds. Which is a better bond, 8% per annum compounded half-yearly or 7.5% per annum compounded continuously? (4marks)
3. Solve the equations y + 2x = 3 and x2+ y2 = 2 (5marks)
4. If y = g(u) = 2u3and u = h(x) = x2– 2x + 5, determine
a) g(h(x)) (1mark)
b) g(h(2)) (1mark)
c) g(h(-3)) (1mark)
Question five
1. Magnet Publishers Limited is planning to produce a new novel. The fixed costs are Sh. 320,000 and the variable costs are Sh. 312.50 per novel. The wholesale price will be Sh. 437.50 per book.
How many books must the publisher sell to break-even? (4marks)
2. Consumer Link researchers surveyed 5200 people on how the get news. They found out that 3400 read news papers for their news, 1800 listen to radio and 1500 watch the Television. 800 read the newspapers and listen to radio, 850 read news papers and watch television and 350 listen to radio and watch television. If 250 utilize none of the three media, determine the number that used utmost two sources of news. (7marks)
3. Differentiate between the following terms as used in management mathematics:-
i.Annuity and Perpetuity (2 Marks) ii.Geometric Progression and Arithmetic Progression (2 Marks)
4. The bookstore had a sale on records, books and T-shirts. A cashier observed the purchase of 38 people and found that:
16 bought records
15 bought books
19 bought T-shirts
5 bought books and records
7 bought books and T-shirts
6 bought records and T-shirts
3 bought all three
i) How many bought records and T-shirts, but not books (2marks) ii) How many bought records, but no books (1mark) iii) How many bought T-shirts but no books and no records (1mark) iv) How many bought none of the three (1mark)
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What are three controversies discussed in the Halter, Rolin-Kenny, & Dzurec (2013) article?
/in Uncategorized /by JosephControversies Associated With Changing Diagnostic Criteria In this discussion you will be evaluating contributions of psychological research in the applied context of the DSM-5. To begin, read the DSM-5 section entitled, “Conditions for Further Study” (Section III of the DSM-5) and the article titled “An Overview of the DSM-5: Changes,Controversy, and Implications for Psychiatric Nursing.”
Then, address the following points in your post:
What are three controversies discussed in the Halter, Rolin-Kenny, & Dzurec (2013) article? Give your opinions about these controversies. From your point view, are these legitimate concerns? Why or why not?
Name a disorder identified as requiring significantly more research and study from the DSM-5 section entitled, “Conditions for Further Study” (Section III of the DSM-5). Construct a research question that is pertinent to the disorder you selected.
Briefly outline a research method that could be used to investigate the disorder based on one of the research methods presented in your textbook. Guided Response: Review several of your classmates’ posts. Provide a substantive response to at least two of your peers. Are the research methods they selected appropriate for studying the disorders they chose? Support your opinions with scholarly information and reasoning. What alternative research design could be employed to study the disorders they discussed?
It is suggested that you return to the discussion forum before the end of the week to read and respond to the responses to your posts.
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Should be 250 – 300. Be sure to support your
/in Uncategorized /by JosephShould be 250 – 300. Be sure to support your comments with referencesIn mid-May, Attorney General Jeff Sessions tasked federal prosecutors with charging the most serious readily provable offense (Reinhard, 2017). Some say this order rolled back years of President Obama’s criminal justice policies that avoided charging nonviolent, less-serious drug offenders with long, mandatory-minimum sentences. For this week’s discussion, please describe how the criminal justice system seeks to control crime and maintain social order while preserving individual rights. How do you these tough on crime strategies impact the criminal justice system and the balance between public safety (social order) and civil rights?
