1) On January 1 of this year, Shannon Company completed the following transactions (assume a 8% annual interest rate): (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.)

1. Bought a delivery truck and agreed to pay $60,200 at the end of three years.
2. Rented an office building and was given the option of paying $10,200 at the end of each of the next three years or paying $28,200 immediately.
3. Established a savings account by depositing a single amount that will increase to $90,400 at the end of seven years.
4. Decided to deposit a single sum in the bank that will provide 8 equal annual year-end payments of $40,200 to a retired employee (payments starting December 31 of this year).

d. What single sum must be deposited in the bank on January 1 of this year? (Round your answer to nearest whole dollar.)

2) An investment will pay $15,600 at the end of each year for eight years and a one-time payment of $156,000 at the end of the eighth year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.)

Determine the present value of this investment using a 7% annual interest rate. (Round your answer to the nearest whole dollar.)

A copper ball of temperature 100 °C is immersed to a water bath of 50 °C. After 10 minutes the temperature of the ball is 80 °C and the temperature of the water is 60 °C. You may assume that Newton’s Law of Cooling is obeyed and all the heat lost by the ball is absorbed by the water. Find the equilibrium temperature of the ball as a function of time.

From a cross-sectional life table provided, please answer the following questions below: Age group nQx lx ndx Lx Tx ?? 0-4 0.02592 100000 5-9 0.0042 10-14 0.00232 15-19 0.00201 20-24 0.00443 25-29 0.00611 30-34 0.00632 35-39 0.00654 40-44 0.01098 45-49 0.01765 50-54 0.02765 55-59 0.04387 60-64 0.05987 65-69 0.09654 70-74 0.13654 75-79 0.18765 80-84 0.47898 85-89 0.57908 90+ 1 (a) Calculate the following column heading: lx, ndx ,Lx ,Tx and ex [12 marks] (b) What age would you expect a person to live (on average) once he/she has attained the age of 15 years? [3 marks] Question 2 [25 marks]

An alternating annuity pays $1 in one year, −$2 in two years, $4 in three years, −$8 in four years, which each subsequent payment doubling and changing sign for 20 years. If the risk-free discount rate is 5%, what is the value of this alternating annuity?

Assume that the market rate of interest rises from 6% to 12%. Which one of the following two bonds would have higher price risk? Show your work.

1. An 8-year 9% annual coupon rate bond
2. A 10-year zero coupon bond

question: Draw a MPLS diagram with the following requirements: [ 2 + 8 = 10 marks]

1. 10 IPv6 routers: 4 routers in one segment, 3 routers in second segment, 1 router to connect these two segments

2. Explain MPLS operation in above network.

Instructions: For each of the following research designs, identify the dependent and independent variables.

1. To investigate the effects of exercise on mathematical problem-solving ability, a researcher assigned subjects to one of two groups. One group did 50 jumping jacks and the other group did 200. After exercising, both groups did a set of math problems,

2. A researcher hypothesized that talking to plants enhances their growth. To test her hypothesis, she gave two plants the same amount of food, water, and sunlight, but she talked to one plant and not the other.

3. In order to study the relationship between neonatal exercise and motor development, a professor randomly assigns 50 one-week-old infants to Group A or Group B. The 25 infants in Group A participate in a daily 15-minute exercise program. The infants in Group B are not exposed to anything beyond their normal daily activities. Twice a month for an entire year, subjects from both groups are given a motor-skills test.

4. An experimenter wants to study the relationship between breast-feeding and Infant Formula X in underdeveloped countries. She randomly assigns 300 infants to Group A or B and weights the infants every three days for the first four weeks of life.

5. Two groups of subjects were told they were going to receive electric shocks as part of a learning experiment. One group was told that the shocks would be relatively painful. The other group was told that the shocks would be mild and produce a gtickling sensation.h The subjects were then asked if they wished to wait individually or with a group while the shock machinery was being set up.

6. One half of the General Psychology students completed computerized instruction exercises. The remaining half spent an equal amount of time reviewing the text and lecture notes. Both groups were tested on the course information.

Low-fat or low-carb? Are low-fat diets more effective for weight loss? A sample of

58

subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was

3.2

kilograms with a sample standard deviation of

5.42

kilograms. A second sample of

60

subjects went on a low-fat diet. Their sample mean weight loss was

2.4

kilograms with a standard deviation of

4.48

kilograms. Can you conclude that the mean weight loss differs between the two diets? Let

μ1

denote the mean weight lost on the low-carb diet and

μ2

denote the mean weight lost on the low-fat diet. Use the

=α0.05

level and the

P

-value method.

Part 1 of 6

Your Answer is correct

State the appropriate null and alternate hypotheses.

Part 2 of 6

Your Answer is incorrect

Compute the test statistic. Round the answer to three decimal places.

=t

4.826

Correct Answer:

=t0.872

Part: 2 / 6

2 of 6 Parts Complete

Part 3 of 6

How many degrees of freedom are there, using the simple method?

A one-way within-subjects ANOVA was carried out on a set of data with 4 groups of 6 subjects each. The responses are presented in the following table:

1. Complete the ANOVA table (show the work as well)

2. Find and report the critical value(s) and make the statistical decision for F statistic; and perform post-hoc test, if applicable.

Easy Car Corp. is a grocery store located in the Southwest. Next year dividend is ​$2.00 and plans to increase the dividend annually at the rate of 3.0​%. It currently has 1,000,000 common shares outstanding. The shares currently sell for ​$10 each. Two years ago, Easy Car Corp. issued 40,000 semiannual 20-year bonds with a coupon rate of 8​% and a par value of ​$1,000. The bonds currently have a yield to maturity​ (YTM) of 11%. What is the weighted average cost of capital (WACC) for Easy Car Corp. if the corporate tax rate is 40%?

When answering this problem enter your answer using percentage notation but do not use the % symbol and use two decimals (rounding). For example, if your answer is 0.10469 then enter 10.47; if your answer is 10% then enter 10.00