The position of a particle moving along the x axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds.
For the following, let the numerical values of a and b be 3.7 and 1.0 respectively.
a) At what time does the particle reach its maximum positive x position?
b) What distance does the particle cover in the first 4.0s?
c) What is its displacement from t=0s to t-4.0s?
d) What is its velocity at t = 1.0?
What is its velocity at t = 2.0?
What is its velocity at t = 3.0?
What is its velocity at t = 4.0 s?
e) What is its acceleration at t = 1.0 s?
m/s2
What is its acceleration at t = 2.0 s?
m/s2
What is its acceleration at t = 3.0 s?
m/s2
What is its acceleration at t = 4.0 s?
m/s2
In: Physics
Question 1: Project Evaluation Part A For
unconventional cash flows, there will often be multiple IRRs. Under
those circumstances, we cannot use IRR for evaluation purposes. i)
Construct a hypothetical unconventional cash flow that yields two
possible IRRs. Present your cash flows in a table and plot its NPV
profile. (1.0 marks)
ii) Construct a hypothetical unconventional cash flow that yields
three possible IRRs. Present your cash flows in a table and plot
its NPV profile. Furthermore, assess which of your two hypothetical
projects (i or ii) you would rather invest in. (1.0 marks) Document
your workings in the Excel Spreadsheet. (1.0 marks)
iii) Briefly explain how you would construct an unconventional cash
flow in order to have k possible IRRs, where k > 1. Next,
comment on the likelihood of such a cash flow occurring in real
life, when k is large.
In: Finance
A chemist studied the concentration of a solution (Y) over time
(X). Fifteen identical solutions were prepared. The 15 solutions
were randomly divided into five sets of three, and the five sets
were measured, respectively, after 1, 3, 5, 7, and 9 hours. The
results follow:
0.07 9.0
0.09 9.0
0.08 9.0
0.16 7.0
0.17 7.0
0.21 7.0
0.49 5.0
0.58 5.0
0.53 5.0
1.22 3.0
1.15 3.0
1.07 3.0
2.84 1.0
2.57 1.0
3.10 1.0
1.) Fit a linear regression function.
2.) Perform the F test to determine whether or not there is lack of
fit of a linear regression function; use alpha =.025. State the
alternatives, decision rule, and conclusion.
3.) Does the test in part (2) indicate what regression function is
appropriate when in leads to the conclusion that lack of fit of a
linear regression function exists? Explain.
In: Statistics and Probability
The following information relates to Stevens Company for
June 20XX:
Direct materials inventory, beginning balance $ 7,000
Direct materials inventory, ending balance 3,000
Work-in –process inventory, beginning balance 5,000
Work-in-process inventory, ending balance 8,000
Finished goods inventory, beginning balance 10,000
Finished goods inventory, ending balance 12,000
Direct Labor 48,000
Direct materials purchases 26,000
Indirect labor 6,000
Depreciation: factory equipment 11,000
Depreciation: office equipment 4,000
Insurance, factory 3,000
Advertising expense 8,000
Repair and maintenance, factory 5,000
Question 1: (1.0 point) Required: Calculate the total factory
overhead costs. Omit $ signs.
Question 2: (1.0 point) Required: Calculate the cost of goods
manufactured. Omit $ signs.
Question 3: (1.0 point) Required: Calculate the cost of goods sold.
Omit $ signs.
In: Accounting
Developing an Equation from Average Costs
Paradise Pub is a high-end dog hotel located in New York. Assume that in March, when dog-days occupancy was at an annual low of 500 days, the average cost per dog-day was $26. In July, when dog-days were at a capacity level of 4,500, the average cost per dog-day was $10.
(a) Develop an equation for monthly operating costs. (Let X = dog-days per month)
Total cost = $Answer
+ $Answer
* X
(b) Determine the average cost per dog-day at an annual volume of 28,000 dog-days. (Round to the nearest cent.)
$Answer
High-Low Cost Estimation
Assume the local YRC Worldwilde delivery service hub has the following information available about fleet miles and operating costs:
| Year | Miles | Operating Costs |
|---|---|---|
| 2017 | 556,000 | $175,600 |
| 2018 | 684,000 | 214,000 |
Use the high-low method to develop a cost-estimating equation for total annual operating costs. (Let X = annual fleet miles.)
Total annual costs = Answer
+ Answer * X
Automatic versus Manual Processing
Image Solutions operates a printing service for customers with digital cameras. The current service, which requires employees to download photos from customer cameras, has monthly operating costs of $7,000 plus $0.30 per photo printed. Management is evaluating the desirability of acquiring a machine that will allow customers to download and make prints without employee assistance. If the machine is acquired, the monthly fixed costs will increase to $13,000 and the variable costs of printing a photo will decline to $0.05 per photo.
(a) Determine the total costs of printing 20,000 and 50,000 photos per month.
| Units | Current Process | Proposed Process |
|---|---|---|
| 20,000 | $Answer | $Answer |
| 50,000 | $Answer | $Answer |
(b) Determine the monthly volume at which the proposed process becomes preferable to the current process.
Answer units
Unit- and Batch-Level Cost Drivers
KC, a fast-food restaurant, serves fried chicken, fried fish, and french fries. The managers have estimated the costs of a batch of fried chicken for KC's all-you-can-eat Friday Fried Fiesta. Each batch must be 50 pieces. The chicken is precut by the chain headquarters and sent to the stores in 10-piece bags. Each bag costs $4. Preparing a batch of 50 pieces of chicken with KC's special coating takes one employee two hours. The current wage rate is $9 per hour. Another cost driver is the cost of putting fresh oil into the fryers. New oil, costing $6.50, is used for each batch.
Round answers to two decimal places, when applicable.
(a) Determine the cost of preparing one batch of 50 pieces.
$Answer
(b) If management projects that it will sell 150pieces of fried chicken, determine the total batch and unit costs.
Batch cost $Answer
Unit cost $Answer
(c) If management estimates the sales to be 350 pieces, determine the total costs.
$Answer
(d) How much will the batch costs increase if the government raises the minimum wage to $10 per hour?
$Answer
(e) If management decided to increase the number of pieces in a batch to 100, determine the cost of preparing 350 pieces. Assume that the batch would take twice as long to prepare, and management wants to replace the oil after 100 pieces are cooked.
$Answer
In: Accounting
Construct the confidence interval for the population mean μ.
c=0.98 , (overbar above x) x=7.3 , σ=0.3 , and n=50
A 98 % confidence interval for μ IS (____,_____)
(Round to two decimal places as needed.)
In: Statistics and Probability
Chloropropionic acid, ClCH2CH2COOH is a weak monoprotic acid with Ka= 7.94 x 10-5 M. Calculate the pH at the equivalence point in a titration 24.1 mL of 1.33 M chloropropionic acid with 0.3 M KOH.
In: Chemistry
Write the matlab command to sample the following signals at nyquist frequency
1.x(t)=3cos(2*pi(400)t +0.3*pi)
2.x(t)=cos^2(300*pi*t)
In: Electrical Engineering
Calculate the standard deviation σ of X for the probability distribution. (Round your answer to two decimal places.) σ = x 1 2 3 4 P(X = x) 0.2 0.3 0.4 0.1
In: Statistics and Probability
Convert: a. Thermal conductivity value of 0.3 Btu/(h ft oF) to W/(m oC).
b. Surface heat transfer coefficient value of 105 Btu/(h ft^2 oF) to W/(m^2 oC)
In: Chemistry