Focus on Application: Week Two
Student’s Name
MAT/205
Due Date
Instructor’s Name

For the example of a ball being thrown up into the sky and then landing on the ground, we can model a quadratic equation to show the path of the projectile at various points in time (projectile motion). That is to say, each point plotted on the graph (parabola) will be a measurement to this effect: Suppose a ball is thrown into the sky at a velocity of 64ft/sec from an initial height of 100ft. We would set the quadratic equation as (s)0=-gt^2+v0t+h0 and substitue values for gravity, velocity, and initial height to equal 0=-16t^2+64t+100. If we want to find out after how many seconds the ball will land, we can leave the equation set to zero and solve for t, using the quadratic formula. This will give us a solutions for t = SQRT(41)/2 (approximately 3.2 seconds) or t = -SQRT(41)/2 (approximately -3.2 seconds). Because we are only interested in positive values and negative values would not make any sense in this application, the ball will land after 3.2 seconds have passed, meaning that t = +3.2 seconds when the postion is at 0 or ground level; Position (3.2,0) on the Cartesian plane.

Also, knowing how to quickly calculate the vertex of such models as these comes in handy. It can give us the projectile’s (ball’s) maximum height value in this equation before it begins to descend. This is simply done by finding the value of h for the x-coordinate of the parabola, and then substituting that value into the equation and solving for k, whereas h is equal to –b/2a in the standard ax^2+bx+c quadratic equation. Therefore, in our case, -64/2(-16)=2 is equal to the x-coordinate of the parabola’s maximum value or vertex. Substituting 2 into -16t^2+64t+100 will give us -16(2)^2+64(2)+100=164, which is the vertex’s y-coordinate. Combining them gives the maximum value of the ball’s flight; the height at 164 feet and the time at 2 seconds, which combine at the vertex point (2,164) on the...

...Week Two Exercise Assignment
Revenue and Expenses
1. Recognition of concepts. Jim Armstrong operates a small company that books entertainers for theaters, parties, conventions, and so forth. The company’s fiscal year ends on June 30. Consider the following items and classify each as either (1) prepaid expense, (2) unearned revenue, (3) accrued expense, (4) accrued revenue, or (5) none of the foregoing.
a. Interest owed on the company's bank loan, to be paid in early July
Prepaid expense
b. Professional fees earned but not billed as of June 30
Accrued revenue
c. Office supplies on hand at year-end
Prepaid expense
d. An advance payment from a client for a performance next month at a convention
Unearned revenue
e. The payment in part (d) from the client's point of view
Prepaid expense
f. Amounts paid on June 30 for a 1-year insurance policy
Prepaid expense
g. The bank loan payable in part (a)
None of the foregoing
h. Repairs to the firm's copy machine, incurred and paid in June
None of the foregoing
2. Understanding the closing process. Examine the following list of accounts:
Note Payable | Accumulated Depreciation: Building |
Alex Kenzy, Drawing | Accounts Payable |
Product Revenue | Cash |
Accounts Receivable | Supplies Expense |
Utility Expense |
Which of the preceding accounts
a. Appear on a post-closing trial balance?
Note Payable, Accounts Payable, Cash, Accounts Receivable and...

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MAT 540 Week2 Quiz
Question 1
If variable costs increase, but price and fixed costs are held constant, the break even point will decrease.
Question 2
Parameters are known, constant values that are usually coefficients of variables in equations.
Question 3
Probabilistic techniques assume that no uncertainty exists in model parameters.
Question 4
In general, an increase in price increases the break even point if all costs are held constant.
Question 5
P(A | B) is the probability of event A, if we already know that event B has occurred.
Question 6
A continuous random variable may assume only integer values within a given interval.
Question 7
The events in an experiment are mutually exclusive if only one can occur at a time.
Question 8
A bed and breakfast breaks even every month if they book 30 rooms over the course of a month. Their fixed cost is $4200 per month and the revenue they receive from each booked room is $180. What their variable cost per occupied room?
Question 9
The indicator that results in total revenues being equal to total cost is called the
Question 10
If the price increases but fixed and variable costs do not change, the break even point
Question 11
A university is planning a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. If...

...119. Explain how to solve an exponential equation when both sides can be written as a power of the same base.
When an exponential equation has both sides of the equation as the same base one needs to rewrite the equation in the form of bM=bN. For instance, 24x-3=8. To make this the same base we need to make 8 a base of two by writing it as 2^3. Then we have 24x-3=23. Then we get rid of the base and get 4x-3=3. Finally we solve for x.
4x-3=3
4x=6
x=23
120. Explain how to solve an exponential equation when both sides cannot be written as a power of the same base. Use 3x = 140 in your explanation.
To solve this equation one needs to use a natural logarithm or ln.
First take the ln of both sides, ln 3x= ln 140
Then using bx= x ln b, move the variable to the front, x ln 3 = ln 140
Solve for x, x= ln3ln140= 1.0986122887/4.9416424226 = 0.22231723680404.
121. Explain the differences between solving log31x - 12 = 4 and log31x - 12 = log3 4.
When solving log31x - 12 = 4 one needs to write it in the form of bc=M. To do this we do the following; logbM=c means bc=M.
1) log31x - 12 = 4
2) 34=x-12
3) 81=x-12
4) x=93
In the case of log31x - 12 = log3 4, since the log is the same on both sides of the equation the will be omitted. The new equation would be; 1x-12=4. Then solve as normal. Add 12 to 4 to get 16, leaving 1x, which is just x and you have x=16.
122. In many states, a 17% risk of a car accident with a blood alcohol...

