Let the cyclic group {[0], [1], [2], ..., [n − 1]} be denoted by Z/nZ. Consider the following statement: for every positive integer n and every x in Z/nZ, there exists y ∈ Z/nZ such that xy = [1]. (a) Write the negation of this statement. (b) Is the original statement true or false? Justify your answer.

Translate the following tasks into Hack C-Instructions:

1. Assume (1) total sales are $300,000, (2) the direct labor cost of $40,000 is 25% of total conversion costs and 40% of total prime costs, (3) the total selling and administrative expense is $62,000, (4) the only variable selling and administrative expense is sales commissions of 6% of sales, (5) all manufacturing overhead costs are fixed costs, and (6) there are no beginning or ending inventories.

What is the total contribution margin?

2. Assume that a manufacturing company incurred the following costs:

3,

Assume the following information for a merchandising company:

What is the company's contribution margin?

What is the total amount of manufacturing overhead?

which is the statement is true

1.the annuity factor is always less than 1

2.the annuity factor can be greater than one and smaller than one

3.the annuity factor is always one higher Num

4.the annuity can be negative or positive

1. The following are the spot interest rates for 1- and 2-year fixed income securities.

Spot 1 Year           Spot 2 Year           Forward 1Year   (1 year maturity)                                                                                      

Treasury                            3.0%                         4.75%                                        x

BBB Corporate Debt         7.5%                         9.15%                                        y

1. Calculate the value of x (the implied forward rate on 1-year maturity Treasury at the end of the year) and the value of y (the implied forward rate on 1 year maturity BBB corporate debt at the end of one year).

Question 1

Suppose that the price of bread increases from $1/loaf to $2/loaf, resulting in the quantity demanded of bread to decrease from 200 loaves to 160 loaves. What is the arc elasticity of demand for bread? Is bread elastic or inelastic? Why? Is demand for bread elastic or inelastic over this price range? (20 points)

Question 2

If a firm wants to increase revenue on its product. Clearly explain why the owner needs to know whether their product is elastic or inelastic in deciding to change the price of their product. (15 points)

Question 3

Use graphs to demonstrate the income elasticity of:

1. Steaks,
2. Hamburgers, and
3. Ramen noodles.

What assumption did you make about each product in regard to its income elasticity? Use the appropriate economic terms in describing your assumptions. What is the economic significance of this for US agriculture? Explain. (30 points)

Question 4

Consider a competitive market for pork with the quantity demanded (per year) at various prices are given as follows:

Calculate the price elasticity of demand when the price is $80/kg. (5 points) Calculate the price elasticity of demand when the price is $00/kg. (5 points) Calculate the arc elasticity between price of $80/kg and $100/kg. (5 points)

Question 5

What impact will animal rights laws that cause producers to change their production practices have on the price and quantity of meat? Hint: be careful here… think about both demand and supply. (10 points)

Question 6

The own-price elasticity is related to changes in quantity demanded. Cross-price elasticities are related to changes in demand. Explain this statement. (10 points)

Consider the given matrix.

Find the eigenvalues. (Enter your answers as a comma-separated list.)

λ = 3i,−3i

(I got these right)
Find the eigenvectors of the matrix. (Enter your answers in order of the corresponding eigenvalues, from smallest to largest by real part, then by imaginary part.)

I can't seem to get the eigenvectors right.

Use the following information for the questions 1 2 & 3
On 1 st January 2015 Musheer LLC Company started a business of selling and buying Garments
products at Muscat. The company has brought few assets while starting the business namely
cash balance RO 32250, Bank balance RO 29750, short term investments RO 22150. The
company was running successfully the garments products business and started earning good
profits and the company gradually improved their business during the first six months also
purchased a machinery 1 st March 2015 RO 175690 and installation 11810 and life of the machine
is 5 years with scrap value of RO 22000. The company has brought additional capital of RO
1050000 in addition to the regular profits and purchased a building for RO 142750 on 1 st
September 2015 and a loan also borrowed from the Bank Muscat by showing the past months
profits on October 2015 of RO 105000 at 7% interest payable every year. The company with the
positive progress in the garment products business they also started a new branch at Ibra with a
capital of RO 122900. The company had bought one Equipment on 1 st June 2016 in another
branch for RO 97280 with the installation value of RO 22820 which has estimated life of 5 years
with the estimated scrap value of The Company of 13500 and the equipment is depreciated at
25% per annum on reducing balance method/written down value method. The Company closes it
books of account every year on 31 st December and Mr. Muneer a new accountant has been
appointed in the company who is a fresh Bachelor Graduate in accounting with high GPA but he
wants your expertise knowledge to understand the concept of the depreciation and
You are required to prepare depreciation schedule for the following non-current assets
showing all the working notes
A)  Equipment for five years under reducing balance method or written down value
method
B) .Machinery for five years under Straight Line Method

C)Building for five years under straight line method

Note: please write the answer in text format in word

Please Answer the following problem 1 and 2. write clearly.

PROBLEM 1

A 5.96 − kg block is placed against a compress spring on a frictionless 27.0 degrees incline. The spring,

whose force constant is 2.5 N/cm, is compressed 21.3 cm, after which the block is released. How far up

the incline will the block go before coming to rest? Measure the final position of the block with respect

to its position just before being released. Consider two cases:

(a) the block is firmly attached to the spring, and

(b) the block is not attached to the spring and can loosely move up the incline

PROBLEM 2

During a rockslide, a 524 − kg rock slides from the rest down the hill slope that is 488 m long and

292 m high. The speed of the rock when it reaches the bottom of the hill is 62.6 m/s. How much

mechanical energy does the rock lose in the slide due to friction.

Prob 1: Do not work on problem 1. I would you to work on problem 2

You have been given the following information on a

project:

It has a five-year lifetime

The initial investment in the project will be $25 million, and the investment will be depreciated straight line, down to a salvage value of $10 million at the end of the fifth year.

The revenues are expected to be $20 million next year and to grow 10% a year after that for the remaining four years.

The cost of goods sold, excluding depreciation, is expected to be 50% of revenues.

The tax rate is 40%.

Estimate the pretax return on capital, by year and

on average, for the project.

Estimate the after-tax return on capital, by year and on average, for the project.

If the firm faced a cost of capital of 12%, should it take this project?

Prob 2:

Now assume that the facts in Problem 1 remain un- changed except for the depreciation method, which is switched to an accelerated method with the following de- preciation schedule:

Year % of Depreciable Asset

1 40

2 20

3 14.4

4 13.3

5 13.3

Depreciable asset = Initial investment − Salvage value

Estimate the pretax return on capital, by year and

on average, for the project.

Estimate the after-tax return on capital, by year and on average, for the project.

If the firm faced a cost of capital of 12%, should it take this project?