1. An engineering project involves the purchase of a capital asset with first cost of $100 000, operating costs of $5 000 per year and a service life of 10 years. The expected revenue is $20 000 per year. If the CCA rate is 25%, interest rate is 10% and the corporate tax rate is 33%, what is the project's present worth?

A reservoir contains 100 million gallons of water. On the first of January, the EPA measures the amount of a pollutant in the reservoir and determines that there are C pounds of pollutant. The reservoir is fed by a polluted stream that brings in 1 million gallons of water per day. This stream water contains the pollutant at a concentration of 0.00002 pounds of pollutant per gallon. At the same time, reservoir water escapes through a channel to the ocean in such a way that the amount of water in the reservoir stays fixed. Let P(t) denote the amount of pollutant in pounds the reservoir at time t.

A )How many pounds of pollutant enters the reservoir per day ?

B )How many pounds of pollutant exits the reservoir per day?

C )Write a differential equation that describes the rate that the amount of the pollutant present in the reservoir is changing. You should include any initial conditions that the pollutant satisfies, but you do not need to solve the differential equation

Of the first 100 appointments to the nation’s Supreme Court, 52% of the justices have been firstborn or only children. Assuming the 100 Supreme Court justice appointments represent a random sample of all past and future justices, construct a 95% confidence interval for the percentage of all Supreme Court justices who were firstborn or only children.

H2SO4 is a strong acid because the first proton ionizes 100%. The Ka of the second proton is 1.1x10-2. What would be the pH of a solution that is 0.100 M H2SO4? Account for the ionization of both protons.

Write a program in Python that will print first 100 numbers of the following series: 0, 1, 1, 2, 3, 5, 8……..

13. A.

1. A business operated at 100% of capacity during its first month and incurred the following costs:

   Production costs (20,700 units):
   Direct materials	$172,500
   Direct labor	232,400
   Variable factory overhead	259,600
   Fixed factory overhead	97,500	$762,000
   Operating expenses:
   Variable operating expenses	$134,200
   Fixed operating expenses	46,900	181,100

   If 1,600 units remain unsold at the end of the month, what is the amount of inventory that would be reported on the variable costing balance sheet?

   a. $51,360

   b. $61,735

   c. $58,899

   d. $72,897

13. B.

1. Strait Co. manufactures office furniture. During the most productive month of the year, 3,800 desks were manufactured at a total cost of $82,800. In the month of lowest production the company made 1,170 desks at a cost of $64,400. Using the high-low method of cost estimation, total fixed costs are

   a. $56,200

   b. $64,400

   c. $18,400

   d. $82,800

13. C.

1. If a business had sales of $4,248,000 and a margin of safety of 20%, the break-even point was

   a. $7,646,400

   b. $849,600

   c. $5,097,600

   d. $3,398,400

They forecast new revenues of $100 million in the first year and $200 million in year 2, growing at 2.5% per year thereafter. The cost of goods underlying these new revenues is 45 percent of the revenues.

To achieve these synergies will require an investment of $400 million initially, and 5% of the added revenue each year, to fund working capital growth.

Find the net present value of these synergies using a discount rate of 15% and a marginal tax rate of 40%.

Please show how answers are derived.

A project cost $650 and has cash flows of $150 for the first year, $100 for the second year, and $80 in each of the subsequent years. What is the payback period of the project?

Sara earns $200 in the first period and $100 in the second period. She lives in the two-period Fisher model of consumption. Therefore, she can borrow or lend at the interest rate r. considering the two-period Fisher’s model,

a) Write down her intertemporal budget constraint.

b) Assume that She is consuming 150 in the first-period and 160 in the second-period. What is the interest rate?

c) What will happen to Sara’s consumption if the interest rate changes to r=10%. Support your interpretation with a related graph.

d) What will happen to Sara’s consumption if interest rate changes to r=30%. Support your interpretation with a related graph.