Mott Company's sales mix is 3 units of A, 2 units of B, and 1 unit of C. Selling prices for each product are $37, $47, and $57, respectively Variable costs per unit are $30, $31, and $34, respectively. Fixed costs are $456,000. What is the break-even point in composite units?
a) 1.239 composite units
b) 1357 composite units
c) 2763 composite units
d) 4,606 composite units.

Answers

Answer 1

Answer:

6,000 composite units

Explanation:

                                                 A    B     C      Total

Selling price per unit              37   47    57  

Less: Variable cost per unit   30   31     34

CM per unit                              7     16     23  

Sales mix                                  3     2       1

CM per sales mix                    21    32    23    76

Break even in composite unit = Fixed cost / CM per sales mix

Break even in composite unit = $456,000 / 76

Break even in composite unit = 6,000


Related Questions

During its most recent fiscal year, Raphael Enterprises sold 270,000 electric screwdrivers at a price of $17.10 each. Fixed costs amounted to $729,000 and pretax income was $999,000. What amount should have been reported as variable costs in the company's contribution margin income statement for the year in question

Answers

Answer:

$2,889,000

Explanation:

Sales units = 270,000 units

Sale Price = $17.10

Fixed cost = $729,000

Sales Value = 270,000 * $17.10

Sales Value = $4,617,000

Contribution Margin = Sales- Fixed cost

Contribution Margin = $4,617,000 - $729,000

Contribution Margin = $3,888,000

Variable Cost = Contribution margin- Pretax income

Variable Cost = $3,888,000 - $999,000

Variable Cost = $2,889,000

So, $2,889,000 is the amount that should have been reported as variable costs in the company's contribution margin income statement for the year in question.

Ice Co stock has a beta of 1.85, the current risk-free rate is 5.10 percent, and the expected return on the market is 15.10 percent. What is Ice Co's cost of equity

Answers

Answer:

23.60%

Explanation:

According to the capital asset price model:

cost of equity = risk free + beta x (market rate of return - risk free rate of return)

5.10 + 1.85 x (15.10 - 5.10)

= 5.10 + (1.85 x 10)

=23.60%

At the end of the first year of operations, 6,400 units remained in the finished goods inventory. The unit manufacturing costs during the year were as follows:
Direct materials $75
Direct labor 35
Fixed factory overhead 15
Variable factory overhead 12
Determine the cost of the finished goods inventory reported on the balance sheet under (a) the absorption costing concept and (b) the variable costing concept.

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

The unit manufacturing costs during the year were as follows:

Direct materials $75

Direct labor 35

Fixed factory overhead 15

Variable factory overhead 12

Number of units= 6,400

The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

The variable costing method incorporates all variable production costs (direct material, direct labor, and variable overhead).

Absorption method:

Unit product cost= direct material + direct labor + total unitary overhead

Unit product cost= 75 + 35 + 15 + 12

Unit product cost= $137

Total ending inventory cost= 137*6,400

Total ending inventory cost= $876,800

Variable costing method:

Unit product cost= direct material + direct labor + variable overhead

Unit product cost= 75 + 35 + 12

Unit product cost= $122

Total ending inventory cost= 122*6,400

Total ending inventory cost= $780,800

he next dividend payment by Savitz, Inc., will be $5.05 per share. The dividends are anticipated to maintain a growth rate of 5 percent forever. If the stock currently sells for $43 per share, what is the required return

Answers

Answer:

16.74%

Explanation:

Current Price = Expected Dividend / (Required Return - Growth Rate)

Required Return = (Expected Dividend / Current Price) + Growth rate

Required Return = ($5.05 / $43) + 5%

Required Return = 0.1174419 + 0.05

Required Return = 0.1674419

Required Return = 16.74%

Miscavage Corporation has two divisions: the Beta Division and the Alpha Division. The Beta Division has sales of $300,000, variable expenses of $152,100, and traceable fixed expenses of $70,300. The Alpha Division has sales of $610,000, variable expenses of $335,800, and traceable fixed expenses of $131,900. The total amount of common fixed expenses not traceable to the individual divisions is $133,200. What is the company's net operating income

Answers

Answer: $86700

Explanation:

The net operating income is used in knowing the profitability of an investment. The net operating income is gotten by subtracting the expenses from the revenue.

