A 0.25 kg block slides down a ramp that is 0.6 m tall, 0.8 m long and has a diagonal length of 1.0 m. The block starts at rest and arrives at the bottom with a speed of 1.3m/s. a.) How much heat was created by friction? b.)What is the average frictional force acting on the block? At what rate is kinetic energy being dissipated into heat near the bottom of the ramp? c.)Instead of a block, a cart with a mass of 0.33 kg rolls without any frictional losses. It collides with a horizontally mounted spring at the bottom of the ramp. If the spring has a spring constant of 215 N/m, how far will it be compressed. d.)Draw energy bar graphs for the following four moments: a. the moment of release, b. halfway down the ramp, c. at the base of the ramp d. when the spring has reached maximum compression.

On a railroad a -0.8% grade meters at 0.4% grade station 2+700 whose elevation of 300 m. The maximum allowable change in grade per station having a length of 20m. is 0.15.

1. Compute the length of cuve.
2. Compute the stationing where a culvert be located.
3. At what elevation must tge invert of the culvert be set if the pipe has a diameter of 0.9m. and the backfill is 0.3m depth. Neglect thickness of pipe.

Consider the following hypothetical data for the U.S. economy in 2020​ (in trillions of​ dollars), and assume that there are no statistical​ discrepancies, zero net incomes earned​ abroad, and zero taxes on production and imports of net subsidies. Category Value Category Value Corporate profits before taxes deducted ​$2.7 Exports ​$1.5 Proprietorial income 0.8 Net transfers and interest earnings 2.2 Rent 0.8 Nonincome expense items 1.8 Interest 0.9 Imports 1.8 Wages 8.4 Corporate taxes 0.6 Depreciation 1.2 Social security contributions 2.1 Consumption 12.1 Government spending 1.9 a. Calculate the gross domestic income LOADING.... ​$ nothing trillion.  ​(Enter your response rounded to one decimal​ place.)     Calculate GDP. ​$ nothing trillion.  ​(Enter your response rounded to one decimal​ place.)

Use the follow information to answer questions 1-5.

In a restaurant, the proportion of people who order coffee with their dinner is 0.75. A simple random sample of 200 patrons of the restaurant is taken.

Calculate the expected value of the sample proportion.

Calculate the standard deviation of the sample proportion.

Using the two conditions, np ≥ 5, and n (1 - p) ≥ 5, can the sampling distribution of p be approximated by a normal distribution?

Compute the probability that the proportion of people who will order coffee with their meal is at most 0.8.

Compute the probability that the proportion of people who will order coffee with their meal is at least 0.8.

Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 4.7 years and a standard deviation of 2.3 years.

Find the probability that a randomly selected DVD player will have a replacement time less than -0.8 years?
P(X < -0.8 years) =

Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

If the company wants to provide a warranty so that only 1.8% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty?
warranty =  years

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A snack company’s data analysts have estimated the following elasticities for sales of the firm’s products. Price elasticity is –2.5. Income elasticity is –0.8. Cross-price elasticity with chocolate bars is +0.5. Advertising elasticity is +0.8. Marginal cost is $6.

i) What is the optimal profit margin (P – MC)/P in percent?

ii) What is the optimal price?

iii) If the price of chocolate bars increases by 10%, by how much do the sales of the company change? (Pay attention to the right sign.)

iv) If the price of chocolate bars increases by 10%, and consumer incomes decrease by 5% at the same time, by how much do the sales of the company change? (Pay attention to the right sign.)

v) If the firm wants to achieve 20% sales growth, by how much does it need to increase its advertising expenditure?

Corporation makes a product with the following standard costs:

The company produced 4,500 units in January using 10,260 grams of direct material and 2,240 direct labor-hours. During the month, the company purchased 10,830 grams of the direct material at $7.20 per gram. The actual direct labor rate was $16.95 per hour and the actual variable overhead rate was $3.90 per hour.

The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased.

The materials quantity variance for January is:

Problem 2. The US National Park Service (NPS) believes that airborne sulfur pollution and acid rain has significantly reducing the water quality in several lakes and streams in the Adirondacks State Park in NY. Many of these water bodies are considered biologically ‘dead.’ Coal fired power plants in the Midwest contribute most of the pollution. If 70% of the sulfur pollution was removed, the NPS believes that many of the lakes and streams would return to their natural biological state. The costs and benefits associated with this project are as follows:

1. Construction cost for sulfur removal equipment = $300 million for each of the first three years of the project. (During these three years there are no other costs associated with the project.)

2. Operation and maintenance costs = $ 85 million per year (These costs begin to accrue once the project comes on-line in the fourth year. They continue to accrue over the entire life of the equipment, i.e., through the 20th year.)

3. Estimated increase in revenues earned by the Adirondacks State Park = $ 150 million per year (These additional revenues accrue so long as the sulfur reduction equipment is operating.)

4. Reduced incidence of acid rain in the Adirondacks Park area valued at: = $ 2 million per year. (These benefits begin accruing once the project comes on-line and are assumed to continue over an infinitely long time period.) Assume that the discount rate is 3% per year.

Sensitivity analysis: To determine the sensitivity of your conclusion regarding whether the project makes economic sense or not, (a) evaluate the project at a discount rate of 5% per year, and (b) assume that the estimated increase in Park revenues is $130 million per year instead of $150 million per year. You can assume a discount rate of 3% per year for this. What is your conclusion now?

Policy recommendation: Based on all your calculations, what is your overall recommendation regarding this project?