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You fail to reach an informal settlement agreement with the area director
/in Uncategorized /by JosephUnit VI Assignment You fail to reach an informal settlement agreement with the area director. You file a Notice to Contest within the required 15-day period. Your case is assigned to an administrative law judge (ALJ). Prepare a document summarizing the case you will submit to the ALJ. The document should discuss the following at a minimum: which citations and penalties you would contest, the reasoning behind each contested citation and/or penalty, documents you would bring to the hearing, individuals you would use at the hearing, how the case before the ALJ differs from the informal conference, what information will be presented before the ALJ that was not presented in the informal conference, and what information you would request from OSHA as part of discovery. You must support your actions with reliable sources. Your grade will be based on your ability to present a case to your professor, serving as the ALJ, to reduce or vacate either the severity of some citations or the amount of some penalties. If you simply state that you accept the citations and penalties as written, you will receive a minimal score on the assignment. Your response must be a minimum of two pages in length, using at least one reference. All sources must be cited in the text and on the reference page, using APA style. Information about accessing the Blackboard Grading Rubric for this assignment is provided below
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Write a 350- to 700-word summary describing the privacy risks, security safeguards, and strategies for evaluating the effectiveness of the technology selected in the Week Two Technology Trends Proposal Part l assignment.
/in Uncategorized /by JosephResource: Technology Trends Proposal Part l
Select one of the technology trends identified in the Week Two Technology Trends Proposal Part l assignment and research the privacy risks, security safeguards, and strategies for evaluating the effectiveness of the technology selected.
Write a 350- to 700-word summary describing the privacy risks, security safeguards, and strategies for evaluating the effectiveness of the technology selected in the Week Two Technology Trends Proposal Part l assignment.
Cite 2 peer-reviewed, scholarly, or similar references to support your assignment.
Format your summary according to APA guidelines.
The post Resource: Technology Trends Proposal Part l
Select one of the technology trends appeared first on
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What are the projected total costs if the car is driven 50,000 kilometers during its lifetime?
/in Uncategorized /by Joseph1. Kenya Securicor is contemplating the purchase of an additional patrol car. Company analysists estimate the purchase cost of fully equipped car to be $18,000. They also have estimated an average operating cost of $0.40 per kilometer.
i) Determine the mathematical function which represents the total cost C of owning and operating the car in terms of the number of kilometers x it is driven.
(3marks)
ii) What are the projected total costs if the car is driven 50,000 kilometers during its lifetime? (2marks) iii)If it is driven 100,000 kilometers? (2marks)
2. A sum of money invested at compound interest amounts to $2,200 at the end of one year and to $2,662 at the end of three years. Find the principal and the rate of interest. (4marks)
3. How long will it to take for principal to double if money is worth 7% per annum compounded continuously/ give your answer to the nearest year. (5marks)
4. A machine costs $98,000 and its effective life is estimated to be 12 years. If scrap value of the machine is $3,000 only, what should be retained out of profits at each of the year to accumulate at compound interest at 5% per annum so that a new machine can be purchased at the same price after 12 years? (Given; log 1.05 = 0.0212 and log 1.797 = 0.2544). (6marks)
5. In a survey of Kimathi University College students, 64% of the students take Economics and 56% take Accounting. How many students take both subjects? (4marks)
6. Solve the following quadratic equations
i) X2 – 9x + 14 = 0
ii) 3×2 + 6x – 45 = 0 (4marks)
Question two
1. A firm has the capacity to produce three types of cakes X, Y and Z using ingredients A, B and C.
the recipe for each unit of cake is given as follows:
X – 20, 15 and 40 grams of A, B and C respectively
Y – 12, 36 and 16 grams of A, B and C respectively
Z – 30, 15 and 40 grams of A, B and C respectively
If 130, 225 and 200 units of A, B and C respectively must be used. Formulate a set of simultaneous equations and solve them such that they would indicate the number of units of each cake to produce in order to utilize completely the available ingredients. (10marks)
2. Calculate the future amount of annuity immediate of $2,000 per annum for 20 years, the rate of interest being 13.5% per annum. (6marks)
3. In the first month of production 1000 items were made. If the rise in monthly production is 5% per month, how many months are necessary to produce a total of 15,000 items?(4marks)
Question three
1. A machine is depreciated in such a way that the value of the machine at the end of any year is 90% of its value at the beginning of the year. The cost of the machine was $12,000 and it was sold eventually as waste metal for $200. Find the number of years during which the machine
was in use. (5marks)
2. Using relevant examples differentiate between the following terms as used in management mathematics:
i)Independent variable ii)Criterion variables iii)Discrete variables iv)Concomitant variables
v) Continuous variables (5marks)
3. The population of a country was 100 million in 1980. It has been growing since that time exponentially at a constant rate of four percent per year, p= f (t). What would be the projected
population of the country after twenty five years? (5marks)
4. Find the present value of an annuity of $800 payable at the end of each 6 months for five years, if money is worth 6% per annum converted semi-annually? (5marks)
