Nu-Tek Inc. recently announced that it will pay its first annual dividend in one year in the amount of $0.50 a share. The dividend will be increased by 50% annually for the following two years, after which time the increase will be limited to 2.5% annually. How much are you willing to pay for one share of this stock today if you require a 14% rate of return?

Marian Kirk wishes to select the better of two 7 ​-year annuities. Annuity 1 is an ordinary annuity of ​$2 comma 890 per year for 7 years. Annuity 2 is an annuity due of ​$2 comma 670 per year for 7 years. a.  Find the future value of both annuities at the end of year 7 ​, assuming that Marian can earn​ (1) 8 ​% annual interest and​ (2) 16 ​% annual interest. b.  Use your findings in part a to indicate which annuity has the greater future value at the end of year 7 for both the​ (1) 8 % and​ (2) 16 ​% interest rates.. c.  Find the present value of both​ annuities, assuming that Marian can earn ​(1) 8 ​% annual interest and​ (2) 16 ​% annual interest. d.  Use your findings in part c to indicate which annuity has the greater present value for both the​ (1) 8 ​% and​ (2) 16 ​% interest rates. e. Briefly​ compare, contrast, and explain any differences between your findings using the 8 ​% and  16 ​% interest rates in parts b and d.

Write it in C++

The most disgusting recursive problem ever. The McDonald’s near campus sells Chicken McNuggets in orders of 6, 9, or 20. Suppose you are ordering for a party and you know exactly how many McNuggets will be eaten by guests. It turns out that, for any integer n ≥ 44, you can order exactly n Chicken McNuggets at this McDonald’s. For purposes of this problem, you cannot throw out McNuggets or allow them to go uneaten, such as by acquiring n = 44 by buying two twenty packs and a six pack, then discarding two. If the thought of this many Chicken McNuggets is too disgusting, you may pretend you are buying n ≥ 44 celery sticks in bunches of 6, 9, or 20 (feel free to rename the function below in that case). Finish the recursive function below to complete the ordering and return the counts by reference parameters. You may assume for this problem that there will be no overflow or underflow at any point in the problem and that stack space is not a concern. The code has been started for you and is part of a correct solution.

void buyChicken ( unsi gned n , un si gned & num6Packs , un si gned & num9Packs , un signed & num20Packs ) { i f ( 44 == n ) { num20Packs = 1 ; num6Packs = 4 ; num9Packs = 0 ; }

e l s e i f ( 4 5 == n ) { num20Packs = 0 ; num6Packs = 3 ; num9Packs = 3 ; } e l s e i f ( 4 6 == n ) { num20Packs = 2 ; num6Packs = 1 ; num9Packs = 0 ; }

1. In the U.S., what percentage of the energy used to generate electricity is lost to conversion efficiencies?
i. 20%
ii. 30%
iii. 40%
iv. 50%
v. 60%

2. What is wind turbine coefficient of performance?
i. The ratio of tip speed to incoming wind speed
ii. The ratio of AC to DC turbine power
iii. The ratio of power extracted by the turbine to the rated turbine power
iv. The ratio of the power extracted by the turbine to the power in the wind

3. What is the maximum wind turbine power that can be harvested using a wind turbine with a turbine radius = 0.2 m and wind speed = 3 m/s, air density = 1.23 kg/m3?
i. 0.23 W
ii. 0.41 W
iii. 0.70 W
iv. 0.82 W
v. 1.23 W

The Heat Capacity of Metals

Data Calorimeter Constant Determination:

Mass of cups and cool water(g) 27.15

Mass of cups and cool water(g) 56.12

Mass of cups, cool water, and hot water(g) 93.62

Initial temperature of cool water and calorimeter (c) 21.9

Initial temperature of hot water (c) 94.0

Final temperature of hot water, cool water, and calorimeter (c) 53.0

Calculate the calorimeter constant from your data.

1. How much heat (in Joules) is required to raise the temperature of 50 grams of water from 14c to 89c?

2. If 25.0g of cool water at 23.0c is mixed with 25.0g of hot water to give a final temperature of 34.6c, what was the initial temperature of the hot water? Assume no heat is lost to the calorimeter.

3. Give at least one probable cause for the heat loss caused by the calorimeter itself (c). Suggest a method to prevent or reduce this heat loss.