PROBLEM IV Binghamton University is building a recreation center. The estimated construction cost is $12 million with annual staffing and maintenance costs of $750,000 over the 20-year life of the project (ie, t = 0, 1, 2, …, 19). At the end of the life of the project (ie, at t = 19), Binghamton expects to be able to sell the land for $4 million, though the amount could be as low as $2 million and as high as $5 million. Analysts estimate the first-year benefits (accruing at the end of the year of the first year, ie at t =1) to be $1.2 million. They expect the annual benefit to grow in real terms due to increases in population and income. Their prediction is an annual growth rate of 4 percent, but it could be as low as 1 percent or as high as 6 percent. Analysts also estimate the real discount rate for Binghamton to be 6 percent per year, though it could be a percentage point lower or higher.

1. Calculate the present value of net benefits for this project using the analysts’ predictions.

2. Investigate the sensitivity of the present value of net benefits to alternative projections within the ranges given by the analysts. Change only one assumption at a time, and try all possible combinations of assumptions (there are 27 possible combinations).

3. Based on your analysis on parts 1 and 2 of this problem, do you think Binghamton University should build the recreation center?

You recently returned from a trip to Berlin, Germany. You were there from April 1st to April 4th for a conference on World Tolerance. Before you left Abu Dhabi, on March 30th at 3:30pm, you called your bank, ADCB, and informed the bank that you were traveling and to ensure your credit card would not be blocked in Germany. The bank thanked you for the call, said the card would not be blocked and wished you a pleasant trip. Story About Your Trip in Berlin When you arrived in Berlin at 9am on April 1st, you got a taxi at the airport and took the taxi to the hotel. You paid 30euros for the trip with your credit card. Then you checked into the hotel at noon without problems because you booked and paid for the hotel online before your trip. At 1pm, you decided to go for a walk around Berlin before the conference started the next day. You saw a cute little tea-shop and decided to buy packages of tea for your family and friends. You took your packages to the counter and tried to pay. You were horrified to find out your credit card would not work. You have enough credit on your card and there shouldn’t be anything wrong. You are so embarrassed because you can’t pay for the tea and everyone in line is looking at you. On top of that, you now have 3 more days in Berlin and you can’t access money because your card is blocked. You run back to the hotel and call the bank. They confirm your card is blocked because you are in Germany. You explain that you called before your trip to make sure this would not happen. The bank said, “We are sorry for the inconvenience. There is nothing they can do at the time”. The bank said it would take 3-5 business days to fix the mistake, but that is too long. You are stuck in Berlin without any money. This means you have to take food from the hotel breakfast buffet and hide it in your room for dinner. You need to eat the snacks provided by the conference for your lunch. You must refuse invitations to lunch because you know you can’t pay. Also, you must ask someone at the conference for 10euros to take the subway back to the airport. You are absolutely humiliated. You couldn’t do anything in Berlin because you couldn’t access your credit card. You are so angry at the bank! Your trip was ruined. The only thing you could do in Berlin is to attend the conference and walk around the city and look at the stuff you couldn’t buy. You get home and decide to write a business letter to the customer service manager, Anke Kuse, at ADCB. The bank is in Abu Dhabi at the Airport Road Branch. The PO Box is 55567. You want the bank to refund your flight to Berlin and provide 5000aed in damages because their mistake ruined your trip. The total is 12400aed. This is your Abu Dhabi mailing address. You live in AlBateen in Villa #27 on 17th Street. Write your letter and submit both in the submission box (not comment box) and also upload the document.

You recently returned from a trip to Berlin, Germany. You were there from April 1st to April 4th for a conference on World Tolerance. Before you left Abu Dhabi, on March 30th at 3:30pm, you called your bank, ADCB, and informed the bank that you were traveling and to ensure your credit card would not be blocked in Germany. The bank thanked you for the call, said the card would not be blocked and wished you a pleasant trip.

Story About Your Trip in Berlin

When you arrived in Berlin at 9am on April 1st, you got a taxi at the airport and took the taxi to the hotel. You paid 30euros for the trip with your credit card.  Then you checked into the hotel at noon without problems because you booked and paid for the hotel online before your trip. At 1pm, you decided to go for a walk around Berlin before the conference started the next day.  You saw a cute little tea-shop and decided to buy packages of tea for your family and friends. You took your packages to the counter and tried to pay.  You were horrified to find out your credit card would not work.  You have enough credit on your card and there shouldn’t be anything wrong.  You are so embarrassed because you can’t pay for the tea and everyone in line is looking at you. On top of that, you now have 3 more days in Berlin and you can’t access money because your card is blocked.  

You run back to the hotel and call the bank. They confirm your card is blocked because you are in Germany. You explain that you called before your trip to make sure this would not happen. The bank said, “We are sorry for the inconvenience.  There is nothing they can do at the time”. The bank said it would take 3-5 business days to fix the mistake, but that is too long.  You are stuck in Berlin without any money.

This means you have to take food from the hotel breakfast buffet and hide it in your room for dinner. You need to eat the snacks provided by the conference for your lunch.  You must refuse invitations to lunch because you know you can’t pay. Also, you must ask someone at the conference for 10euros to take the subway back to the airport.  You are absolutely humiliated.  You couldn’t do anything in Berlin because you couldn’t access your credit card.  

You are so angry at the bank! Your trip was ruined.  The only thing you could do in Berlin is to attend the conference and walk around the city and look at the stuff you couldn’t buy. You get home and decide to write a business letter to the customer service manager, Anke Kuse, at ADCB.  The bank is in Abu Dhabi at the Airport Road Branch. The PO Box is 55567. You want the bank to refund your flight to Berlin and provide 5000aed in damages because their mistake ruined your trip. The total is 12400aed.  

This is your Abu Dhabi mailing address. You live in AlBateen in Villa #27 on 17th Street.