Myers Company uses a flexible budget for manufacturing overhead based on direct labor hours. Variable manufacturing overhead costs per direct labor hour are as follows.

Indirect labor $1.00
Indirect materials 0.70
Utilities 0.20

Fixed overhead costs per month are Supervision $4,000, Depreciation $1,000, and Property Taxes $500. The company believes it will normally operate in a range of 7,000–10,600 direct labor hours per month. Prepare a monthly manufacturing overhead flexible budget for 2017 for the expected range of activity, using increments of 1,200 direct labor hours.

Answers

Answer 1

Answer:

Myers Company

A Monthly Manufacturing Overhead Flexible Budget for 2017:

Operating Ranges           Per Hour    7,000      8,200     9,400     10,600

Variable costs:

Indirect labor                   $1.00        $7,000    $8,200   $9,400   $10,600

Indirect materials              0.70          4,900      5,740      6,580       7,420

Utilities                              0.20           1,400       1,640       1,880       2,120

Total variable costs                        $13,300  $15,580   $17,860   $20,140

Fixed overhead costs per month:

Supervision    $4,000                       4,000      4,000      4,000       4,000

Depreciation   $1,000                       1,000       1,000       1,000        1,000

Property Taxes $500                         500         500         500           500

Total fixed costs                            $5,500   $5,500    $5,500     $5,500

Total costs                                    $18,800  $21,080  $23.360   $25,640

Explanation:

a) Data and Calculations:

Variable manufacturing overhead costs per direct labor hour:

Indirect labor                   $1.00

Indirect materials              0.70

Utilities                              0.20

Total variable per unit = $1.90

Fixed overhead costs per month:

Supervision    $4,000

Depreciation   $1,000

Property Taxes $500

Operation range of direct labor hours = 7,000 - 10,600

Increments of direct labor hours = 1,200


Related Questions

The accounting records of Jamaican Importers, Inc., at January 1, 2021, included the following: Assets: Investment in IBM common shares $ 1,345,000 Less: Fair value adjustment (145,000) $ 1,200,000 No changes occurred during 2021 in the investment portfolio.
Prepare appropriate adjusting entry(s) at December 31, 2021, assuming the fair value of the IBM common shares was:_____.
1, $ 1,175,000
2, $ 1,275,000
3, $ 1,375,00

Answers

Answer: See explanation

Explanation:

The appropriate adjusting entry(s) at December 31, 2021, given the fair value of the IBM common shares are represented below:

1. 31, December 2021

Dr Unrealized holding gain or loss - NI $25,000

Cr To Fair value adjustment $25,000

(To record adjustment to fair value)

2. 31, December 2021

Dr Fair value adjustment $75,000

Cr To Unrealized holding gain or loss - NI $75,000

(To record adjustment to fair value)

3. 31, December 2021

Dr Fair value adjustment $175,000

Cr To Unrealized holding gain or loss - NI $175,000

(To record adjustment to fair value)

Ship Co. produces storage crates that require 29.0 meters of material at $0.50 per meter and 0.35 direct labor hours at $13.00 per hour. Overhead is applied at the rate of $14 per direct labor hour. What is the total standard cost for one unit of product that would appear on a standard cost card

Answers

Answer:

Total standard cost per unit= $23.95

Explanation:

First, we need to allocate overhead:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 14*0.35= $4.9

Now, the total direct material and total direct labor:

Direct material= 29*0.5= $14.5

Direct labor= 0.35*13= $4.55

Finally, the total cost per unit:

Total standard cost per unit= 4.9 + 14.5 + 4.55

Total standard cost per unit= $23.95

Calculate the total Social Security and Medicare tax burden on a sole proprietorship earning 2020 profit of $300,000, assuming a single sole proprietor with no other earned income.

Answers

Answer: $25,802.70

Explanation:

Social security

Social security rates in 2020 for a single sole proprietor is 12.40% on the first $137,700:

= 12.40% * 300,000

= $17,074.80

Medicare Tax

First you need to remove a deduction of 7.65% from the income:

= 300,000 * (1 - 7.65%)

= $277,050

Medicare tax is 2.90% of this adjusted amount in addition to 0.9% for any amount above $200,000:

= (2.90% * 277,050) + (0.9% * (277,050 - 200,000))

= 8,034.45 + 693.45

= $8,727.90

Total Social security and Medicare:

= 17,074.80 + 8,727.9

= $25,802.70

The language of price controls
Suppose that, in a competitive market without government regulations, the equilibrium price of milk is $2.50 per gallon.
Complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it is binding or non-binding.
Statement Price Control Binding or Not
The government prohibits grocery stores from selling
milk for more than $2.30 per gallon.
The government has instituted a legal minimum price
of $2.30 per gallon for milk.
Due to new regulations, grocery stores that would like
to pay better wages in order to hire more workers are
prohibited from doing so.

