Focus on Application: Week Two
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MAT/205
Due Date
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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...

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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...

...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....

...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...

...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....

...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...

...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...

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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...