A social scientist would like to analyze the relationship between educational attainment and salary. He collects the following sample data, where Education refers to years of higher education and Salary is the individual’s annual salary (in $1,000s):

Education 3 4 6 2 5 4 8 0

Salary 40 53 80 42 70 50 110 38 Data is in the spreadsheet. What is the predicted salary for an individual who completed 7 years of higher education? (Do not round the Excel coefficients-use all the decimal places Excel gives you. Round your final answer to a whole number, and express in thousands of dollars. If your final answer was 67.95328102, you would round to a whole number, 68, and express the salary in thousands of dollars: 68,000. Do NOT include the dollar sign in your answer.)

Gladstone Corporation is about to launch a new product. Depending on the success of the new? product, Gladstone may have one of four values next? year: $ 153 ?million, $ 139 ?million, $ 95 ?million, and $ 79 million. These outcomes are all equally? likely, and this risk is diversifiable. Suppose the? risk-free interest rate is 5 % and? that, in the event of? default, 30 % of the value of? Gladstone's assets will be lost to bankruptcy costs.? (Ignore all other market? imperfections, such as? taxes.)

a. What is the initial value of? Gladstone's equity without? leverage? Now suppose Gladstone has? zero-coupon debt with a $ 100 million face value due next year. round to two decimal place

b. What is the initial value of? Gladstone's debt? round to two decimal place

c. What is the? yield-to-maturity of the? debt %? round to two decimal place .

What is its expected? return % ?   round to the nearest integer

d. What is the initial value of? Gladstone's equity? round to two decimal place

What is? Gladstone's total value with? leverage? round to two decimal place

Suppose Gladstone has 10 million shares outstanding and no debt at the start of the year.

e. If Gladstone does not issue? debt, what is its share? price? round to the nearest cent

f. If Gladstone issues debt of $ 100 million due next year and uses the proceeds to repurchase? shares, what will its share price? be? round to nearest cent

Why does your answer differ from that in part ?(e?)?

Exercise 7-28 (Algo) Receivables; transaction analysis [LO7-3, 7-5, 7-6, 7-7, 7-8]

Weldon Corporation’s fiscal year ends December 31. The following is a list of transactions involving receivables that occurred during 2021:

• 1

  Accounts receivable of $3,100 were written off as uncollectible. The company uses the allowance method.

• 2

  Loaned an officer of the company $39,000 and received a note requiring principal and interest at 8% to be paid on March 30, 2022.

• 3

  Record the accrued interest revenue on the discounted note.

• 4

  Record the cash received on the discounted note.

• 5

  Sold merchandise to the Blankenship Company for $26,000. Terms of the sale are 3/10, n/30. Weldon uses the gross method to account for cash discounts.

• 6

  The Blankenship Company paid its account in full.

• 7

  Sold stock with a book value of $6,400 and accepted a $7,400 noninterest-bearing note with a discount rate of 9% due on February 28, 2022.

• 8

  To record the accrual of interest earned on note receivable.

• 9

  To record the accrual of bad debt expense.

You have seven mornings per week. On each morning, you can either study, go to the rock climbing wall, or sculpt (i.e., make sculptures). If you rock climb, you must be a member of the club. The membership fee is 100 Bobos each week. And, as member, you pay 10 Bobos for each morning of climbing. If you sculpt, you must rent a studio which costs 100 Bobos per month. Each morning you sculp, you use 10 Bobos worth of material.

Your economics professor has asked you to produce a table showing your marginal cost for each of 7 mornings you might sculpt during a normal week.

ble and why the values you wrote down make
sense. Provide your answers in sections labelled
The Table
The Explanation

Assume that in October, you rationally climbed two times per week and sculpted three times per week. In November, you know that the daily climbing price will be 5 bobo per morning. Explain, using the costs and benefits of sculping, how you will decide whether to rent
a studio in November. Provide your answer in a section labelled
November

Assume that in March you rationally climbed two times per week and sculpted three times per week. A climber from out of town is willing to pay you 50 Bobos per week for your April membership. If you sell, you cannot climb. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled
April

Assume that the following March, you rationally climbed two times per week and sculpted three times per week. In April the membership fee for the climbing club will increase 150 bobos per week. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled
April, redux

C program with functions

Make a dice game with the following characteristics:

must be two players with two dice.

when player 1 rolls the marker is annotated

when player 2 rolls the marker is annotated

in other words, for each roll the added scores must be shown.

