The left-field wall at a baseball park is 320 feet down the third-base line from home plate; the wall itself is 38 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat, 3 feet off the ground, at an angle of 45degrees. Use gequals32 ft/sec squared as the acceleration due to gravity and ignore any air resistance. Complete parts (a) through (d). (a) Find parametric equations that model the position of the ball as a function of time. (b) What is the maximum height of the ball if it leaves the bat with a speed of 120 miles per hour? Give your answer in feet. (c) What is the ball's horizontal distance from home plate at its maximum height? Give your answer in feet. (d) If the ball is hit straight down the third-base line, will it clear the wall? If it does, by how many feet does it clear the wall?
In: Physics
| Waterways has two major public-park projects to provide with
comprehensive irrigation in one of its service locations this
month. Job J57 and Job K52 involve 15 acres of landscaped terrain,
which will require special-order, sprinkler heads to meet the
specifications of the project. Using a job cost system to produce
these parts, the following events occurred during December. Raw materials were requisitioned from the company’s inventory on December 2 for $5,058; on December 8 for $1,056; and on December 14 for $3,459. In each instance, two-thirds (2/3) of these materials were for J57 and the rest for K52. Six time tickets were turned in for these two projects for a total amount of 18 hours of work. All the workers were paid $17.5 per hour. The time tickets were dated December 3, December 9, and December 15. On each of those days, 6 labor hours were spent on these jobs, two-thirds (2/3) for J57 and the rest for K52. The predetermined overhead rate is based on machine hours. The expected machine hour use for the year is 2,110 hours, and the anticipated overhead costs are $844,000 for the year. The machines were used by workers on projects K52 and J57 on December 3, 9, and 15. Six machine hours were used for project K52 (2 each day), and 8.5 machine hours were used for project J57 (2.5 the first day and 3 each of the other days). Both of these special orders were completed on December 15, producing 200 sprinkler heads for J57 and 100 sprinkler heads for K52. Additional job order activities during this period included:
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Set up the job cost sheets for Job No. J57 and Job No. K52.
Determine the total cost for each manufacturing special order for
these jobs. (Round unit costs to 2 decimal places, e.g.
12.25.)
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Journalize the activities from these job cost sheets in the
general journal. Also, journalize the other costs that occurred
during this period. (Credit account titles are
automatically indented when amount is entered. Do not indent
manually. Record journal entries in the order presented in the
problem. Round answers to 0 decimal places, e.g.
5,275.)
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Assuming that Manufacturing Overhead has a debit balance of
$3,600, determine whether overhead has been under/over applied and
make the adjusting entry. (Credit account titles are
automatically indented when amount is entered. Do not indent
manually.)
|
In: Accounting
I often see many more women at the park exercising than I do men. Due to my observations, I believe that women exercise more often than men. In order to test my hypothesis, I asked 10 random men and 10 random women how many times they exercise a week. The men's answers were: 6, 2, 3, 1, 4, 3, 2, 7, 4, 2, and the women's were: 5, 4, 2, 4, 7, 6, 5, 6, 4, 3. Is there significant evidence to conclude that the average number of days exercised in a week for women is higher than that of men? Please calculate at a 95% Confidence Interval.
In: Statistics and Probability
|
|
Set up the job cost sheets for Job No. J57 and Job No. K52.
Determine the total cost for each manufacturing special order for
these jobs. (Round unit costs to 2 decimal places, e.g.
12.25.)
|
In: Accounting
You visit a national park with your friend one weekend. You encounter an old railroad tunnel which is very dark and you are not sure if the tunnel is blocked on the other end. You happen to have a frequency generator app on your cell phone frequency. You decide that to generate resonances in the tunnel with your app. You hear successive resonances at 55Hz, 57.5 Hz, 60Hz, 62.5 Hz …etc. (I) Can you use this information alone to determine if the tunnel opened or closed at the other end? (II) What is the length of the tunnel? (III) What is the maximum number of resonances you can produce in this tunnel between 50 Hz and 100 Hz? Use 343.0 m/s for the speed of sound in air. (
In: Physics
|
|
Journalize the activities from these job cost sheets in the general journal. Also, journalize the other costs that occurred during this period. (Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. Round answers to 0 decimal places, e.g. 5,275.)
|
Date |
Account Titles and Explanation |
Debit |
Credit |
Assuming that Manufacturing Overhead has a debit balance of
$3,600, determine whether overhead has been under/over applied and
make the adjusting entry. (Credit account titles are
automatically indented when amount is entered. Do not indent
manually.)
