The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.4 pounds, what is the probability that the sample mean will be each of the following?
Appendix A Statistical Tables

a. More than 58 pounds
b. More than 57 pounds
c. Between 55 and 57 pounds
d. Less than 53 pounds
e. Less than 49 pounds

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

Below is the information relating to The Funny Guys Ltd for the year ended 31 December 2019:

The Funny Guys Ltd

Comparative Statement of financial positions

as at 31 December 2019

                                                                                      2019                             2018

Assets

Cash                                                                           $1,885                          $2,875

Accounts receivable                                                   44,650                          29,250

Merchandise inventory                                              60,950                          51,325

Investments (long term)                                            40,300                          43,500

Property, plant, and equipment                               125,000                        112,500

Accumulated depreciation                                       (24,750)                        (20,000)

Total assets                                                         $248,035                       $219,450

Liabilities and Equity

Accounts payable                                                    $26,350                        $24,140

Income tax payable                                                    3,635                                   0

Accrued expenses                                                      6,050                            9,415

Share capital                                                           125,000                        125,000

Retained earnings                                                     87,000                          60,895

Total liabilities and equity                                  $248,035                      $219,450

The Funny Guys Ltd

Statement of comprehensive income

for the year ended 31 December 2019

Sales                                                                                                           $150,000

Less:

Cost of sales                                                              49,730                                     

Operating expenses (excluding depreciation)             7,335

Depreciation expense                                                $4,750

Interest expense                                                          2,720                          64,535

Income before income taxes                                                                           85,465

Income tax expense                                                                                          3,635

Profit after income tax                                                                                  $ 81,830

Additional data:

1. New equipment and machinery were purchased for cash during the year.
2. Investments were sold at cost.
3. There were not sales of equipment and machinery.
4. Accounts payable pertain to merchandise inventory creditors.

Required:

Prepare a Statement of cash flows for The Funny Guys Ltd for the year ended 31 December 2019 using the direct method.

The Allwardt Trust is a simple trust that correctly uses the calendar year for tax purposes. Its income beneficiaries (Lucy and Ethel) are entitled to the trust's annual accounting income in shares of one-half each.

For the current tax year, Allwardt reports the following.

a. How much income is each beneficiary entitled to receive?
$ 322,500

b. What is the trust's DNI?
$

c. What is the trust's taxable income?
$

d. How much gross income is reported by each of the beneficiaries?
$

In December 20.8, Finch Limited was planning its financial needs for the coming year.

As a first indication, the firm’s management required a pro forma Statement of Financial Position as at 31 December 20.9 to gauge the financial needs at that time.

Estimated financial condition as at 31 December 20.8 was reflected in this Statement of Financial Position :

Additional information

Note : Please show all workings

Operations for the following year were projected using the following working assumptions to plan the financial results:

• Sales (all credit) were forecast at R20 900 000, with a gross margin of 8.2%.

• Purchases (all credit) are expected to total R19 450 000.

• Accounts receivable would be based on a collection period of 12 days, while 24 days accounts payable

  would be outstanding.

• Depreciation is expected to be R62 800 for the year.

• A mortgage loan repayment of R20 000 is expected to be made.

• Other current liabilities will be allowed to fluctuate with seasonal needs.

• Capital expenditures were scheduled at R42 000 for a delivery van and R72 000 for warehouse

  improvements.

• Profit after tax is expected at a level of 0.19% of sales.

• Dividends for the year were scheduled at R25 000.

• Cash balances are desired to be no less than R300 000.

Use Matlab to write the following

1. Write code to determine whether a year is a leap year. Use the mod function. The rules for determining leap years in the Gregorian calendar are as follows:

All years evenly divisible by 400 are leap years.

Years evenly divisible by 100, but not by 400, are not leap years.

Years divisible by 4, but not by 100, are leap years.

All other years are not leap years.

For example, the years 1800, 1900, 2100, 2300 and 2500 are not leap years, but 2400 is a leap year.

2. Solve the following:

a. Use a for loop to determine the sum of the first 10 terms in the series 5k³, where k=1,2,3,...,10. Report your answer to the Command Window.

b. Repeat part (a) without using a loop.

A company had an increase in interest payable during the year and also amortized discount on bonds payable. Under the direct method, the amount of interest paid during the year to be reflected in the statement of cash flows is

a) interest expense plus the increase in interest payable minus the discount amortization

b) interest expense plus the increase in interest payable plus the discount amortization

c) interest expense minus the increase in interest payable plus the discount amortization

d) interest expense minus the increase in interest payable minus the discount amortization

The net income reported on the income statement for the current year was $121,600. Depreciation recorded on store equipment for the year amounted to $20,100. Balances of the current asset and current liability accounts at the beginning and end of the year are as follows:

a. Prepare the Cash Flows from Operating Activities section of the statement of cash flows, using the indirect method. Use the minus sign to indicate cash out flows, cash payments, decreases in cash, or any negative adjustments.

b. Cash flows from operating activities differs from net income because it does not use the (Actual basis/cash basis)of accounting. For example, revenues are recorded on the income statement when (They are earned/cash is received)  

The mean selling price of senior condominium in Green Valley over a year was $215,000. The population standard deviation was $25,000. A random sample of 100 new unit sales was obtained

a. What is the probability that the sample mean selling price was more than $210,000?

b. What is the probability that the sample mean selling price was between $213,000 and $217,000?

c. What is the probability that the sample mean selling price was between $214,000 and $216,000?

d. Without doing the calculations, state in which of the following ranges the sample mean is most likely to lie: $213,000–$215,000; $214,000–$216,000; $215,000–$217,000, or $216,000–$218,000.

e. Suppose that, after you had done these calculations, a friend asserted that the population distribution of selling prices of senior condominiums in Green Valley was almost certainly not normal. How would you respond?

Thomlin Company forecasts that total overhead for the current year will be $12,464,000 with 152,000 total machine hours. Year to date, the actual overhead is $8,299,800, and the actual machine hours are 95,400 hours. If Thomlin Company uses a predetermined overhead rate based on machine hours for applying overhead, as of this point in time (year to date), the overhead is

a.$283,000 underapplied

b.$477,000 overapplied

c.$283,000 overapplied

d.$477,000 underapplied