Answers

Answer:

Price ceiling binding

price floor non binding

price ceiling binding

Explanation:

A price floor is when the government or an agency of the government sets the minimum price of a product. A price floor is binding if it is set above equilibrium price.

The minimum price is $2.30 which is less than the equilibrium price of $2.50. Thus, its a non binding price floor

Price ceiling is when the government or an agency of the government sets the maximum price for a product. It is binding when it is set below equilibrium price.

Effects of a binding price ceiling

1. It leads to shortages

2. it leads to the development of black markets

3. it prevents producers from raising price beyond a certain price

4. It lowers the price consumers pay for a product. This increases consumer surplus

the maximum price is 2.30 which is less than the equilibrium price of $2.50. Thus, its a binding price ceiling

A company purchased $10,300 of merchandise on June 15 with terms of 2/10. n/45, and FOB shipping point. The freight charge, $650, was added to the .amount. On June 20, it returned $1,040 of that merchandise. On June 24, it paid the balance owed for the merchandise taking any discount it is entitled to. The cash paid on June 24 equals:_________
a. $9,224.
b. $10,590
c. $10.950.
d. $10.690.
e. $9,725.

Answers

b should be that correct answer

What is the answer to this question? B or C?​

Answers

Answer:B

Explanation: everything had a code of ethics.

A company must repay the bank $10,000 cash in three years for a loan. The loan agreement specifies 8% interest compounded annually. The present value factor for three years at 8% is 0.7938. How much cash did the company receive from the bank on the day they borrowed this money?
A. $12,400.
B. $9,200.
C. $7,938.
D. $7,600.
E. $10,000.

Answers

Answer: C. $7,938

Explanation:

This is a straightforward question. From the question, we are informed that a company must repay the bank $10,000 cash in three years for a loan and that the loan agreement specifies 8% interest compounded annually and we are given the present value factor for three years at 8% is 0.7938.

Therefore, the amount of cash that the company receive from the bank on the day they borrowed this money will be:

= $10000 × Present value factor at 8%

= $10000 × 0.7938

= $7938

If demand is not uniform and constant, then stockout risks can be controlled by: increasing the EOQ. spreading annual demand over more frequent, but smaller, orders. raising the selling price to reduce demand. adding safety stock. reducing the reorder point.

Answers

Answer: Adding safety stock

Explanation:

A stockout is when the orders of the customer for a particular product is more than the amount of inventory that is kept on hand and this leads to lost sales, and a negative impact on the long-term relationship with the customer.

Since the demand is not uniform and constant, then stockout risks can be controlled by adding safety stock. The safety stock is asimply the additional quantity of an item which is held in the inventory in order to help to reduce stockout risk.

Budgeted Actual Overhead cost $909,000 $884,000 Machine hours 55,000 46,000 Direct labor hours 101,000 98,000 Overhead is applied on the basis of direct labor hours. (a) Compute the predetermined overhead rate. (Round answer to 2 decimal places, e.g. 12.25.)

Answers

Answer:

Missing word "(b) Determine the amount of overhead applied for the year?"

1. Predetermined overhead rate = Budgeted overhead / Budgeted direct labor hours

Predetermined overhead rate = $909,000 / 101,000

Predetermined overhead rate = $9 per DLH

2. Overhead applied = Actual hours * Overhead rate

Overhead applied = 98,000 * $9 per DLH

Overhead applied = $882,000

Vortex Company operates a retail store with two departments. Information about those departments follows:

Department A Department B
Sales $832,000 $448,000
Cost of goods sold 410,000 291,200
Direct expenses:
Salaries 117,000 86,000
Insurance 13,500 10,900
Utilities 21,000 25,500
Depreciation 18,000 13,500
Maintenance 6,400 5,200

The company also incurred the following indirect costs.

Salaries $29,000
Insurance 6,600
Depreciation 14,800
Office expenses 40,000

Indirect costs are allocated as follows: salaries on the basis of sales; insurance and depreciation on the basis of square footage; and office expenses on the basis of number of employees. Additional information about the departments follows.