Based on the information given in the question, the net operating income is $86700. Kindly check the attachment for further details.

At December 31, Amy Jo's Appliances had account balances in Accounts Receivable of $308,000 and in Allowance for Uncollectible Accounts of $910 (credit) before any adjustments. An analysis of Amy Jo's December 31 accounts receivable suggests that the allowance for uncollectible accounts should be 4% of accounts receivable. Bad debt expense for the year should be: Multiple Choice $13,230. $12,320. $11,410. $11,911.

Answers

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When marginal revenue equals marginal cost, the firm a. should increase the level of production to maximize its profit. b. may be minimizing its losses rather than maximizing its profit. c. must be generating positive economic profits. d. must be generating positive accounting profits.

Answers

When marginal revenue is equal to the marginal cost, then the firm should increase the level of production to maximize its profit.

Marginal revenue simply means the increase in revenue that a company makes as a result of selling an additional output of good. Marginal cost is the cost that a company incurs for production of one extra unit of good.

It should be noted that when the marginal cost if a firm is more than the marginal revenue, it means that the firm is producing too much.

When the marginal revenue of the firm equals the marginal cost, then the firm should maximize its profit.

The correct option is A.

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When comparing the results of using the direct, sequential, and reciprocal services methods of allocating support department costs to production departments, which of the following statements is true for a manufacturing company that has a total of $1,500,000 in support costs to allocate?
a.The reciprocal services method allocates more than $1,500,000 to the production departments.
b.The reciprocal services method can be viewed as a compromise on accuracy and difficulty in allocating the $1,500,000 because it considers some, though not all, inter-support-department services and is easier to compute than the direct method.
c.The direct method yields the most accurate allocation of the $1,500,000.
d.The sequential method can be viewed as a compromise on accuracy and difficulty in allocating the $1,500,000 because it considers some, though not all, inter-support-department services and is easier to compute than the reciprocal services method.

Answers

Answer: d. The sequential method can be viewed as a compromise on accuracy and difficulty in allocating the $1,500,000 because it considers some, though not all, inter-support-department services and is easier to compute than the reciprocal services method

Explanation:

For a a manufacturing company that has a total of $1,500,000 in support costs to allocate, it should be noted that the sequential method can be viewed as a compromise on accuracy and difficulty in allocating the $1,500,000 because it considers some, though not all, inter-support-department services and is easier to compute than the reciprocal services method

Which of the following best describes the journal entry to record the withdrawal of raw materials from the storeroom for use as direct and indirect materials in production?
a. Debit Work in Process, debit Manufacturing Overhead, and credit Raw Materials.
b. Debit Work in Process and credit Raw Materials.
c. Debit Manufacturing Overhead and credit Raw Materials.
d. Debit Work in Process, debit Manufacturing Overhead, and credit Direct Materials.

Answers

D. Debit work in process debit manufacturing overhead …..

Debit Work in Process, debit Manufacturing Overhead, and credit Direct Materials best describes the journal entry to record the withdrawal of raw materials from the storeroom for use as direct and indirect materials in production. Thus option d is the correct option

What is a journal entry?

A Journal entry can be defined as an accounting record in which the transaction is being made. Every transaction has two reactions, and all of these are accounted for with the help of a journal entry. About which a person can make a journal and a ledger, a balance sheet, and a profit and loss account.

Debit work in progress or any time of credit material describes the journal entry as the raw material is a part of inventory either taken with the help of debit or credit that is paid in cash, or sometimes it is through check or Bank. Therefore option d is the correct option

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Solving for PMT of an annuity​) To pay for your​ child's education, you wish to have accumulated ​$ at the end of years. To do this you plan on depositing an equal amount into the bank at the end of each year. If the bank is willing to pay percent compounded​ annually, how much must you deposit each year to reach your​ goal?

