4.2      The average age of a sample of 17 South African women who attend yoga classes was found to be 31 years, with a standard deviation of 3.5 years. Construct a 90% confidence interval for the true average age of all South African women who attend yoga classes. Interpret your answer.

4. Suppose you are named the new Secretary of Economy of the United States of America. You are interested in investing in a project with great returns to the economy, so you are advised to focus on early childhood education investments, since it is shown they increase productivity and earnings in the economy in the long run. In order to fulfill your project, you need to construct a new school in each county, using two factors of production: capital (K) and labor (L). Let the rental rate of capital ber and the wage bew. Output(a new school)(q)is produced according to the following production function: F(K,L) = (K1 4 +L1 4)4

(a) Are capital and labor complementary factors of production? Prove you answer. (2 points)

(b) Now, suppose the production function is: F(K,L) = K1 2L1 2

Does labor have a diminishing marginal product? Prove your answer. (2 points)

(c) Write down the cost minimization problem for the function specified in part (a). What are the optimal levels for capital and labor that minimize the cost of the program? What is the cost function? (8 points)

i. L(q) =

ii. K(q) =

iii. C(q) =

(d) Solve for the marginal cost function using your result from the previous part.

In the first paragraph, examine the roles of native tribes in the American Revolution and what they hoped to receive from their activity.

In the second paragraph, describe the American exceptionalism and nationalism grew out of the Revolution.

This is american history.

On October 1, Ebony Ernst organized Ernst Consulting; on October 3, the owner contributed $83,220 in assets in exchange for its common stock to launch the business. On October 31, the company’s records show the following items and amounts.  

Using the above information prepare an October income statement for the business.

On October 1, Ebony Ernst organized Ernst Consulting; on October 3, the owner contributed $83,220 in assets in exchange for its common stock to launch the business. On October 31, the company’s records show the following items and amounts.  

Using the above information prepare an October 31 balance sheet for Ernst Consulting.

1. On October 1, the accounts receivable account balance was $208,400. During October, $298,500 was collected from customers on account. Assuming the October 31 balance was $125,300, determine the fees billed to customers on account during October.

2. On November 30, the company accountant discovers that $550 of a transaction recording the purchase of office supplies was really office equipment. Prepare the journal entry to correct this situation.

3. State for each account whether it is likely to have (a) debit entries only, (b) credit entries only, or (c) both debit and credit entries when recording business transactions during the month.  Also, indicate the normal balance of each account.

4. On December 1, JumpStart Company provides $2,800 in services to clients.

(a) Journalize this event as if the clients had paid cash at the time the services were rendered.

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(b)(1) Journalize this event as if the clients had been rendered the services on account.

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(b)(2) Assume that the clients paid $1,200 of the amount on account on December 30. Journalize this transaction.

5. Prepare a journal entry for the purchase of a truck on April 4 for $85,700, paying $15,000 cash and the remainder on account. Omit explanation.

6. On August 30, JumpStart incurred the following expenses:

         Payment to the landlord for August rent, $2,300

         Payment to the Gas & Electric Company for August’s bill, $525

         Payment of employee wages for the last half of August, $1,750

         Payment of shopping center’s parking lot cleaning fee, $275

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Journalize these payments as one journal entry.

7. On December 1, Nikle Company made a cash payment of $200,000 on a note payable that was generated in the purchase of a building and land. Provide the journal entry for this transaction.

8. On January 31, the cash account balance was $96,750.  During January, cash receipts totaled $305,000 and cash payments totaled $375,880.  Determine the cash balance on January 1.

Apple graph of stock price between October 9th and October 30th

Your reasoning for the change in stock price

A brief (one paragraph) summary of two news stories on the company(In this case is Apple) during the October 9^th to November 2^nd period

A. Grove Corporation issued Dh 720,000 of 8% bonds on October 1, 2016, due on October 1, 2021. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 10% effective annual interest. Grove Corporation closes its books annually on December 31.

Instructions

Complete the following amortization schedule for the dates indicated. (Round all answers to the nearest dollar.) Use the effective-interest method.

B.Amsterdam Antiques reported the following comparative income figures in 2018

Your boss, the president of Amsterdam bank, is concerned about Amsterdam's borrowing capacity. A

representative of Amsterdam Antiques feels that there should be no problem, since net income are the

same with slightly higher sales.

Required:

Compute times interest earned and comment on the bank's position

On October 1, Ebony Ernst organized Ernst Consulting; on October 3, the owner contributed $82,890 in assets to launch the business. On October 31, the company’s records show the following items and amounts.

Using the above information prepare an October statement of owner's equity for Ernst Consulting.