4-23 After heat treatment, the 2-cm thick metal plates (k = 180 W/m·K, ρ = 2800 kg/m3, and cp
= 880 J/kg·K) are conveyed through a cooling chamber with a length of 10 m. The plates enter the cooling
chamber at an initial temperature of 500°C. The cooling chamber maintains a temperature of 10°C, and
the convection heat transfer coefficient is given as a function of the air velocity blowing over the plates h
= 33V0.8, where h is in W/m2·K and V is in m/s. To prevent any incident of thermal burn, it is necessary
for the plates to exit the cooling chamber at a temperature below 50°C. In designing the cooling process to
meet this safety criteria, use the EES (or other) software to investigate the effect of the air velocity on the
temperature of the plates at the exit of the cooling chamber. Let the air velocity vary from 0 to 40 m/s, and
plot the temperatures of the plates exiting the cooling chamber as a function of air velocity at the moving
plate speed of 2, 5, and 8 cm/s.
In: Mechanical Engineering
Cullumber Company, as lessee, enters into a lease agreement on
July 1, 2021, for equipment. The following data are relevant to the
lease agreement:
| 1. | The term of the noncancelable lease is 4 years, with no renewal option. Payments of $855,212 are due on July 1 of each year. | |
| 2. | The fair value of the equipment on July 1, 2021 is $3,020,000. The equipment has an economic life of 6 years with no salvage value. | |
| 3. | Cullumber depreciates similar machinery it owns on the sum-of-the-years'-digits basis. | |
| 4. | The lessee pays all executory costs. | |
| 5. | Cullumber's incremental borrowing rate is 10% per year. The lessee is aware that the lessor used an implicit rate of 9% in computing the lease payments. |
Indicate the type of lease Cullumber Company has entered into and what accounting treatment is applicable. (finance or lease method)
Prepare the journal entries on Cullumber's books that relate to
the lease agreement for the following dates: (Credit
account titles are automatically indented when amount is entered.
Do not indent manually. Round present value factor calculations to
5 decimal places, e.g. 1.25124 and the final answer to 0 decimal
places e.g. 5,250.)
| 1. | July 1, 2021. | |
| 2. | December 31, 2021. | |
| 3. | July 1, 2022. | |
| 4. | December 31, 2022 |
In: Accounting
Interest Rate Parity
One year rates are:
US: 2%
EUR: 1.5%
GBP: 3%
The EURUSD rate is 1.10.
The GBPUSD rate is 1.18.
1. What should the 1 year EURUSD forward rate be?
2. What should the 1 year GBPUSD forward rate be?
3. What should the 1 year EURGBP forward rate be?
4. If the 1 year EURUSD forward rate is 1.15, describe the steps needed to earn a riskless profit.
5. If the 1 year GBPUSD forward rate is 1.15, describe the steps needed to earn a riskless profit.
In: Finance
7. Let C be the oriented curve consisting of four line segments from (0, 0, 0) to (0, 2, 0), from (0, 2, 0) to (0, 0, 1), from (0, 0, 1) to (1, 0, 0), from (1, 0, 0) to (0, 0, 0).
Consider the vector field F (x, y, z) = <2z(1 + y) + e^x^10 , 3xz, 4(x + 1)y>.
(a) Compute the curl of F .
(b) Compute the line integral C F dr . (Hint: start by sketching the curve C.)
In: Advanced Math
1) The correct arrangement of the following complex ions in terms of increasing crystal field splitting energy (D) is:
[CrI6]3- [CrF4]- [Cr(en)3]3+ [W(en)3]3+
a) Smallest [CrI6]3- < [Cr(en)3]3+ < [CrF4]- < [W(en)3]3+ Largest
b) Smallest [CrI6]3- < [W(en)3]3+ < [CrF4]- < [Cr(en)3]3+ Largest
c) Smallest [CrF4]- < [CrI6]3- < [Cr(en)3]3+ < [W(en)3]3+ Largest
d) Smallest [CrF4]- < [W(en)3]3+ < [CrI6]3- < [Cr(en)3]3+ Largest
e) Smallest [W(en)3]3+ < [Cr(en)3]3+ < [CrF4]- < [CrI6]3- Largest
2) Determine the number of unpaired electrons for each of the following coordination complexes:
|
[Ni(H2O)6]2+ |
[CoCl6]2– |
Cr(CO)6 |
[Pt(CN)4]2– |
Arrange these complexes in order of increasing number of unpaired electrons (in the answers below an = sign is used if two complexes have the same number of electrons).
