sami is planning on buying a car after five years. the current price of the car is 50,000 dollars and inflation rate is 3 percent. sami currently has 11,000 dollars in a bank account that pays an annual interest rate of 8 percent, compounded semi-annually. he wants to save for the balance by making semi annual payments in the account, at the end of each period. 1.compute the amount of the payments
End of year two, sami withdrew 3200 dollars, and he deposited 2100 dollars end of year three. compute the last two payments.
In: Finance
(the solution for this question is not available, please answer complete)
Second, the researcher wishes to use graphical descriptive methods to present summaries of the data on each of the two variables: hours worked per week and yearly income, as stored in file HOURSWORKED.xls. a) The number of observations (n) is 65 individuals. The researcher suggests using 7 class intervals to construct a histogram for each variable. Explain how the researcher would have decided on the number of class intervals (K) as 7. b) The researcher suggests using class intervals as 10 < X ≤ 15, 15 < X ≤ 20, …, 40 < X ≤ 45 for the hours per week variable and class intervals 40 < X ≤ 45, 45 < X ≤ 50, ..., 70 < X ≤ 75 for the yearly income variable. Explain how the researcher would have decided the width of the above class intervals (or class width). c) Draw and display a histogram for each of the two variables using appropriate BIN values from part (b) and comment on the shape of the two distributions.
|
Hours Per Week |
Yearly Income ('000's) |
|
18 |
43.8 |
|
13 |
44.5 |
|
18 |
44.8 |
|
25.5 |
46.0 |
|
11.5 |
41.2 |
|
18 |
43.3 |
|
16 |
43.6 |
|
27 |
46.2 |
|
27.5 |
46.8 |
|
30.5 |
48.2 |
|
24.5 |
49.3 |
|
32.5 |
53.8 |
|
25 |
53.9 |
|
23.5 |
54.2 |
|
30.5 |
50.5 |
|
27.5 |
51.2 |
|
28 |
51.5 |
|
26 |
52.6 |
|
25.5 |
52.8 |
|
26.5 |
52.9 |
|
33 |
49.5 |
|
15 |
49.8 |
|
27.5 |
50.3 |
|
36 |
54.3 |
|
27 |
55.1 |
|
34.5 |
55.3 |
|
39 |
61.7 |
|
37 |
62.3 |
|
31.5 |
63.4 |
|
37 |
63.7 |
|
24.5 |
55.5 |
|
28 |
55.6 |
|
19 |
55.7 |
|
38.5 |
58.2 |
|
37.5 |
58.3 |
|
18.5 |
58.4 |
|
32 |
59.2 |
|
35 |
59.3 |
|
36 |
59.4 |
|
39 |
60.5 |
|
24.5 |
56.7 |
|
26 |
57.8 |
|
38 |
63.8 |
|
44.5 |
64.2 |
|
34.5 |
55.8 |
|
34.5 |
56.2 |
|
40 |
64.3 |
|
41.5 |
64.5 |
|
34.5 |
64.7 |
|
42.3 |
66.1 |
|
34.5 |
72.3 |
|
28 |
73.2 |
|
38 |
74.2 |
|
31.5 |
68.5 |
|
36 |
69.7 |
|
37.5 |
71.2 |
|
22 |
66.3 |
|
33.5 |
66.5 |
|
37 |
66.7 |
|
43.5 |
74.8 |
|
20 |
62.0 |
|
35 |
57.3 |
|
24 |
55.3 |
|
20 |
56.1 |
|
41 |
61.5 |
In: Statistics and Probability
There are two Cournot competitors, A & B. Each has total cost of 12x, where x is a firm’s output,
and demand is X = 400 – P, where P is market price. What will market price be in equilibrium?
(a.) $239.8
(b.) $141.3
(c.) $130
(d.) $208
Graph it with labels, thanks!
In: Economics
Onta Enterprises is seeking to expand operations and is considering increasing production capacity by purchasing the latest plant and equipment. The following two plants are being considered for acquisition as they are technically superior to the current plant and will enable higher production volumes with lower cost inputs. The finance department has projected the cash flows for the life of the plant and has asked you as the investment manager to advise the Board on which of these plants to acquire. Onta’s current cost of capital is 12%.
The following information relates to the two plants that are being considered:
|
Plant Alpha |
Plant Beta |
||
|
Initial cost |
R550 000 |
R 400 000 |
|
|
Expected useful life |
4 years |
4 years |
|
|
Depreciation |
R137 500 p.a. |
R100 000 p.a. |
|
|
Net cash inflows |
Net cash inflows |
Net profit |
|
|
Expected net cash inflows |
R |
R |
R |
|
1st year 2nd year 3rd year 4th year |
180 000 190 000 210 000 160 000 |
130 000 130 000 130 000 130 000 |
30 000 30 000 30 000 30 000 |
Calculate the:
2.1 Payback Period for both plants. (Answers must be expressed in years, months and days.) (6)
2.2 Accounting Rate of Return for Plant Beta on initial investment. (4)
2.3 Net Present Value of each plant. (Round off amounts to the nearest Rand.) (9)
2.4 Based on your results in 2.1.3 which plant should be accepted? (1)
In: Accounting
Onta Enterprises is seeking to expand operations and is considering increasing production capacity by purchasing the latest plant and equipment. The following two plants are being considered for acquisition as they are technically superior to the current plant and will enable higher production volumes with lower cost inputs. The finance department has projected the cash flows for the life of the plant and has asked you as the investment manager to advise the Board on which of these plants to acquire. Onta’s current cost of capital is 12%.
