Glycine and proline are both non-polar amino acids, and both are very likely to be found at the surface of proteins. What physical characteristic of each is responsible for this observation?

1) Both glycine and proline are small.
2) Glycine is small, and proline is rigid.
3) The side chains of both these amino acids make favorable interactions with molecules near the surface of proteins.
4) Both amino acids make strong interactions with each other and therefore are likely to be found next to each other in a protein.

2. For each of the following, find all minimum sum of products expressions. (If there is more than one solution, the number of solutions is given in parentheses.)

a. f(a, b, c) Σm(1, 2, 3, 6, 7)

b. f(a, b, c, d) Σm(1, 2, 3, 5, 6, 7, 8, 11, 13, 15)

c. h(a, b, c, d) Σm(2, 4, 5, 6, 7, 8, 10, 12, 13, 15)

d. f(w, x, y, z) Σm(0, 1, 2, 4, 5, 6, 9, 10, 11, 13, 14, 15)

1. Let X1 and X2 be continuous distributions uniformly distributed across the region [0, 2] × [0, 2] U (2, 4] × (2, 4].

a) Find the joint probability density function as well as marginal probability density function of X1 and X2.

b) Prove that X1 and X2 are not independent by showing cov(X1, X2) != 0.

A company bought the available for sale investments during 2017 (no investments as of 12/31/16)

- they bought 200 shares of apple stock for $40,000 on 2/1/17

- they bought 100 treasury bonds at $1,000 par each with an 4% interest rate at 4/2/2017 (semi annual on 4/1 and 10/1)

- $50,000 of company B 9% bonds due 3/1/37, interest payable on 3/1. our company paid 50,000 plus accrued interest for these bonds on 7/1/17

Required:

1- prepare journal entries for 2017 for all purchases on the investments

2- prepare all the appropriate adjusting entries as of 12/31/17 for the investments, Fair Market Value as of 12/31/17

Company A C-Stock $42,000

Treasury bonds $104,000

Company B Bonds $51,000

3- The Treasury bonds were sold on 7/1/18 for $103,000 plus accrued interest . prepare the journal entry.

Q1: Let x = [ x(t) y(t) ] and consider the system of ODEs

x' = [5/2, 3; −3/4 ,−1/2] x.

(1)

1.1 Solve the initial value problem subject to x(0) = 1, y(0) = 1.

The following transactions and adjusting entries were completed by Legacy Furniture Co. during a three-year period. All are related to the use of delivery equipment. The double-declining-balance method of depreciation is used. Year 1 Jan. 4 Purchased a used delivery truck for $28,000, paying cash. Nov. 2 Paid garage $635 for miscellaneous repairs to the truck. Dec. 31 Recorded depreciation on the truck for the year. The estimated useful life of the truck is four years, with a residual value of $4,640 for the truck. Year 2 Jan. 6 Purchased a new truck for $49,400, paying cash. Apr. 1 Sold the used truck purchased on Jan. 4 of Year 1 for $15,180. (Record depreciation to date in Year 2 for the truck.) June 11 Paid garage $470 for miscellaneous repairs to the truck. Dec. 31 Recorded depreciation for the new truck. It has an estimated residual value of $9,470 and an estimated life of five years. Year 3 July 1 Purchased a new truck for $55,400, paying cash. Oct. 2 Sold the truck purchased January 6, Year 2, for $17,498. (Record depreciation to date for Year 3 for the truck.) Dec. 31 Recorded depreciation on the remaining truck purchased on July 1. It has an estimated residual value of $12,955 and an estimated useful life of eight years.

Journalize the transactions and the adjusting entries. Refer to the Chart of Accounts for exact wording of account titles. Scroll down to access pages 2 and 3 of the journal.

Journalize the Year 1 transactions and adjusting entries on Page 1.

PAGE 1

JOURNAL

ACCOUNTING EQUATION

Journalize the Year 2 transactions and adjusting entries on Page 2.

PAGE 2

JOURNAL

ACCOUNTING EQUATION

Journalize the Year 3 transactions and adjusting entries on Page 3.