a) Fewest [Pt(CN)4]2– < [Ni(H2O)6]2+ < Cr(CO)6 < [CoCl6]2– Greatest
b) Fewest [Pt(CN)4]2– = Cr(CO)6 < [CoCl6]2– < [Ni(H2O)6]2+ Greatest
c) Fewest [Pt(CN)4]2– < Cr(CO)6 < [CoCl6]2– < [Ni(H2O)6]2+ Greatest
d) Fewest [Pt(CN)4]2– < Cr(CO)6 < [Ni(H2O)6]2+ < [CoCl6]2– Greatest
e) Fewest [Pt(CN)4]2– = Cr(CO)6 < [Ni(H2O)6]2+ < [CoCl6]2– Greatest
In: Chemistry
Joe, Jim, and Jay have been partners for several years. The partners allocate all profits and losses on a 4:4:2 basis, respectively. Now, each partner has become personally insolvent and, the three partners have decided to liquidate the business in hopes of solving their personal financial issues. As of September 1, the partnership’s balance sheet is as follows:
|
Assets |
Liabilities and Capital |
||||
|
Cash |
$ |
35,000 |
Liabilities |
$ |
131,000 |
|
Accounts receivable |
132,000 |
Joe, capital |
60,000 |
||
|
Inventory |
122,000 |
Jim, capital |
99,000 |
||
|
Land, building, and equipment (net) |
71,000 |
Jay, capital |
70,000 |
||
|
Total assets |
$ |
360,000 |
Total liabilities and capital |
$ |
360,000 |
Required:
In: Accounting
1. Solve the following word problem. You should get infinite solutions. So find the pattern for them and give a range of t values that is possible based on the word problem. A trucking company plans on buying 4 kinds of trucks: a pick-up, a small flatbed, a large flatbed, and a dump truck. The pick-up needs one worker to operate, 4 hours of maintenance and 3 hours of cleaning. The small flatbed needs one worker to operate, 1 hour of maintenance and 1 hour of cleaning. The large flatbed needs one worker to operate, 3 hours of maintenance and 2 hours of cleaning. The dump truck needs 2 workers to operate, 3 hours of maintenance and 2 hours of cleaning. If the company has exactly 46 workers, exactly 140 hours for maintenance and exactly 112 hours for cleaning. How many of each kind of truck should they purchase?
In: Advanced Math
The demand for a certain weekly magazine at a newsstand is a discrete random variable, X. The demand never exceeds 6 magazines per week. The distribution of X is symmetric about the value of 3.
1. The table below is intended to present the distribution of variable X. Complete the table. x 0 1 2 3 4 5 6 P(X = x) 0.05 0.10 0.20
| x | 0 | 1 | 2 | 3 | 4 | 5 |
| P(X=x) | 0.05 | 0.10 | 0.20 |
2. The magazines cost $4.00 per copy for the owner of the newsstand and are sold for $6.00 per copy to the customers. At the beginning of each week, the owner of the newsstand buys 6 magazines to sell during the week. In dollars, what is the expected amount of money the owner of the newsstand will take in from the sales of the magazines per week?
3. Explain briefly why it would not be wise for the owner of the newsstand to buy 6 magazines at the beginning of each week.
In: Statistics and Probability
Use an appropriate design to evaluate the effect of forest type on chick survival, while accounting for variation in elevation.
1) State all relevant hypotheses (nulls and alternatives).
2) State which test was used and why you used it.
3) State conclusions after completing your analyses.
| Forest type | Elevation | chick survival |
| edge | 1 | 0.21 |
| non-edge | 1 | 0.34 |
| edge | 2 | 0.45 |
| non-edge | 2 | 0.38 |
| edge | 3 | 0.35 |
| non-edge | 3 | 0.57 |
| edge | 4 | 0.14 |
| non-edge | 4 | 0.58 |
| edge | 5 | 0.21 |
| non-edge | 5 | 0.28 |
| edge | 6 | 0.61 |
| non-edge | 6 | 0.69 |
| edge | 7 | 0.53 |
| non-edge | 7 | 0.47 |
| edge | 8 | 0.13 |
| non-edge | 8 | 0.36 |
| edge | 9 | 0.24 |
| non-edge | 9 | 0.32 |
| edge | 10 | 0.41 |
| non-edge | 10 | 0.68 |
In: Statistics and Probability
The following data represent the filling weights based on
samples of 350-gram containers. Ten samples of size 5 were
taken.
|
Sample |
Observ. 1 |
Observ. 2 |
Observ. 3 |
Observ. 4 |
Observ. 5 |
|
|
1 |
333.6226 |
339.3906 |
361.9761 |
339.1192 |
346.4578 |
|
|
2 |
365.5820 |
347.4967 |
349.5748 |
352.6524 |
363.7096 |
|
|
3 |
363.8708 |
367.4003 |
335.0422 |
328.8487 |
355.8509 |
|
|
4 |
338.4916 |
338.6541 |
346.3491 |
366.9538 |
343.1767 |
|
|
5 |
355.2305 |
345.7635 |
356.5218 |
347.2718 |
334.5434 |
|
|
6 |
345.6990 |
326.0756 |
328.9903 |
362.4881 |
352.8718 |
|
|
7 |
334.7083 |
359.4960 |
333.1609 |
352.2697 |
360.8256 |
|
|
8 |
341.2400 |
356.8819 |
369.7263 |
336.0729 |
361.5562 |
|
|
9 |
356.7090 |
343.1499 |
373.2071 |
352.1363 |
353.2949 |
|
|
10 |
351.4613 |
338.4823 |
366.3254 |
346.1882 |
343.1589 |
1. Create the X Chart.
2. Based upon the X Chart, what is the lower control limit ?
(round up four decimal places - example: 99.9999)
In: Statistics and Probability