The following information relates to the two plants that are being considered:
|
Plant Alpha |
Plant Beta |
||
|
Initial cost |
R550 000 |
R 400 000 |
|
|
Expected useful life |
4 years |
4 years |
|
|
Depreciation |
R137 500 p.a. |
R100 000 p.a. |
|
|
Net cash inflows |
Net cash inflows |
Net profit |
|
|
Expected net cash inflows |
R |
R |
R |
|
1st year 2nd year 3rd year 4th year |
180 000 190 000 210 000 160 000 |
130 000 130 000 130 000 130 000 |
30 000 30 000 30 000 30 000 |
Calculate the:
2.1 Payback Period for both plants. (Answers must be expressed in years, months and days.)
2.2 Accounting Rate of Return for Plant Beta on initial investment.
2.3 Net Present Value of each plant. (Round off amounts to the nearest Rand.)
2.4 Based on your results in 2.1.3 which plant should be accepted?
Note: All workings must be showed and answers must be typed in.
In: Accounting
Blue Ltd acquired on 1 July 2019 all the issued shares (cum div.) of ‘Pink’ Ltd for $33 000. At this date, the equity of ‘Pink’ Ltd was as follows.
| Share Capital | $ 20 000 |
| General Reserve | 2 000 |
| Retained Earnings | 5 000 |
All the identifiable assets and liabilities of ‘Pink’ Ltd were recorded at amounts equal to their fair values except for the following.
| Carrying Amount | Fair Value | |
| Plant Cost ($22 000) | $18 000 | $18 600 |
| Land | 19 000 | 21 000 |
| Inventories | 2 000 | 2 800 |
The plant’s expected remaining useful life was 5 years with benefits being expected evenly over that period. The plant was sold on 1 January 2022 for $18 700. The land was sold in February 2021 for $25 000. Of the inventories, 90% was sold by 30 June 2020 and the rest by 30 June 2021. At 1 July 2019, ‘Pink’ Ltd had recorded a dividend payable of $1 000 that was paid in September 2019. ‘Pink’ Ltd also had some unrecorded assets, in particular the brands relating to the clothing sold in the teenage market. ‘Blue’ Ltd valued these brands at $1 200 and assessed them to have an indefinite life. In the notes to its financial statements at 30 June 2019, ‘Pink’ Ltd disclosed a contingent liability relating to a guarantee it had made to one of its related companies. ‘Pink’ Ltd assessed the fair value of the guarantee payable as being $1 000. In August 2021, ‘Pink’ Ltd was required to pay $250 in relation to the guarantee. All transfers to the general reserve made by ‘Pink’ Ltd have been from retained earnings earned prior to 1 July 2019. The tax rate is 30%. The financial information provided by the two companies at 30 June 2020 is as follows.
| ‘Blue’ Ltd | ‘Pink’ Ltd | |
| Revenue | 19 000 | 11 000 |
| Expenses | (8 000) | (7 600) |
| 11 000 | 3 400 | |
| Gains on sale of non-current assets | 500 | 400 |
| Profit before tax | 11 500 | 3 800 |
| Income Tax expense | (4 000) | (600) |
| Profit for the year | 7 500 | 3 200 |
|
Other Comprehensive income |
||
| Gains on revaluation of plant | 1 200 | 0 |
| Comprehensive income for the year | $8 700 | $3 200 |
| Profit for the year | $7 500 | $3 200 |
| Retained earnings (1/7/21) | 8 000 | 8 800 |
| 15 500 | 12 000 | |
| Dividend Paid | (3 400) | 0 |
| Transfer to general reserve | 0 | (1 500) |
| (3 400) | (1 500) | |
| Retained Earnings (30/6/22) | $12 100 | $10 500 |
| Share Capital | $28 000 | $20 000 |
| General reserve | 2 000 | 4 800 |
| Asset revaluation surplus | 2 400 | 0 |
| Retained earnings | 12 100 | 10 500 |
| Total equity | 44 500 | 35 300 |
| Provisions | 1 500 | 1 200 |
| Payables | 4 000 | 800 |
| Total Liabilities | 5 500 | 2 000 |
| Total Equity and liabilities | $50 000 | $37 300 |
| Cash | $1 200 | $3 000 |
| Accounts Receivable | 2 800 | 1 200 |
| Inventories | 3 000 | 5 100 |
| Plant | 23 000 | 32 000 |
| Accumulated Depreciation- Plant | (12 000) | (4 000) |
| Shares in Brooks Ltd | 32 000 | 0 |
| Total Asset | $50 000 | $37 300 |
Required
In: Accounting
6. Augustine and Aristotle both focused on the summum bonum or
highest good. Briefly discuss one point of agreement and one point
of disagreement between the two philosophers on the summum bonum or
highest realizable good..