...foregoing
h Repairs to the firm's copy machine, incurred and paid in June
- none of the foregoing
2. Understanding the closing process. Examine the following list of accounts:
Note Payable
Accumulated Depreciation: Building
Alex Kenzy, Drawing
Accounts Payable
Product Revenue
Cash
Accounts Receivable
Supplies Expense
Utility Expense
Which of the preceding accounts
a. appear on a post-closing trial balance?
Interest Payable Accumulated Depreciation: Equipment Accounts Payable Cash Accounts Receivable
b. are commonly known as temporary, or nominal, accounts?
Service Revenue Supplies Expense Interest Expense
c. generate a debit to Income Summary in the closing process?
Service revenue
d. are closed to the capital account in the closing process?
e. Alex Kenzy Drawing
Analyze the five preceding cases individually and determine the following:
a. The type of adjusting entry needed at year-end (Use the following codes: A, adjustment of a prepaid expense; B, adjustment of an unearned revenue; C, adjustment to record an accrued expense; or D, adjustment to record an accrued revenue.)
b. The year-end journal entry to adjust the accounts
c. The income statement impact of each adjustment (e.g., increases total revenues by $500)
- 1.
a. B
b. Unearned Service Revenue Dr 500 Services Revenue Cr500
c. Increase to total revenues by $500
- 2.
a. D
b. Account receivable Dr 2500 Services Revenues Cr 2500...

...Associate Program Material
Appendix A
Key Computer Terms CheckPoint
Definitions and Usage of Information Technology Infrastructure Components and Technologies
The following terms are examples of information technology infrastructure components and technologies used in business. Research definitions using the Internet. You will write a definition of each term and provide at least two examples of the component or technology. Provide citations and references for all resources.
Term
Definition
References
Examples
(At least two)
Hardware
Physical parts of a computer system
http://www.techterms.com/definition/hardware
Monitor and mouse
Software
Computer software is a general term that describes computer programs.
http://www.techterms.com/definition/software
Quicken Loans program and Microsoft office
Data management technology
The skills and equipment used to organize, secure, store and retrieve information
Read more: http://www.businessdictionary.com/definition/data-management-technology.html#ixzz2rAwMqNOi
Microsoft spreadsheet and a antivirus software
Networking
Is when you have more than one computer linked together or on a network. Sharing information.
http://www.techterms.com/definition/network
The world wide web (www) and the network that the gaming world uses (xbox 360, or Playstation)
Telecommunications
Is the transmission of signals over a long distance or any distance at all....

...CRT/205: Mapping Arguments
Children in the Backseat Are the Worst Distraction for Driver
In this the issue considered is the way of driving with the children in the backseat. Therefore this is a difficult one as the roads will have more traffic and driving is not an easier one. If it is done with children then it will be more difficult as they will be playing inside car and will be a hard task to control them. Then they have various distractions like that of visual distractions, manual distractions and cognitive distractions. These will be very hard for drivers as they need to be very careful in it while driving with a child.
Thus the stated premise is the way of driving without distractions and unstated premise is dealing with children. Then it is considered as a hard one where there is a child in the backseat and will make it harder for drivers. Therefore the drivers need to have good fours on all these distractions as it will make the driver to make an accident. The accident occurs if the drivers fall on any one of the distraction. Then the accident must be avoided by the drivers by carefully dealing with these three distractions. Thus the driver need not make any kind of mistake like that of texting while driving a car. This must be taken as a careful one while driving with children as it is to be considered while driving.
Therefore the distractions are related to eyes, hand and mind respectively. This must be kept in control while driving without...

...This week concepts were of function problems which may include exponentials and logarithms within the functions. With these types of function we can find out information for breaking-even and profit analysis, compound interest, continuous compound interest and doubling time for an investment. Out of these concepts from this week lesson plan, currently understanding and using doubling time for an investment would be the most important.
In this world we live in today, the economy has taken a huge down turn due to major banks making their own share of poor investments. With this down turn in the global economy, many people had their Saving Accounts, 401Ks, and Pensions nearly wiped out. All these may be different types of investments we use to help pay for retirement, but they are essential to being able to retire at an early enough age. Otherwise a person would only have to look forward to working during their own golden years instead of taking it easy.
With the concept of doubling time for an investment, we can with some calculation figure out how long it would take for a certain sum of money, known as the principal, would take to double its value in a certain given time period at a certain given fix interest rate all at a certain interval. This is done with the equation A=P( 1+r/m)^mt. With this equation, to figure out t which is time for the principal to double, we can sub in 2P for A since the other known value are r the interest...

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Ashford MAT 222 WEEK 1 TO 5
Week 1, Assignment, Solving Proportions
Read the following instructions in order to complete this assignment:
1. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population.
2. Complete problem 10 on page 444 of Elementary and Intermediate Algebra. Show all steps in solving the problem and explain what you are doing as you go along.
3. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:
Your solution to the above problems, making sure to include all mathematical work, and an explanation for each step
A discussion of the following: What form of an equation do you end up with in problem 10? What do you notice about the coefficient of x compared to the original problem? Do you think there might be another way to solve this equation for y than with the proportion method? How would you do it?
An incorporation of the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Extraneous
Proportion
Cross...