PAGE 3

JOURNAL

ACCOUNTING EQUATION

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism, which he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results.

At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.

a. State the decision rule for 0.05 significance level: H₀ : μ_d≤ 0; H₁ : μ_d > 0. (Round the final answer to 3 decimal places.)

Reject H₀ if t >  .

b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)

Value of the test statistic            

c. Estimate the p-value? (Round the final answer to 4 decimal places.)

d. What is your decision regarding H₀?

At the 0.05 significance level,  (Click to select)  reject  do not reject  H₀.

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism, which he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results.

At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.

a. State the decision rule for 0.05 significance level: H₀ : μ_d≤ 0; H₁ : μ_d > 0. (Round the final answer to 3 decimal places.)

Reject H₀ if t >:

b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)

Value of the test statistic:

c. Estimate the p-value? (Round the final answer to 4 decimal places.)

d. What is your decision regarding H₀?

At the 0.05 significance level,  (select one)  reject / do not reject  H₀

Cash Receipts Budget and Accounts Receivable Aging Schedule

Shalimar Company manufactures and sells industrial products. For next year, Shalimar has budgeted the following sales:

In Shalimar’s experience, 10 percent of sales are paid in cash. Of the sales on account, 65 percent are collected in the quarter of sale, 25 percent are collected in the quarter following the sale, and 7 percent are collected in the second quarter after the sale. The remaining 3 percent are never collected. Total sales for the third quarter of the current year are $5,740,000 and for the fourth quarter of the current year are $7,680,000.

Required:

1. Calculate cash sales and credit sales expected in the last two quarters of the current year, and in each quarter of next year.

2. Construct a cash receipts budget for Shalimar Company for each quarter of the next year, showing the cash sales and the cash collections from credit sales. If an amount is zero, enter "0".

3. What if the recession led Shalimar’s top management to assume that in the next year 10 percent of credit sales would never be collected? The expected payment percentages in the quarter of sale and the quarter after sale are assumed to be the same. How would that affect cash received in each quarter? Construct a revised cash budget using the new assumption.

Cornerstone Exercise 8.11 (Algorithmic) Cash Receipts Budget and Accounts Receivable Aging Schedule Shalimar Company manufactures and sells industrial products. For next year, Shalimar has budgeted the following sales: Quarter 1 $4,700,000 Quarter 2 5,230,000 Quarter 3 6,680,000 Quarter 4 8,590,000 In Shalimar’s experience, 10 percent of sales are paid in cash. Of the sales on account, 65 percent are collected in the quarter of sale, 25 percent are collected in the quarter following the sale, and 7 percent are collected in the second quarter after the sale. The remaining 3 percent are never collected. Total sales for the third quarter of the current year are $5,710,000 and for the fourth quarter of the current year are $7,170,000. Required: 1. Calculate cash sales and credit sales expected in the last two quarters of the current year, and in each quarter of next year. Quarter Cash Sales Credit Sales 3, current year $ $ 4, current year 1, next year 2, next year 3, next year 4, next year 2. Construct a cash receipts budget for Shalimar Company for each quarter of the next year, showing the cash sales and the cash collections from credit sales. If an amount is zero, enter "0". Shalimar Company Cash Receipts Budget For the Coming Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Cash sales $ $ $ $ Received on account from: Quarter 3, current year Quarter 4, current year Quarter 1, next year Quarter 2, next year Quarter 3, next year Quarter 4, next year Total cash receipts $ $ $ $ 3. What if the recession led Shalimar’s top management to assume that in the next year 10 percent of credit sales would never be collected? The expected payment percentages in the quarter of sale and the quarter after sale are assumed to be the same. How would that affect cash received in each quarter? Construct a revised cash budget using the new assumption. Shalimar Company Cash Receipts Budget For the Coming Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Cash sales $ $ $ $ Received on account from: Quarter 4, current year Quarter 1, next year Quarter 2, next year Quarter 3, next year Quarter 4, next year Total cash receipts $ $ $ $