Department Square footage Number of employees
A 29,400 66
B 12,600 44

Required:
a. Determine the departmental contribution to overhead and the departmental net income for department A and Department B.
b. Should Department B be eliminated?

Answers

Answer:

Vortex Company

                                Department A       Department B

a. Contribution margin   $246,100                 $15,700

Net income                     $188,270                ($16,870)

b. Department B should not be eliminated unless the indirect costs allocated to it can be eliminated as well.

Explanation:

a) Data and Calculations:

                                Department A       Department B

Sales                            $832,000              $448,000

Cost of goods sold        410,000                 291,200

Gross profit                 $422,000              $156,800

Direct expenses:

Salaries                           117,000                  86,000

Insurance                         13,500                   10,900

Utilities                             21,000                  25,500

Depreciation                    18,000                   13,500

Maintenance                     6,400                    5,200

Total direct expenses $175,900                $141,100

Contribution margin   $246,100                 $15,700

Total indirect expenses  57,830                 32,570

Net income                 $188,270               ($16,870)

Department   Square footage   Number of employees

A                             29,400                         66

B                              12,600                         44

Total                       42,000                        110

Indirect Costs:       Costs            Rates            Department A   Department B

Salaries               $29,000   $0.02266                $18,850            $10,150 ($448/$1,280)

Insurance                6,600     $0.15714                    4,620                1,980

Depreciation          14,800   $0.35238                  10,360                4,440

Office expenses  40,000      $363.64                 24,000              16,000

Total costs         $90,400                                   $57,830           $32,570

Year 2 Year 1 Sales $86,060 $74,200 Total assets at the end of the year 63,800 68,600 Total assets at the beginning of the year 68,600 79,800 a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.

Answers

Answer:

a. We have:

Year 2 asset turnover = 1.3 times

Year 1 asset turnover = 1.0 time

b. Since asset turnover of the ABC Depot increases from 1.0 time in Year 1 to 1.3 times in Year 2, these turnover therefore indicate that the ability of The ABC Depot to use its assets to generate sales more effectively has increased/improved.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

The ABC Depot reported the following data (in millions) in its recent financial statements:

                                                                               Year 2            Year 1

Sales                                                                    $86,060        $74,200

Total assets at the end of the year                      63,800          68,600

Total assets at the beginning of the year           68,600          79,800

a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.

b.  What do these turnover indicate concerning the trend in the ability of The ABC Depot to effectively use its assets to generate sales?

The explanation of the answers is now provided as follows:

a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.

The asset turnover can be calculated using the following formula:

Asset turnover = Sales / Average total assets ………………… (1)

Where:

Average total assets = (Total assets at the beginning of the year + Total assets at the end of the year) / 2

Using equation (1), we therefore have:

Year 2 asset turnover = $86,060 / (($68,600 + $63,800) / 2) = 1.3 times

Year 1 asset turnover = $74,200 / (($79,800 +$ 68,600) / 2) = 1.0 time

b.  What do these turnover indicate concerning the trend in the ability of The ABC Depot to effectively use its assets to generate sales?

A higher asset turnover indicates that a company is using its assets to generate sales more effectively.

Since asset turnover of the ABC Depot increases from 1.0 time in Year 1 to 1.3 times in Year 2, these turnover therefore indicate that the ability of The ABC Depot to use its assets to generate sales more effectively has increased/improved.

To meet projected annual sales, Bluegill Manufacturers, Inc. needs to produce 75,000 machines for the year. The estimated January 1 inventory is 7,000 units, and the desired December 31 inventory is 12,000 units. What are projected sales units for the year? fill in the blank 1 units

Answers

Answer: 70,000 units

Explanation:

You can use the formula for the ending inventory to get this:

Ending inventory = Opening inventory + Production for the year - Projected sales

12,000 = 7,000 + 75,000 - Projected sales

12,000 + Projected sales = 82,000

Projected sales = 82,000 - 12,000

Projected sales = 70,000 units

On January 1, 2021, Princess Corporation leased equipment to King Company. The lease term is 11 years. The first payment of $700,000 was made on January 1, 2021. The equipment cost Princess Corporation $4,641,167. The present value of the lease payments is $5,001,197. The lease is appropriately classified as a sales-type lease. Assuming the interest rate for this lease is 10%, how much interest revenue will Princess record in 2022 on this lease

Answers

Answer: $403,221.67

Explanation:

Interest revenue in 2022 = Value of Lease payments in 2022 * Interest rate

Value of lease payments after first payment :