Example:

Round 1:

player 1 score = 6

player 2 score = 8

Round 2:

player 1 score = 14

player 2 score = 20

Whoever reaches 35 points first wins.

if a player goes over 35 points, the last shot does not count, example:

If a player is at 30 points and when he rolls the two dice he gets 6 points, the sum (30 + 6) would be 36, it goes over 35 so that throw does not count and the score remains at 30.

Whoever gets double 3 or double 5 loses automatically.

7. How many different ways can the letters in “COUNT” be arranged? 8. How many different ways can the letters in “PROBABILITY” be arranged?

9. A pizza restaurant offers 15 different toppings, but only allows customers to select up to four different toppings for each pizza. How many different ways are there for customers to choose up to four toppings for a pizza?

10. A youth soccer team consists of 12 players. When they have games, they play simultaneously on two fields, so the team is divided into two groups of 6. How many ways can the 12 players be divided into two groups of six players if we only care which players are grouped together? Thanks!

Indicate if the following statements are true or false. For false statements, explain why the statement is false or give the correct answer.(1 point each)

6. A simple attribute can be broken down into smaller components.

7. The relationship between a weak and strong entity is called a multiple relationship.

8. An identifier is a combination of two or more attributes from two tables.

9. A unary relationship must have mandatory many cardinality on both sides.

10. If two entities are related many to many, we take the primary key of each entity and make it a foreign key in the other.

11. Compare and contrast overlap rule and disjoint rule. Compare and contrast total and partial specialization. (2.5+2.5=5 points total)

3. Probability+ Central Limit Theorem questions:

a. The return on investment is normally distributed with a mean of 10% and a standard deviation of 5%. What is the probability of losing money?

b. An average male drinks 2 liter of water when active outdoor (with a standard deviation of 0.7). An organization is planning for a full day outdoor for 50 men and will bring 110 liter of water. What is the probability that the organization will run out of water? (8)

c. The lifetime of a certain battery is normally distributed with a mean of 10 hours and standard deviation of 1 hour. There are 4 such batteries in the package.

i. What is the probability that the lifetime of all 4 batteries exceed 11 hours?

ii. What is the probability that the total lifetime of all 4 batteries will exceed 44 hours.

A random sample of 8 drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums:

a. Make a scatter plot of the data

b. Calculate the correlation coefficient

c. Calculate a simple linear regression with Premium as the dependent variable and Experience as the independent variable

d. Is there a relationship between Driving Experience and Insurance Premium? Describe the relationship.

e. Predict the Monthly Auto Insurance Premium for a driver with 10 years of driving experience.

Suppose we have N = 6 values from a population. These values are 4, 8, 0, 10, 14 and 6. Let μ and σ denote the population mean and population standard deviation of these six values, respectively.

(a) What are the values of μ and σ, respectively?

μ = 4.8580; σ = 7

μ = 7; σ = 4.8580

μ = 7; σ = 4.4347

μ = 7; σ = 19.6667

μ = 7; σ = 23.6

(b) What percentage of the six population values stated above, fall within the interval (μ - σ, μ + σ) ?

66.66%

100%

50%

83.33%

16.66%

Consider a 42-ball lottery game. In total there are 42 balls numbered 1 through to 42 inclusive. Three balls are drawn (chosen randomly), one at a time, without replacement (so that a ball cannot be chosen more than once). To win the grand prize, a lottery player must have the same numbers selected as those that are drawn. The order of the numbers is not important so that if a lottery player has chosen the combination 20, 21, 22 and, in order, the numbers 21, 20, 22 are drawn, then the lottery player will win the grand prize (to be shared with other grand prize winners). You can assume that each ball has exactly the same chance of being drawn as each of the others.

(a) Consider the 42-ball lottery game described above. In how many different ways can you select a sample of three balls from a population of 42 balls?

1654895

14

105900

11480

42

(b) Consider the 42-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 20 and 21 but NOT the number 23?

40

14

42

3

39