7. Describe one similarity and one difference between Aristotle’s
and Augustine’s views on moral virtue.
8. Describe one reason the will to love is pivotal in Augustine’s
thought.
9. Which do you find more convincing the shareholder theory or stakeholder theory of corporate social responsibility? Why?
10. Consider the Merck/Vioxx case or the Beer Marketer case of the CEO Appliance Case. Discuss one reason we might see the case as about the actions of individuals and one reason we might see the case as about the actions of a corporation as a moral agent and one reason we might place it on the societal level.
In: Psychology
|
Distance from one end of water surface (m) |
depth of water(d) , (m) |
Immersion of current meter below water surface (m) |
||
|
depth (m) |
sec |
rev |
||
|
0 |
0 |
— |
— |
— |
|
2 |
1 |
0.6 |
10 |
40 |
|
4 |
2.2 |
0.44 |
36 |
48 |
|
1.76 |
20 |
50 |
||
|
6 |
4 |
0.8 |
40 |
57 |
|
3.2 |
30 |
53 |
||
|
8 |
8 |
1.6 |
46 |
59 |
|
6.4 |
33 |
57 |
||
|
10 |
4.2 |
0.84 |
33 |
51 |
|
3.36 |
29 |
49 |
||
|
12 |
2.5 |
0.5 |
34 |
52 |
|
2 |
29 |
53 |
||
|
14 |
1.2 |
0.72 |
16 |
48 |
|
16 |
0 |
— |
— |
— |
Rating equation of current meter: v = 0.2 N + 0.04, where N = rev./sec, v = velocity (m/sec).
In: Civil Engineering
The comparative balance sheets for 2021 and 2020 and the
statement of income for 2021 are given below for Dux Company.
Additional information from Dux’s accounting records is provided
also.
| DUX COMPANY Comparative Balance Sheets December 31, 2021 and 2020 ($ in thousands) |
||||||||
| 2021 | 2020 | |||||||
| Assets | ||||||||
| Cash | $ | 33 | $ | 20 | ||||
| Accounts receivable | 48 | 50 | ||||||
| Less: Allowance for uncollectible accounts | (4 | ) | (3 | ) | ||||
| Dividends receivable | 3 | 2 | ||||||
| Inventory | 55 | 50 | ||||||
| Long-term investment | 15 | 10 | ||||||
| Land | 70 | 40 | ||||||
| Buildings and equipment | 225 | 250 | ||||||
| Less: Accumulated depreciation | (25 | ) | (50 | ) | ||||
| $ | 420 | $ | 369 | |||||
| Liabilities | ||||||||
| Accounts payable | $ | 13 | $ | 20 | ||||
| Salaries payable | 2 | 5 | ||||||
| Interest payable | 4 | 2 | ||||||
| Income tax payable | 7 | 8 | ||||||
| Notes payable | 30 | 0 | ||||||
| Bonds payable | 95 | 70 | ||||||
| Less: Discount on bonds | (2 | ) | (3 | ) | ||||
| Shareholders' Equity | ||||||||
| Common stock | 210 | 200 | ||||||
| Paid-in capital—excess of par | 24 | 20 | ||||||
| Retained earnings | 45 | 47 | ||||||
| Less: Treasury stock | (8 | ) | 0 | |||||
| $ | 420 | $ | 369 | |||||
| DUX COMPANY Income Statement For the Year Ended December 31, 2021 ($ in thousands) |
||||||
| Revenues | ||||||
| Sales revenue | $ | 200 | ||||
| Dividend revenue | 3 | $ | 203 | |||
| Expenses | ||||||
| Cost of goods sold | 120 | |||||
| Salaries expense | 25 | |||||
| Depreciation expense | 5 | |||||
| Bad debt expense | 1 | |||||
| Interest expense | 8 | |||||
| Loss on sale of building | 3 | |||||
| Income tax expense | 16 | 178 | ||||
| Net income | $ | 25 | ||||
Additional information from the accounting records:
Required:
Prepare the statement of cash flows of Dux Company for the year
ended December 31, 2021. Present cash flows from operating
activities by the direct method. (Do not round your
intermediate calculations. Enter your answers in thousands (i.e.,
10,000 should be entered as 10). Amounts to be deducted should be
indicated with a minus sign.)
In: Accounting
Use the given data set to complete parts (a) through (c) below. (Use
α=0.05.)
|
x |
10 |
8 |
13 |
9 |
11 |
14 |
6 |
4 |
12 |
7 |
5 |
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
y |
7.47 |
6.77 |
12.74 |
7.12 |
7.81 |
8.85 |
6.08 |
5.38 |
8.15 |
6.41 |
5.73 |
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
A.There is sufficient evidence to support the claim of a linear correlation between the two variables.
B.There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
C.There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
D.There is insufficient evidence to support the claim of a linear correlation between the two variables.
c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.
A.
The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
B.
The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier.
C.
The scatterplot does not reveal a perfect straight-line pattern.
D.
The scatterplot reveals a perfect straight-line pattern and does not contain any outliers.
In: Statistics and Probability