= 5,001,197 - 700,000

= $4,301,197

Value of lease payments after second payment in 2022:

= Value of lease payment after first payment + Interest revenue - lease payment

= 4,310,197 + (4,310,197 * 10%) - 700,000

= $4,032,216.70

Interest revenue in 2022 = 4,032,216.70 * 10%

= $403,221.67

You made an investment of $15,000 into an account that paid you an annual interest rate of 3.8 percent for the first 8 years and 8.2 percent for the next 10 years. What was your annual rate of return over the entire 18 years

Answers

Answer: 6.22%

Explanation:

To find the annual rate of return, find the geometric mean of the returns:

= ¹⁸√ (1 + 3.8%)⁸ * (1 + 8.2%)¹⁰ - 1

= ¹⁸√ 2.9638173484126186153 - 1

= 1.0622187633434 - 1

= 6.22%

Nếu ngân hàng trung ương tăng cung tiền và chính phủ muốn duy trì tổng cầu ở mức ban đầu thì chính phủ cần giảm thuế thu nhập. Đúng hay sai và giải thích

Answers

Answer:

sai

Explanation:

Tăng cung tiền dẫn tới lãi suất bị giảm -> đầu tư tăng -> AD tăng

giảm thuế thu nhập -> thu nhập khả dụng tăng -> chi tiêu tăng -> AD tăng

Do đó, muốn duy trì tổng cầu ở mức ban đầu thì phải tăng thuế thu nhập

Saskatchewan Forestry Company purchased a timber tract for $600,000 and estimates that it will be depleted evenly over its 10-year useful life with no residual value. Prepare the journal entry that would be recorded if 10 percent of the total timber is cut and placed into inventory during the current year.

Answers

Answer and Explanation:

The journal entry is given below:

Inventory (10% of $600,000) $60,000

         To Accumulated Depletion $60,000

(Being the 10% of the total timber cutted be recorded)

Here the inventory is debited as it increased the assets and credited the accumulated depletion as it decreased the assets

In recording the acquisition cost of an entire business:_________
(a) goodwill is recorded as the excess of cost over the fair value of identifiable net assets.
(b) assets are recorded at the seller's carrying amounts.
(c) goodwill, if it exists, is never recorded.
(d) goodwill is recorded as the excess of cost over the carrying amount of identifiable net assets.

Answers

Answer: (a) Goodwill is recorded as the excess of cost over the fair value of identifiable net assets.

On January 1, 2019, Stronger Industries issued $480,000 of 9%, five-year bonds that pay interest semiannually on June 30 and December 31. They are issued at $499,483 and their market rate is 8% at the issue date. After recording the entry for the issuance of the bonds, Bonds Payable had a balance of $480,000 and Premium on Bonds Payable had a balance of $19,483. Stroger uses the effective interest bond amortization method. The first semiannual interest payment was made on June 30, 2019. Complete the necessary journal entry for the interest payment date of June 30, 2019 by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.

Answers

Answer:

Journal Entry to record the first interest payment

June 30, 2019

Dr. Interst Expense $19,979.32

Dr. Premium on Bond $1,620.68

Cr. Cash $21,600

Explanation:

First, we need to calculate the premium on bond amortization as follow

Premium on bond amortization = Coupon Payment - Interest Expense

Premium on bond amortization = ( $480,000 x 8% x 6/12 ) - ( $499,483  x 8% x 6/12 )

Premium on bond amortization = $21,600 - $19,979.32

Premium on bond amortization = $1,620.68

justify that business is an integral part of human activity​

Answers

Answer:

Business is a source of resources to people enabling them to live.

Use the following information about the current year's operations of a company to calculate the cash paid for merchandise.
Cost of goods sold……………………………….. $ 735,000
Merchandise inventory, January 1………………. 84,700
Merchandise inventory, December 31…………… 82,400
Accounts payable, January 1……………………. 54,500
Accounts payable, December 31……………….. 60,200

Answers

Answer:

$727,000

Explanation:

Calculation of cash paid for merchandise

Cost of goods sold

$735,000

Add:

Merchandise inventory, December 31

$82,400

Less:

Merchandise inventory, January 1

($84,700)

Purchases during the period

$732,700

Add:

Accounts payable, January 1

$54,500

Less:

Accounts payable, December 31

($60,200)

Cash paid for merchandise

$727,000

PandemicsPlus just paid a dividend of $1.00 per share and they consistently grown dividends at 4% annually. Investors require a return of 12% on the firm's equity. What is the current value of the stock?

