The rate of crude oil production from 2008 to 2013 by an oil company can be approximated by ?(?) = 6.2?^2 − 146? + 1910 million barrels per year where ? is time in years since the start of 2000. During that time, the price of oil was approximately ?(?) = 47?^0.046? dollars per barrel. Obtain an expression for the total oil revenue ?(?) from the start 0f 2008 to the start of year ? as a function of ?. You can round all coefficients to three significant digits.

With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of machine Y at an interest rate of 11% per year. Determine the replacement value.

The replacement value is $  .

A toy car whose body has a mass of 200 g has four ring-shaped wheels each with a mass of 25 g and a radius of 5 mm. The car is pushed 5 cm into a spring with a spring constant of 2000 N/m, and the car is released. After the car clears the spring, it then travels up a frictionless incline, so that the wheels spin at a constant rate while on the incline. Determine the maximum height that the toy car reaches on the incline.

1. A machine has a 10-year life. It costs $5,000 to install today, and annual maintenance costs in years 1-10 are $500 per year. If the discount rate is 7%, what is the machine's equivalent annual annuity (EAA)?

2. A project requires an initial investment of $20,000 today (i.e. year 0). Expected future cash flows in years 1-4 are $8000; $2000; $3000 and $6000 respectively.

1. If the discount rate is 8%, what is the NPV?

2. What is the IRR?

You are one of the potential investors in a business . Explain how you would go about evaluating the proposed investment. Use at least three different methods of evaluating investments. Describe the three different methods, and explain which one of these methods used is the best for this particular decision. Motivate your answer. Describe any potential negative issues of the chosen method which you should be aware of.

Answer must be between 1500-2000 word counts

A country has a population if 10,000 of this population 1,000 are below the age of 16, 2000 have given up looking for work, 700 are unemployed but but looking for work, 2500 work part time and the remaining are unemployed.

A. What is the unemployment rate?

B. What is the labor participation rate?

C. What is the adult population?

D. Suppose workers the workers who had given up looking for work decide to start working again, what is the new unemployment rate?

Labor use per unit for two products shown below for countries A and B, along with units of each product being produced. Can the two countries benefit from the trade? Who has the competitive advantage with regard to which?

Country A

unit labor shoes 100. computers 500

units produced shoes 1000 computers 10

Country B unit labor shoes 50 computers 200 unit produced shoes 2000 and computers 10

Contrail Air, Inc. is trying to determine its cost of debt. The company has an outstanding debt issue with 19 years to maturity that is quoted at 98.00% percent of face value. The issue makes semiannual payments and has a coupon rate of 9.00% percent. What is the pretax cost of debt?

According to the Internal Revenue Service, the average income tax refund for the 2011 tax year was $2,913. Assume the refund per person follows the normal probability distribution with a standard deviation of $950. a. What is the probability that a randomly selected tax return refund from the 2011 tax year will be 1. more than $ 2000 2. between $1,600 and $2,500? 3. between $3,200 and $4,000? b. Confirm the answers to part a using Excel or PH Stat.

In the following Table you are given information on Real GDP and Nominal GDP.

Compute the percentage change in Nominal GDP from 1970 to 1980 (15 points) and the percentage change in Real GDP (15 points) from 1970 to 1980.

Where do you attribute the difference between the two percentage changes?