Answers

Answer:

$783.87

Explanation:

Complete question "To pay for your​ child's education, you wish to have accumulated ​$10,000 at the end of 8 years. To do​this, you plan to deposit an equal amount into the bank at the end of each year. If the bank is willing to pay 13 percent compounded​annually, how much must you deposit each year to obtain your​goal?"

NPER = 8

FV = 10,000

Rate = 13%

PV = 0

Future Value of Annuity = PMT(Rate, NPER, PV, FV)

Future Value of Annuity = PMT(13%, 8, 10000, 0)

Future Value of Annuity = 783.8671964727014

Future Value of Annuity = $783.87

So, one must deposit $783.87 each year to reach the goal.

How does the devaluation and appreciation of the local currency effect to balance of payment, analyze for each component

Answers

Answer: Balance of payment will worsen due to devaluation.

Explanation: The balance of payments refers to the balance of supply and demand for a country's currency in the foreign exchange market. Devaluation will make local currency weaker and foreign currency stronger.  Therefore less demand for local currency in the foreign market. The imports will become expensive, more amount of local currency will be paid as it is weaker. The exports will become cheaper, more amount of local currency will be received as foreign currency is stronger than it.

Vise Versa for appreciation.

Cameron is single and has taxable income of $58,046.

Required:
Determine his tax liability using the Tax Tables and using the Tax Rate Schedules.

Answers

Answer:

Cameron

Cameron's tax liability for the year as a single taxpayer is

= $12,770.12.

Explanation:

a) Data and Calculations:

Taxable income = $58,046

Tax rate = 22%

Tax liability = $12,770.12 ($58,046 * 22%)

b) The amount of tax that Cameron, who is within the 22% tax rate bracket, will pay to the IRS is $12,770.12.  The tax liability represents the amount of tax that is due to be paid for his taxable income of $58,046 at the tax rate of 22%.

The Management of XYZ Company Limited uses value chain analysis, supply chain management, inventory b)Identify and explain the type of school of management approach being used in the company.(5marks) management, quality control, queuing theory, linear programming and network models approaches in management of the company. The company relies on scientific applications of mathematical techniques to c)Discuss in four (5) ways, how contingency School of Management is different from the type of school manage problems. a)Briefly explain the typesof management theoriesapplicable in XYZ company Limited. (5marks) of management identified in (ii) above.​

Answers

a) The school of management that the Management of XYZ Company Limited is applying is called Mathematical or Quantitative School of Management.

The Mathematical or Quantitative School of Management:

Expresses management problems in equations, mathematical symbols, and quantitative models  Encourages wide application of computer technology, simulations, and analytics Introduces precision to management thinking and practice

b) The Contingency School, unlike the Mathematical  School of Management:

Recognizes that not all management processes can be expressed with mathematical symbols and formulas.Identifies that mathematical models cannot replace sound judgment, which requires intuition and not equation.States that there is no single technique to solving management problems. Encourages managers to use any feasible management technique to solve problems, thereby thinking outside the box. Emphasizes that the applications of management principles and practices (process, behavioral, quantitative, and systems) should be contingent upon the prevailing circumstances.  

Thus, with Contingency School, the tools of management thinking and practice should be applied based on prevailing situations and not mathematically with equations, models, and symbols.