Answers

Answer:

$13

Explanation:

The current value of the stock can be determined using the constant growth dividend model

according to the constant dividend growth model

price = d1 / (r - g)

d1 = next dividend to be paid

r = cost of equity

g = growth rate

(1 x 1.04) / (0.12 - 0.04) = 13

direct operating margin may be used to determine departmental?

Answers

Answer:

can be dhkfgjhhhhddrreerrtyuuuuu7u77tt7ui

Under absorption costing, which of the following costs would not be included in finished goods inventory? a.overtime wages paid to factory workers b.the salaries for salespeople c.hourly wages of assembly worker d.straight-line depreciation on factory equipment

Answers

Answer:

b.the salaries for salespeople

Explanation:

Absorption costing is the method of costing that tries to itemise all factors that are used in manufacturing a product. These include direct materials, direct labour, and overhead.

However there is no provision for items under contributing margin (that is costs that are derived from sales revenue). Such costs can include salaries of sales people that are taken out of sales revenue.

Other items such as overtime wages paid to factory workers, hourly wages of assembly worker, and straight-line depreciation on factory equipment are all included in absorption costing

A strategy of related diversification requires most firms to organize around geographical areas or product lines. This type of organizational growth leads to a(n) ________ structure.

Answers

It leads to Divisional Structure.

cember 31 of each year. Rupar accounts for the bonds as a held-to-maturity investment, and uses the effective interest method. In Rupar's December 31, 2021, journal entry to record the second period of interest, Rupar would record a credit to interest revenue of

Answers

Answer:

B. $3,373

Explanation:

The computation is given below:

For Held- to -Maturity investment

Face Value of the bond = 100,000

Coupon rate = 6%, for Semi-annual Period should 6% ÷ 2 = 3%

Effective rate = 7% For Semi-annual Period should be 7% ÷ 2 = 3.5%

Now  

Purchase Price of the Bond is

= 100,000 - 4000

= 96,000

Now

First interest :

Cash interest = 100,000 × 3% = 3,000

interest Revenue = 96,000 × 3.5% = 3,360

So,

Discount Amortized is

= 3360 - 3,000

= 360

And,

Carrying Value of the Bond should be

= 96,000 + 360

= 96,360

For Second YEar

Interest Revenue = Carrying Value  Effective interest Rate

= 96,360 × 3.5%

= 3,372.6

= $3,373

TB MC Qu. 08-156 Fortune Drilling Company acquires... Fortune Drilling Company acquires a mineral deposit at a cost of $5,900,000. It incurs additional costs of $600,000 to access the deposit, which is estimated to contain 2,000,000 tons and is expected to take 5 years to extract. What journal entry would be needed to record the expense for the first year assuming 418,000 tons were mined

Answers

Answer:

Fortune Drilling Company

Journal Entry:

Debit Depletion Expense $1,350,000

Credit Accumulated Depletion $1,350,000

To record the first year's expense.

Explanation:

a) Data and Calculations:

Acquisition cost of mineral deposit = $5,900,000

Additional costs incurred = $600,000

Total costs of mine = $6,500,000

Estimated mineral deposit = 2,000,000 tons

Estimated years of extraction = 5 years

First year's extraction quantity = 418,000

Expenses for the first year = 418,000/2,000,000 * $6,500,000

= $1,350,000

Analysis:

Depletion Expense $1,350,000 Accumulated Depletion $1,350,000

[ Shareholders - Employees - Managers - Officers - Board of Directors ]
(a) Who manages the big picture and strategies for corporations, and who manages the day to day affairs of a corporation?
(b) How are each put in their position?

Answers

A)board of directors
B)you can appoint new company shareholders at any point after incorporation.

Mitch and Jennifer have adjusted gross income of $125,000 and they have not planned for their children's education. Their children are ages 17 and 18 and the parents anticipate paying $20,000 per year, per children for education expenses. Which of the following is the most appropriate recommendation to pay for the children's education?
A) 529 Savings Plan
B) PLUS Loan
C) Pell Grant
D) Coverdell ESA

Answers

Answer: B) PLUS Loan

Explanation:

Seeing as they did not plan ahead and the children are about to start school, the best option they have is a loan. In light of that, they should go for a Parent Loan for Undergraduate Students (PLUS) loan.

A PLUS loan is provided by the Federal government to parents to help them pay for the tuition fees of their children at undergraduate level. It has a lower interest rate but is only given to people whose credit history are not to bad.

