A $100$-kVA, $8000/277$-V distribution transformer has the following resistances and reactances:

$$\begin{aligned} R_p & = 5\ \Omega & \quad \quad & R_S = 0.005\ \Omega\\ X_p & = 6\ \Omega & \quad \quad & X_S = 0.006\ \Omega\\ R_C & = 50\ \text{k}\Omega & \quad \quad & X_M = 10\ \text{k}\Omega \end{aligned}$$

The excitation branch impedances are given referred to the high-voltage side of the transformer.

(a) Find the equivalent circuit of this transformer referred to the low-voltage side.

(b) Find the per-unit equivalent circuit of this transformer.

(c) Assume that this transformer is supplying rated load at $277$ V and $0.85$ PF lagging. What is this transformer’s input voltage? What is its voltage regulation?

(d) What are the copper losses and core losses in this transformer under the conditions of part (c)?

(e) What is the transformer’s efficiency under the conditions of part (c)?

A 60-Hz 20-kVA 8000/240-V-rms transformer has the following equivalent-circuit parameters:

$$\begin{matrix} \text{Primary resistance} & R_1 & \ 15 \Omega\\ \text{Secondary reistance} & R_2 & 0.02 \Omega\\ \text{Primary Leakage reactance} & X_ 1=\omega L_1 & 120 \Omega\\ \text{Secondary leakage reactance} & X_ 2=\omega L_2 & 0.15 \Omega\\ \text{Magnetizing reactance} & X_ m=\omega L_m & 30 k \Omega\\ \text{Core-loss resistance } & R_c & 200 k \Omega\\ \end{matrix}$$

Find the percentage regulation and power efficiency for the transformer for a 2-kVA load having a lagging power factor of 0.8.

Vitousek and Farrington (1997) investigated nutrient limitations in soils of different ages. In the abstract of their paper, they say, Walker and Syers (1976) proposed a conceptual model that describes the pattern and regulation of soil nutrient pools and availability during long-term soil and ecosystem development. Their model implies that plant production generally should be limited by N [nitrogen] on young soils and by P [phosphorus] on old soils; N and P supply should be more or less equilibrate on intermediate aged soils. Vitousek and Farrington tested this hypothesis by conducting fertilizer experiments along a gradient of soil age, measuring the average increment in diameter (in mm/yr) of Metrosideros polymorpha trees. Denote by D(N, P, t) the diameter increment (in mm/yr) as a function of the amount of nitrogen (N) added, the amount of phosphorus (P) added, and the age (t) of the soil. Vitousek and Farrington’s experiments showed that $\frac{\partial D}{\partial t}(\mathrm{N}, 0, t)<0$ and $\frac{\partial D}{\partial t}(0, \mathrm{P}, t)>0$ for their choices of N > 0 and P > 0. Explain why their results support theWalker and Syers hypothesis.

Nine pairs of hypothetical profiles were constructed for corporate employees applying for admission to an executive MBA program. Within each pair, these profiles were identical, except that one candidate was male and the other female. For interviews for employment of these graduates, evaluations on a scale of 1 (low) to 10 (high) were made of the candidates’ suitability for employment. The results are shown in the accompanying table. Analyze these data using the Wilcoxon signed rank test test.

$$\begin{array}{ccc} \hline \text { Interview } & \text { Male } & \text { Female } \\ \hline 1 & 8 & 8 \\ 2 & 9 & 10 \\ 3 & 7 & 5 \\ 4 & 4 & 7 \\ 5 & 8 & 8 \\ 6 & 9 & 9 \\ 7 & 5 & 3 \\ 8 & 4 & 5 \\ 9 & 6 & 2 \\ \hline \end{array}$$

Refer to the zener diode datasheet. (a) What is the maximum dc power dissipation at $25^{\circ} \mathrm{C}$ for a $1 \mathrm{~N} 4738 \mathrm{~A}$ ? (b) Determine the maximum power dissipation at $70^{\circ} \mathrm{C}$ and at $100^{\circ} \mathrm{C}$ for a $1 \mathrm{~N} 4751 \mathrm{~A}$. (c) What is the minimum current required by the $1 \mathrm{~N} 4738 \mathrm{~A}$ for regulation? (d) What is the maximum current for the $1 \mathrm{~N} 4750 \mathrm{~A}$ at $25^{\circ} \mathrm{C}$ ? (e) The current through a $1 \mathrm{~N} 4740 \mathrm{~A}$ changes from $25 \mathrm{~mA}$ to $0.25 \mathrm{~mA}$. How much does the zener impedance change?

Differentiate among inspiratory capacity, functional residual capacity, vital capacity, and total lung capacity.

Simon opened a certificate of deposit with the money from his bonus check. The bank offered 4.5% interest for 3 years of deposit. Simon calculated that he would earn $87.75 interest in that time. How much did Simon deposit to open the account?

The balance in retained earnings on January 1, 2017, for Palmer Inc. was $800,000. During the year, the corporation paid cash dividends of$90,000 and distributed a stock dividend of $8,000. In addition, the company determined that it had understated its insurance expense in prior years by$50,000. Net income for 2017 was $120,000. Prepare the retained earnings statement for 2017

Find the branch points and the number of sheets of the Riemann surface. √(4-z²)(1-z²)

If you have trouble sleeping, you are in good company: About 50 million American adults suffer from sleep deprivation. Some causes, such as drinking caffeine in the evening, are avoidable. Certain medical conditions, such as asthma and depression, can interfere with sleep-and so can some medications. Sleep deprivation is something you should take seriously. It can leave you without the energy or physical strength to meet the day's demands. You may find it harder to think clearly, to solve problems, or to remember things, too. Irritability, moodiness, and anxiety often can be traced to a lack of sleep

The passage explains that sleep deprivation may result in-

A. moodiness and an inability to solve problems.

B. asthma and emotional irritability.

C. weight loss and anxiety.

D. anxiety and an increased need for medication.

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with $60^{\circ}$ between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: If it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either $30^{\circ}$ leftward or $30^{\circ}$ rightward. If it is moving toward the nest, it has only one such choice. Figure 3-31 shows a typical ant trail, with lettered straight sections of $2.0 \mathrm{~cm}$ length and symmetric bifurcation of $60^{\circ}$. What is the angle (relative to the positive direction of the superimposed $x$ axis) of an ant's displacement from the nest (find it in the figure) if the ant enters the trail at point $A$ ?