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The total factory overhead for Norton Company is budgeted for the year at $300,000, divided into three activities: assembly, $200,000; setup, $50,000; and materials handling, $150,000. Norton manufactures two products: Product A and Product B. The activity-based usage quantities for each product by each activity are estimated as follows:
Assembly Setup Materials Handling
Product A 5,000 dlh 60,setups 25 moves
Product B 15,000 dlh 110 setups 250 moves
Total activity- 20,000 dlh 170setups 275 moves
base usage
Determine the activity rate for the set up activity.
a. $166 per setup
b. $294 per setup
c. $1,764 per setup
d. $118 per setup

Answers

Answer:

b. $294 per setup

Explanation:

The computation of the activity rate for the setup activity is given below:

Activity Rate is

= Total Activity Cost ÷ Cost Driver

Activity Rate for Setup Activity is

= $50,000 ÷ 170

= $294 per Setup

hence, the activity rate for the setup activity is $294

Therefore the option b is correct

Historical demand for a product is: DEMAND January 13 February 12 March 16 April 13 May 17 June 16 a. Using a weighted moving average with weights of 0.50 (June), 0.30 (May), and 0.20 (April), find the July forecast

Answers

Answer: 15.7 units

Explanation:

July forecast = (Weight of June * Demand in June) + (Weight of May * Demand in May) + (Weight of April * Demand in April)

= (0.5 * 16) + (0.3 * 17) + (0.2 * 13)

= 8 + 5.1 + 2.6

= 15.7 units

*Gains and losses taxable when investments are sold. The total deferred tax asset and deferred tax liability amounts at January 1, 2021, were $166.25 million and $25 million, respectively. The enacted tax rate is 25% each year. Required: 1. Determine the total deferred tax asset and deferred tax liability amounts at December 31, 2021. 2. Determine the increase (decrease) in the deferred tax asset and deferred tax liability accounts at December 31, 2021. 3. Determine the income tax payable currently for the year ended December 31, 2021. 4. Prepare the journal entry to record income taxes for 2021.

Answers

Answer:

1. $160.75 million

$42 million

2. Decrease ($5.5 Million)

Increase $17 million

3. $35 million

4. Dr Tax expense $57.5 million

Cr Deferred tax asset $5.5 million

Cr Deferred tax liability $17 million

Cr Taxes payable $35 million

Explanation:

1. Calculation to determine the total deferred tax asset and deferred tax liability amounts at December 31, 2021.

Allowance for bad debt $1 million

($28 million-$32 million)* 25%

Add Subscription liability $6.25 million

($25million*25%)

Add Post retirement benefits obligation $153.5 million

($614 million*25%)

TOTAL DEFERRED TAX ASSET $160.75 million

Prepaid insurance $10 million

($40 million *25%)

Add Prepaid advertising $6 million

($24million * 25%)

Investments unrealized gain $6 million

$24million * 25%)

Add Buildings $20 million

[($380 million-$300 million) * 25%]

TOTAL DEFERRED TAX LIABILITY $42 million

Therefore the total deferred tax asset is $160.75 million and deferred tax liability amounts at December 31, 2021 is $42 million.

2. Calculation to determine the increase (decrease) in the deferred tax asset and deferred tax liability accounts at December 31, 2021

DEFERRED TAX ASSET

Ending balance $160.75 million

Less Beginning balance $166.25 million

Decrease ($5.5 Million)

DEFERRED TAX LIABILITY

Ending balance $42 million

Less Beginning balance $25 million

Increase $17 million

Therefore the increase (decrease) in the deferred tax asset and deferred tax liability accounts at December 31, 2021 is :

Deferred tax asset: Decrease ($5.5 Million)

Deferred tax liability:Increase $17 million

3. Calculation to determine the income tax payable currently for the year ended December 31, 2021

Income tax payable = $140 million *25%

Income tax payable=$35 million

Therefore the income tax payable currently for the year ended December 31, 2021 is $35 million

4. Preparation of the journal entry to record income taxes for 2021.

Journal entry

Dr Tax expense $57.5 million

($5.5 million+$17 million +$35 million)

Cr Deferred tax asset $5.5 million

Cr Deferred tax liability $17 million

Cr Taxes payable $35 million

(To record tax expense)

A _____________ strategy entails an organization developing a product and/or service that offers unique attributes that are valued by customers and that the customer perceives to be distinct from competitor offerings.