Your team is working hard to develop a strategy to serve a new client. Which of the following actions is most important to ensuring an effective strategy is chosen?

a. Suggest that each proposed strategy be evaluated against a set of key objectives.
b. Invite the client into a meeting to shape the strategy.
c. Conduct a benchmarking survey of similar clients to determine best strategy.
d. Ask the team member with the most industry-related experience to lead the process.

Answers

Answer:

b. Invite the client into a meeting to shape the strategy.

Explanation:

It is very important when we invited the client for meeting so that we are able to share the strategy as the open and loose could be discussed in a proper way and in easy way also the suggestions are also welcome. In addition to this, the strategy should be taken place as per the preferences, requirements and choices of the clients

Therefore the option b is correct

Purple Cab Company had 70,000 shares of common stock outstanding on January 1, 2021. On April 1, 2021, the company issued 40,000 shares of common stock. The company had outstanding fully vested incentive stock options for 7,000 shares exercisable at $12 that had not been exercised by its executives. The average market price of common stock was $14. The company reported net income in the amount of $289,915 for 2021. What is the basic earnings per share (rounded)

Answers

Answer:

Purple Cab Company

The basic earnings per share is:

= $2.64 per share.

Explanation:

a) Data and Calculations:

January 1, 2021, Outstanding common stock shares = 70,000

April 1, 2021, Issue of new common stock shares = 40,000

December, 31, 2021, Outstanding common stock shares = 110,000

Outstanding fully vested incentive stock options = 7,000

Exercise price of options = $12

Common stock market price = $14

Reported net income = $289,915

The basic earnings per share = $ (Net income/Outstanding common stock)

= $289,915/110,000

= $2.64 per share

b) The basic earnings per share does not include the fully vested incentive stock options.  It is only when calculating the diluted earnings per share that the stock options will be included.

Other Questions
which of the following points is a solution to the system of inequalities shin graphed below? (1) (2, 1)(2) (5, 0)(3) (-3, 2)(4) (3, -5)thank you in advance to any one who answers this :)))) If f(x) = -x2 1, andg(x) = x + 5, theng(f(x)) = [ ? ]x2+[ ]x+[] PLZZZZ HELPPPP IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER! I don't have time to do this before my class, could someone help? Thanks so much What is the area of this trapezoid? Solve the following formula for the specified variable:C = 1/2 e * p for e How does the couplet form support the meaning of the lines?by completing the speakers thoughtby emphasizing the relationship between the speaker and the kingby describing the kings actionsby expressing the speakers sarcasm How are all atoms similar? Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n What structure does the poet use to develop the ideas in the poem?A. The last part of each stanza presents a courageous response to the first part, with eachstanza building to the final two triumphant lines of the poem.B. The speaker introduces the darkness he battles in the first stanza and offersmanifestations of that darkness through the remaining stanzas.C. The speaker rhymes alternating lines to develop the conflict between his courage andfear until the fear is overcome at the end.After introducing the idea of the unconquerable soul, the speaker describes situations inwhich he has battled his fears. Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic. What did they ask on FLVS alegebra 1 honors moduel 7 dba Absolute Value Equations Which of these is a factor in this expression?7z4 5 + 10 (y3 + 2)A. -5 + 10 (y + 2)B. (y3 + 2)C. 7z4 5D. 10 (y3 + 2) Which undefined term is used to define an angle?lineplanepointray What is the perimeter of triangle ABC? 20 pts + BRAINLIEST!(From Damon and Pythias)How does Damon advance the plot of this story?A. Damon spends time in jail awaiting Pythias's return, which creates surprise for readers.B. Damon defends Pythias's actions when Dionysius mocks Damon's loyalty to Pythias, leading to the rising action of the story.C. Damon agrees to pledge himself for Pythias's return, which shows Damon's loyalty for his friend, creating tension in the story.D. Damon willingly goes to his execution, hoping his friend does not return, which leads to the climax of the story.( I report spam answers ) Find the measure x of an angle that is complementary to a 67 angle.O 32O 23O 13O 63 An open-pit iron mine has been abandoned for several years. Before they left, the miners filled in the pits with soil that included tailings and other iron containing waste products from the mine's productive years. Which of the following hazards do the pits most likely pose to the surrounding environment?I. Acid mine drainageII. Cyanide leachingIII. Increased carbon emissionsA.) I onlyB.) II onlyC.) III onlyD.) I and III only What is a concrete poem