People often tell tales that are meant to teach the truths of life. Nasreddin Hoja (or Hodja), a round, turbaned man, has been a part of Middle Eastern, Turkish, and Arabic folklore for six centuries. Hoja, a preacher and a farmer, is both wise and foolish, lucky and unlucky-in short, human. His stories show life's contradictions, with wisdom and humor. While his tales are rooted in the thirteenth century, they provide insights for every culture and every age.

In one story, Hoja learns not to question the order of nature. According to the tale, on a hot summer day, Hoja and his faithful donkey were plowing in the fields. "Let's rest a bit," said Hoja to his donkey. They lay down under the shade of a walnut tree, right next to a large pumpkin patch. (1) There he was, indulging in a reverie, when a sudden thought made Hoja sit upright. He stared at the pumpkins growing on small, slender vines on the ground. He then observed the small walnuts on the large branches above him. (2) Hoja grew pensive.

(3) As his eyes moved back and forth between the pumpkins and the walnuts, he started to ponder the order of nature. (4) After a while, he said aloud, "I am not a philosopher, but just a simple farmer and preacher. Still, I must question the wisdom of nature. (5) I would postulate that the pumpkins and the walnuts should be switched around! The pumpkins are big and should grow on large, strong branches of a tree like this one, and the walnuts should grow on the ground on thin, little vines. (6) Surely that would be a more rational way for nature to work."

(7) Just as he had declared this dogma, the wind knocked a walnut from the tree, and the walnut hit Hoja on the head. "Ow!" yelled Hoja, rubbing his head.

(8) Suddenly, Hoja had an epiphany. "Now I understand how foolish my thoughts have been," he said. "What if this tree had pumpkins growing on it, and what if a great, big pumpkin, not a tiny walnut, had hit me on the head? Why, I might have been killed!"

(9) In another Hoja tale, clothing is used as a stratagem to reveal human nature. An Ottoman official had invited Hoja to a fancy dinner party. But because he was late, Hoja didn't have a chance to change his stained, travel-worn clothes for something more elegant. He arrived at the official's door, but before he could even introduce himself, the host said coldly, "Beggars are not welcome here!" He pushed Hoja out the door and slammed it shut.

Hoja quickly unpacked his bag and changed into a silk robe and a fancy turban. He knocked on the door again.

(10) This time, he presented a more plausible appearance as a dinner party guest. He was welcomed warmly and seated at the table. But when Hoja was served a bowl of soup, he put a sleeve of his robe into the bowl and said "Eat, robe, eat!" "What are you doing?" asked the puzzled host. "Sir," explained Hoja, "I am feeding my clothes. To judge by the way you treated me just a few minutes ago, it is clear that my fancy clothes-not myself-are the objects of your hospitality!"

Each sentence below refers to a numbered sentence in the passage. Write the letter of the choice that gives the sentence a meaning that is closest to the original sentence.

Hoja grew $\rule {2cm}{0.15mm}$.

a. angry

b. hungry

c. thoughtful

d. emotional

Part A. ldentify the following questions as most likely to be asked by an internal (I) or an external (E) user of accounting information.

___ 1. Which inventory items are out of stock?
___ 2. Should we make a five-year loan to that business?
___ 3. What are the costs of our product's ingredients?
___ 4. Should we buy, hold, or sell a company's stock?
___ 5. Should we spend additional money for redesign of our product?
___ 6. Which firm reports the highest sales and income?
___ 7. What are the costs of our service to customers?

Part B. Identify the following users as either an internal (I) or an external (E) user.

___ 1. Research and development executive 
___ 2. Human resources executive 
___ 3. Politician
___ 4. Shareholder
___ 5. Distribution manager
___ 6. Creditor
___ 7. Production supervisor
___ 8. Purchasing manager

The City of Imperial Falls contracts with Evergreen Waste Collection to provide solid waste collection to households and businesses. Until recently, Evergreen had an exclusive franchise to provide this service in Imperial Falls, which meant that other waste collection fi rms could not operate legally in the city. The price per pound of waste collected was regulated at 20 percent above the average total cost of collection.

Cost data for the most recent year of operations for Evergreen are shown below:

Data on customers for the most recent year are:

The City Council of Imperial Falls is considering allowing other private waste haulers to collect waste from businesses, but not from households. Service to businesses from other waste collection firms would not be subject to price regulation. Based on information from neighboring cities, the price that other private waste collection firms will charge is estimated to be$0.04 per pound (= $80 per ton).

Evergreen’s CEO has approached the city council with a proposal to change the way costs are allocated to households and businesses, which will result in different rates for households and businesses. She proposes that administrative costs and truck operating costs be allocated based on the number of customers and the other collection costs be allocated based on pounds collected. The total costs allocated to households would then be divided by the estimated number of pounds collected from households to determine the cost of collection. The rate would then be 20 percent above the cost. The rate for businesses would be determined using the same calculation.

Required
Based on cost data from the most recent year, what is the price per pound charged by Evergreen for waste collection under the current system (the same rate for both types of customers)?