Answers

Answer: differentiation strategy

Explanation:

The differentiation strategy refers to the marketing strategy that is designed in order to distinguish the product and services of a company from other companies.

Product differentiation helps in the development of a strong value proposition which ensures that the product is attractive to the audience. The differentiation strategy ensures that the product is unique from others and this creates a competitive advantage.

Malouka participates in a research project for a large consumer behavior research firm. Each time she purchases items in a grocery store, she scans the barcodes of her products into an app, which sends her purchase data to the firm for analysis. Malouka is working with an example of automation known as __________.

Answers

Malouka is working with an automation example that we called the importing/exporting data.

The following information should be considered for the given situation:

Since she scans the barcodes of that product she purchased even all products are associated with the barcodes via using the mobile app.Also, she offered the research firm having more information like time, location, quantity, gender,etc.

Therefore we can conclude that Malouka is working with an automation example that we called the importing/exporting data.

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Last year, 7,980 units were produced and 7,680 units were sold. There was no beginning inventory. The carrying value on the balance sheet of the ending inventory of finished goods under variable costing would be: Multiple Choice the same as absorption costing.

Answers

Complete Question:

The Southern Corporation manufactures a single product and has the following cost structure: Variable costs per unit: Production $ 35 Selling and administrative $ 14 Fixed costs per year: Production $ 175,560 Selling and administrative $ 140,450 Last year, 7,980 units were produced and 7,680 units were sold. There was no beginning inventory. The carrying value on the balance sheet of the ending inventory of finished goods under variable costing would be:

Multiple Choice

$6,600 less than under absorption costing.

$7,680 less than under absorption costing.

the same as absorption costing.

$7,680 greater than under absorption costing.

Answer:

The Southern Corporation

The carrying value on the balance sheet of the ending inventory of finished goods under variable costing would be:

$6,600 less than under absorption costing.

Explanation:

a) Data and Calculations:

Variable costs per unit:

Production $ 35

Selling and administrative $ 14

Fixed costs per year:

Production $ 175,560

Selling and administrative $ 140,450

Production units last year = 7,980 units

Sales units last year = 7,680 units

Ending inventory = 300 (7,980 - 7,680) units

Value of Ending inventory:

1. Variable Costing:

Production $ 35 * 300 = $10,500

2. Absorption Costing:

Variable Production $ 35 * 7,980 = $279,300

Fixed Production overhead             $ 175,560

Total production costs =                  $454,860

Units produced = 7,980

Unit cost = $57

Ending inventory = $17,100 ($57 * 300)

Difference = $6,600 ($17,100 - $10,500)

Entries for Notes Payable A business issued a 60-day, 10% note for $96,000 to a creditor on account. Journalize the entries to record (a) the issuance of the note and (b) the payment of the note at maturity, including interest. Assume a 360-day year. If an amount box does not require an entry, leave it blank. If required, round yours answers to whole dollar.

Answers

Answer:

Business A

Journal Entries:

Debit Accounts Payable $96,000

Credit 10% Notes Payable $96,000

To record the issuance of a 60-day, 10% note to a creditor on account.

Debit 10% Notes Payable $96,000

Debit Interest Expense $1,600

Credit Cash $97,600

To record the payment of the note at maturing, including interest.

Explanation:

a) Data and Analysis:

Accounts Payable $96,000

10% Notes Payable $96,000

10% Notes Payable $96,000

Interest Expense $1,600

Cash $97,600

Question 8
Critics of advertising argue that in some markets advertising may
A attract products of lower quality into the market.
B attract less informed buyers into the market.
C decrease elasticity of demand allowing firms to charge a larger markup over marginal cost.
D enhance competition in markets to an unnecessary degree.
Question 9

Answers

Answer:

C decrease elasticity of demand allowing firms to charge a larger markup over marginal cost.

Explanation:

A manager spent 5 hours of his day in meetings. If he said that he spent 70% of his day, how many total hours did he work?