In: Accounting
41-Quay, the owner of RV Park, trusts Sara to manage the resort’s daily cash flow. One night, without Quay’s knowledge or consent, Sara takes and keeps $1,000 from the receipts. This is most likely
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42-Olinda, an employee of People’s Bank, deposits into her account checks entrusted to the bank through its ATM system by customers to deposit into their accounts. This is
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43-Franny is charged with a crime. Almost all federal courts and some state courts would not hold Franny liable if, at the time of the offense, as a result of a mental disease or defect, she lacked substantial capacity to obey the law and to appreciate
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44-Quint, an employee of Reservations Inc. pays Sienna, an employee of Reservations’ competitor Travel Inc., for a list of Travel’s clients. This is most likely
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45-Lloyd is accused of a crime. Evidence of his allegedly criminal activities can be excluded from a trial
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In: Accounting
Park Company reported the following in the statement of shareholders’ equity at 1/1/18:
Common stock, $5 par value, authorized 200,000 shares,
issued 100,000 $ 500,000
Additional paid-in capital 1,500,000
Retained earnings 516,000
$2,516,000
Less: treasury stock, at cost, 5,000 shares (40,000)
Total shareholders’ equity $2,476,000
The following events occurred in 2018:
3/1 1,000 shares of treasury stock were sold for $10,000
6/15 A 30% stock dividend was declared when the market value of the stock was $11. The shares will be distributed on 7/31 to holders of record on 7/1.
9/9 9,000 of previously unissued common stock sold for $12 per share.
10/1 A 2-for-1 stock split resulted in the common stock’s par value being halved.
12/15 A cash dividend of $.50 per share was declared.
12/31 Net income for 2018 was $473,500.
Required:
Prepare the journal entries required for the 2018 events affecting equity.
Prepare the equity section of the balance sheet at 12/31/18.
Show all formulas explaining how you derived to your answer
In: Accounting
Sun City Limited commences construction of a multi-purpose water park on 1 July 2014 for Pretoria Limited. Sun City Limited signs a fixed-price contract for total revenues of $50 million. The project is expected to be completed by the end of 2017 and Pretoria Limited controls the asset throughout the period of construction. The expected cost as at the commencement of construction is $38 million. The estimated costs of a construction project might change throughout the project—in this example, they do change. The following data relates to the project (the financial years end on 30 June):
|
2015 ($m) |
2016 ($m) |
2017($m) |
|
|---|---|---|---|
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Costs for the year |
10 |
18 |
12 |
|
Costs incurred to date |
10 |
28 |
40 |
|
Estimated costs to complete |
28 |
12 |
– |
|
Progress billings during the year |
12 |
20 |
18 |
|
Cash collected during the year |
11 |
19 |
20 |
Required
(a) Using the above data, compute the gross profit to be recognised for each of the three years, assuming that the outcome of the contract can be reliably estimated.
(b) Prepare the journal entries for the 2015 financial year using the percentage-of-completion method.
(c) Prepare the journal entries for the 2015 financial year, assuming the stage of completion cannot be reliably assessed.
In: Accounting
Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it is a beautiful drive in summer months, in winter the road is closed because of severe weather conditions. Sustained gale-force winds (over 32 miles per hour and often over 90 miles per hour) occur on the average of 0.7 times every 56 hours at a Trail Ridge Road weather station.
(a) Let r = frequency with which gale-force winds occur in a given time interval. Explain why the Poisson probability distribution would be a good choice for the random variable r.
1) Frequency of gale-force winds is a common occurrence. It is reasonable to assume the events are independent.
2) Frequency of gale-force winds is a rare occurrence. It is reasonable to assume the events are dependent.
3) Frequency of gale-force winds is a common occurrence. It is reasonable to assume the events are dependent.
4) Frequency of gale-force winds is a rare occurrence. It is reasonable to assume the events are independent.
(b) For an interval of 106 hours, what are the probabilities that
r = 2, 3, and 4? What is the probability that r
< 2? (Use 2 decimal places for λ. Use 4 decimal places
for your answers.)
| P(2) | |
| P(3) | |
| P(4) | |
| P(r < 2) |
(c) For an interval of 173 hours, what are the probabilities that
r = 3, 4, and 5? What is the probability that r
< 3? (Use 2 decimal places for λ. Use 4 decimal places
for your answers.)
| P(3) | |
| P(4) | |
| P(5) | |
| P(r < 3) |
In: Statistics and Probability