4. List at least two possible sources of error in this determination of the molar mass of an unknown metal.

5. Explain in terms of thermochemistry why hot water is so much more likely to cause a burn than a metal at the same temperature.

Calculate the pH and pOH of each of the following solutions.

- Express your answer to two decimal places. Enter your answers numerically separated by a comma.

-A) [H3O+]= 1.6×10⁻⁸ M

-B) [H3O+]= 1.0×10⁻⁷ M

-C) [H3O+]= 2.5×10⁻⁶ M

Convert to standard maximum form and apply two iterations of simplex process using slack form.

Maximize

2x1 -6x3

Subject to

x1 + x2 – x3 <= 7

3x1 – x2 >= 8

-x1 + 2x2 + 2x3 >= -2

x2, x3 >=0

Please write the answer very clearly.

Vitalife Pty Ltd is considering buying a new vitamin C extraction machine. The machine is estimated to cost $140,000 which can last for 7 years before it becomes too costly to maintain and can be sold for scrap at $20,000. The project is estimated to bring in additional $27,000 cash inflow and incur $12,000 in additional expenses related to the running the machine in the first year. The company expects there will be an annual sales growth of 6% from year 2 onward. Expenses are also expected to grow by 3% annually from the second year of the operation.  

The company plans to fund the purchase of the new machine using a bank loan with an interest rate of 11%.

1. How long is the payback period for this project? Blank 1 years. Case sensitive. Type in 7.00 (two decimal places) for 7 years.
2. What is the NPV for this project? $Blank 2.  Case sensitive. Type in 120,000.00 (two decimal places) for $120,000.00, or -120,000.00 for negative $120,000.00.
3. What is the IRR for this project?  Blank 3%.  Case sensitive. Type in 20.00 (two decimal places) for 20%.

required rate of return is 11%

Questions

1.In a chi-squarer test, the sample data are called observed frequencies.

TRUE

FALSE

2. One advantage of chi-square tests is that they can be used when the data are measured on a nominal scale.

TRUE

FALSE

3.The chi- squarer distribution is

a.Positively skewed ,with no values less than zero

b. Negatively skewed, with no values greater than zero

c. Symmetrical centered at a value determined by the degrees of freedom

d. Symmetrical, centered at a value of zero

4. A researcher obtained a value of -8.00 for a chi-square statistic. What can you conclude?

a. The observed frequencies are larger than the expected frequencies

b. The researcher made a mistake. The value of chi –square cannot be negative

c. The expected frequencies are larger than the observed frequencies

d. There are large differences between the observed and expected frequencies.

5. A chi-square test for independence is used to evaluate the relationship between two variables. If one variable is classified into 4 categories and the other variable is classified into 3 categories, the the chi-square statistic will have how many degrees of freedom

a. 8

b. 6

c. 4

d.2

e. Cannot determine degree of freedom from the information given

6. The sample data for chi- square test of independence are called

a. Observed proportions

b.Observed frequencies

c.Expected proportions

d.Expected frequencies

e. None of the above

7. In the chi-square test for independence, the null hypothesis states that

a. There is no relationship between the two variables being examined

b. There is no linear relationship between the two variables being examined

c.There is no difference between the two variables being examined

d. There is a relationship between the two variables being examined

e. Thre is a linear relationship between the two variables being examined

8. By what other name is a chi-square contigency table analysis known?

a. Directional chi-square test

b. Paired samples chi-square test

c. Chi- square test for independence

d. One –sample chi-square test

e.Two-sample chi-square test

9. The chi-square test for independence assesses which of the following?

a.It assesses whether there is a relationship between the population and the sample

b. It assesses whether there is a significant difference between data taken at time 1 and data taken at time 2

c. It assesses whether there is a relationship between two categorical variables.

d. It assesses whether there is a significant difference between two categorical variables

e. It assesses whether there is a linear relationship between two categorical variables

Your client purchased 50,000 shares of P&G on February 4, 2018 at $79.92 per share. She also purchased these shares on margin, borrowing 50% of the purchase price of these shares. The margin interest rate is 2% per year, and the maintenance margin is 35%. She planned to sell her position on February 4, 2019.

She would have been subject to a margin call for a price $___?___ or lower. Assume the annual margin interest rate would apply regardless of the actual borrowing period. Round your answer into two decimal places.

Assume she sells her entire position at $98.15 per share a year later. Her return on this position over the last year will be ___?___%. Round your answer for two decimal places.