Answers

Answer:

The total hours the manager worked

= 7.14 hours

Explanation:

a) Data and Calculations:

Time spent by a manager in meetings per day = 5 hours

Percentage of time spent in meetings = 70%

Total hours the manager worked per day = 5/70% = 7.14 hours

b) The total hours that the manager worked per day = 7.14 hours or 7 hours 9 minutes (approximately).  This is obtained by dividing the hours spent in meetings by the equivalent proportion that meetings consumed per day.

Omega Enterprises budgeted the following sales in units: January 40,000 February 30,000 March 50,000 Omega's policy is to have 30% of the following month's sales in inventory. On January 1, inventory equaled 8,000 units. February production in units is: a.36,000. b.40,000. c.20,000. d.28,000. e.26,500.

Answers

Answer:

a. 36,000

Explanation:

Calculation to determine what February production in units is:

Sales for the month 30,000

Add Ending inventory 15,000

(50,000*0.3)

Less Beginning inventory (9,000)

(30,000*0.3)

February production in units 36,000 units

Therefore February production in units is: 36,000 units

Jefferson uses the percent of sales method of estimating uncollectible receivables. Based on past history, 2% of credit sales are expected to be uncollectible. Sales for the current year are $5,550,000. Which of the following is correct?

a. Allowance for Doubtful Accounts will be credited.
b. Cash will be debited.
c. Accounts Receivable will be debited.
d. Bad Debt Expense will be credited.

Answers

Answer:

a. Allowance for Doubtful Accounts will be credited.

Explanation:

Since 2% of credit sales are expected to be UNCOLLECTIBLE in which the Sales amount for the current year are $5,550,000 which therefore means that $111,000 calculated as (.02 x $5,550,000) will be Allowance for Doubtful Accounts amount that will be credited.

Therefore ALLOWANCE FOR DOUBTFUL ACCOUNTS can be defined as the amount that tend to reduce Accout Receivable amount shown on a company or organization balance sheet.

Machinery was purchased for $340,000. Freight charges amounted to $14,000 and there was a cost of $40,000 for building a foundation and installing the machinery. It is estimated that the machinery will have a $60,000 salvage value at the end of its 5-year useful life. Annual depreciation expense using the straight-line method will be a. $78,800. b. $57,200. c. $66,800. d. $56,000.

Answers

Answer:

$66,800

Explanation:

Depreciation is used in expensing the cost of an asset

Depreciation reduces the value of an asset

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

Cost = $340,000. + $14,000 + $40,000 = $394,000

($394,000 - $60,000) / 5 = $66,800


How does the price range affect the elasticity of demand for a product?
Demand for all goods is elastic if the price is low enough.
Price range has little or no effect on elasticity of demand for a good.
Demand for a good can be inelastic at a low price, but elastic at a high price.
Demand for a good can be elastic at a low price but inelastic at a high price.

Answers

Answer:

How does the price range affect the elasticity of demand for a product?

Demand for all goods is elastic if the price is low enough.

Price range has little or no effect on elasticity of demand for a good.

Demand for a good can be inelastic at a low price, but elastic at a high price.

Demand for a good can be elastic at a low price but inelastic at a high price.

Explanation:

How does the price range affect the elasticity of demand for a product?

Demand for all goods is elastic if the price is low enough.

Price range has little or no effect on elasticity of demand for a good.

Demand for a good can be inelastic at a low price, but elastic at a high price.

Demand for a good can be elastic at a low price but inelastic at a high price.

Answer:

the answer is demand for a good can be inelastic at a low price, but elastic at a high price.

Explanation:

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Answers

Answer:

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Explanation:

John jvghh bugs HHH jhu UV juggle

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Answers

Answer:

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Explanation:

financial acc practice ex 1

A TV manufacturer offers warranties on its new TV sales. During December 2004, TV sales totaled $205,000. Past experience shows that warranty expense averages about 3% of the annual sales. What adjusting journal entry should be recorded on December 31, 2004 to account for the warranty expense

Answers

Answer:

Date                    Account Title                                        Debit              Credit

Dec 31, 2004     Warranty expense                             $6,150

                           Warranty Liability                                                    $6,150

Explanation:

First calculate the warranty expense:

= TV sales total * Warranty expense averages

= 205,000 * 3%

= $6,150

This will be credited to the Warranty liability account to reflect that the company potentially owes $6,150 in warranty expenses to people who purchased TVs.