Question four
1. Graph the following inequalities simultaneously and show the wanted region.
X + 2y = 12
2x + y = 10
X + y =8
Y = 1
X = 2 (8marks)
2. An investor wanted to invest in two bonds. Which is a better bond, 8% per annum compounded half-yearly or 7.5% per annum compounded continuously? (4marks)
3. Solve the equations y + 2x = 3 and x2+ y2 = 2 (5marks)
4. If y = g(u) = 2u3and u = h(x) = x2– 2x + 5, determine
a) g(h(x)) (1mark)
b) g(h(2)) (1mark)
c) g(h(-3)) (1mark)
Question five
1. Magnet Publishers Limited is planning to produce a new novel. The fixed costs are Sh. 320,000 and the variable costs are Sh. 312.50 per novel. The wholesale price will be Sh. 437.50 per book.
How many books must the publisher sell to break-even? (4marks)
2. Consumer Link researchers surveyed 5200 people on how the get news. They found out that 3400 read news papers for their news, 1800 listen to radio and 1500 watch the Television. 800 read the newspapers and listen to radio, 850 read news papers and watch television and 350 listen to radio and watch television. If 250 utilize none of the three media, determine the number that used utmost two sources of news. (7marks)
3. Differentiate between the following terms as used in management mathematics:-
i.Annuity and Perpetuity (2 Marks) ii.Geometric Progression and Arithmetic Progression (2 Marks)
4. The bookstore had a sale on records, books and T-shirts. A cashier observed the purchase of 38 people and found that:
16 bought records
15 bought books
19 bought T-shirts
5 bought books and records
7 bought books and T-shirts
6 bought records and T-shirts
3 bought all three
i) How many bought records and T-shirts, but not books (2marks) ii) How many bought records, but no books (1mark) iii) How many bought T-shirts but no books and no records (1mark) iv) How many bought none of the three (1mark)
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Identify and describe accounting methods available to businesses and apply cash and accrual methods to determine business income and expense deductions.
/in Uncategorized /by JosephYou will research a business tax issue from the ouline topics. You will write a research paper. The research paper must use American Psychological Association (APA) style. A guide to accounting research is available on uploading file. The paper should provide a thorough discussion of the primary and secondary sources related to my topic. The text of my paper should be 8 pages double-spaced; any charts tables and graphs are in addition to the 8 pages. You have to give me appendix with Charts tables and graphs at the end.
In below you will see my outline of the paper including the topic and sub topics as well. The next step is to select your sources. You should have a total of 5 sources and at least one of the sources must be a primary source such as a tax code section an IRS ruling or a court case. The other sources can be books articles web sites etc.
Please This paper is really important for me it has to be a high quality and quantity
Here some examples to start and include it based on my outline:
? Describe the general requirements for deducting business expenses and identify common business deductions.
?Apply the limitations on business deductions to distinguish between deductible and nondeductible business expenses.
? Identify and explain special business deductions specifically permitted under the tax laws.
? Explain the concept of an accounting period and describe accounting periods available to businesses.
?Identify and describe accounting methods available to businesses and apply cash and accrual methods to determine business income and expense deductions.
Outline
Business Income Deductions and Accounting Methods
Business Gross Income and Business Deductions
Ordinary and Necessary Limitations on Business Deductions
Domestic Production Activities Deduction with Specific Business Deductions and Specific Business Deductions
Accounting Periods
Accounting Methods
Financial and Tax Accounting Methods including overall Accounting Method and Cash Method
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develop a curriculum guide for spoken language
/in Uncategorized /by Josephyourself or other colleagues. You may format the assignment in a chart form or any other way you feel would be the easiest to understand and use. Please be sure to use headings and titles so that the information is clear and easy to find.