Higher customer satisfaction and more efficient use of resources are impacts of businesses that operate with a _______
a: cost saving motive
b: customer service motive
c: efficiency motive
d: profit motive

Answers

Answer:

customer service motive

Answer:

I believe it's C: efficiency motive.

Explanation:

I did inspect element on course hero for the same question, and the answer was highlighted. Additionally, the question seems to highlight efficient uses of resources purposefully in businesses, so it seems that efficiency motive also goes hand in hand with that.

Other Questions
A woman sought to kill her husband. She developed an elaborate plan that involved cutting the brake lines on his automobile while his car sat in his office parking lot. On the morning of the planned killing, the woman walked with her husband to the garage. Watching as her husband began to pull his car out of the garage, the woman activated the switch to shut the garage door. The switch malfunctioned and as result the garage door came crashing down on the car and crushed the husband to death. For which crime could the woman properly be found guilty how does a filibuster protect the minority party? HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___. Help with solving this Functions problem The phenomenon of single or double fertilization is unique to the seed plants PLEASE HELPPP THIS IS DUE ASAPPPP!!!!!!!!!!!!!! WILL GIVE BRAINLIEST keep the body and soul together .....what figure of speech is contained in the sentence How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the sample mean, you divide by the sample number plus one. The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size). For sample mean, the sum of values is divided by the number of values minus one. A paper factory makes cardboard sheets like the one shown below. If the area of each sheet is given by the expression 6x ^ 2 + 7x + 2, what are the dimensions of each sheet of cardboard? Globalism in the twentieth century was promoted by advances inA. politics.B. transportation.C. manufacturingD. communication.(PF) Solve the following equation by first writing the equation in the form a x squared = c:3 a squared minus 21 = 27A. a = 4B. a = plus-or-minus 4C. a = plus-or-minus 16D. a = 16 Find the height in centimeters of a square pyramid with a volume of 72cm^ 3 and a base edge length equal to the height I will never forget that lonesome hill of stone that is herfinal bed, as it fades from my sight. I tread softly by myuncle, my hand in his. I walk with my head turned, watchingthat small hill as it fades from my sight. The soldiers makeus continue walking. My uncle talks to me, trying tocomfort me. I walk in loneliness.Which statement best describes how the author's word choice contributes tothe tone of the passage?O A. The author's use of words like final and soldiers gives the passagea sad and isolated tone.O B. The author's use of words like final and soldiers gives the passagean angry and aggressive tone.O C. The author's use of words like lonesome and fades gives thepassage an angry and aggressive tone.D. The author's use of words like lonesome and fades gives thepassage a sad and isolated tone. 2. Jessica is applying for a new job as a cosmetologist. Job A offers $40,000 starting salary with at $1000 raiseeach year . Job B offers $35,000 starting salary with a 8% raise each year. If Jessica is looking to stay at thisposition for over 10+ years, which job should she pick? If the total income generated from Gasoline for AER was $408 millions, how much would be the cost for a barrel of gasoline Now that you have listened to part of the first chapter of All American Boys, is this something you would want to continue reading? Explain your response. Use the figure to find u. Jeff has 20 coins. 2/5 of them are quarters. How many quarters does he have? How many coins are not quarters? you are pedaling forward on your bike. which of the following would decrease your acceleration?A. A decrease in your massB. A increase in your applied forceC. An increase in your massD. An increase in your speed In a poll, adults in a region were asked about their online vs. in-store clothes shopping. One finding was that % of respondents never clothes-shop online. Find and interpret a % confidence interval for the proportion of all adults in the region who never clothes-shop online.