Assignment: A curriculum guide is a how-to guide of practical ideas for teaching that is written in a convenient format as teaching notes for use in the future by either you or your colleagues. The guide includes:
Steps for achieving specific objectives Principles governing behavior, or descriptions of effective teaching strategies, interventions, and accommodations that special educators can use in their classrooms. Title of the strategy or principle Explanation of its educational purpose (goal or objective) Task analysis of teacher and student activities Student assessment procedures
In 1,250-1,500-words, develop a curriculum guide for spoken language and word recognition that addresses the following:
Grading criteria that accurately, thoroughly, and clearly guides the reader in the implementation and application of the strategies you have designed. This should be usable by any of the teachers in the school. Be in a format that provides you and your professional colleagues with practical information necessary for effective teaching of students with learning disabilities. Include a minimum of three references.
Prepare this assignment according to the APA guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required.
This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.
You are required to submit this assignment to Turnitin.
Reading Strategies for Students With Mild Disabilities
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Examine the main events in the history of health insurance from the mid-twentieth century to the present. Explain how these events led up to the evolution of managed care organizations.
/in Uncategorized /by JosephThe History of Health Insurance and Managed Care
Health insurance began in the early part of the twentieth century as a means to protect an organization’s assets, either its financial assets or its manpower. Since the early days, health insurance evolved into a system of managed care in order to control issues such as overutilization, skyrocketing costs, limited restrictions, and low-quality care.
Using the library or the Internet, search for articles on health insurance and managed care. Based on your research, summarize your findings and answer the following questions:
Based on your understanding, create a 4- to 5-page Microsoft Word document that includes the answers to the above questions.
Support your responses with examples.
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How can dimensions of diversity impact a business?
/in Uncategorized /by JosephQuestion
HRMT 101 Forum
Overview: Discrimination is behavior based on prejudiced attitudes. Mitchel Gold and Bob Williams encountered obstacles and challenges as gay men in business. They began their own company with a focus on embracing diversity in the workplace.
Suggested Use:This video focuses on diversity issues in business and possible consequences and solutions.
Discussion Questions:
How can dimensions of diversity impact a business?
How does diversity coordinate with “doing what is right”?
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Evaluate the co-, quadrature, cross-amplitude, phase and coherency spectra.
/in Uncategorized /by JosephAssignment + Section9.3.4(which will be useful in some question)
8.2 Define the cross-correlation function of a bivariate stationary process and show that for all
Two first-order moving average processes
are formed from a purely random process , which has mean zero and variance . Find the cross-covariance and cross-correlation functions of the bivariate process and hence show that the cross-spectrum is given by
Evaluate the co-, quadrature, cross-amplitude, phase and coherency spectra.
9.2 Find the impulse response function, the step response function, the frequency response function, the gain and the phase shift for the following linear systems (or filters):
(a)
(b)
(c)
(d)
where in each case t is integer valued. Plot the gain and phase shift for filters (a) and (c). Which of the filters are low-pass and which high-pass?
If filters (a) and (b) are joined in series, find the frequency response function of the combined filter.
9.4 Consider the AR(1) process, given by , where denotes a purely random process with zero mean and constant variance and |a|<1 for stationarity. If we regard the model equation as a linear system with denoting the input and denot ing the output, find the frequency response function of the system. Hence find the power spectrum of , knowing the spectrum of the ‘output’ is constant—see Section 9.3.4 if you get stuck.
Now consider the one-parameter second-order AR process
where the lagged value of X is two steps before. Show that the process is second-order stationary if |a|<1 (as for the AR(1) process), and find theautocovariance and autocorrelation functions.
Show that the power spectral density function of the process is given by
using two different methods: (a) by transforming the autocovariance function; (b) by using the approach of Section 9.3.4.
Suppose now that {} is any stationary process with power spectrum . when Then is the power spectrum of {} as defined by the above AR(1) model?
9.6 Show that the power spectral density function of the ARMA(1, 1) process
is given by for, using the approach of Section 9.3.4. It may help to let (This power spectrum may be shown to be equivalent to the normalized spectrum in Exercise 6.7 after some algebra.) More generally, for the MA process show that the frequency response function of the filteris , so that the spectrum of is given by for . Hence show that the spectrum of the general ARMA process is given by . Check this result on the above ARMA(1, 1) process.
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