Hartford, Inc. manufactures a single product. Shown are projected revenues and costs based on last year's income statement (8,000 units) and practical capacity (10,000 units). The costs are either variable, fixed, or mixed (part variable and part fixed.) You need to figure out what the cost type is based on the cost behavior.Last Year(8,000 units) Practical Capacity(10,000 units) Total Per Unit Total Per UnitRevenue $800,000 $100.00 $1,000,000 $100.00Costs: Direct Material $200,000 $25.00 $250,000 $25.00Direct Labor $160,000 $20.00 $200,000 $20.00Mfg. Overhead $180,000 $22.50 $200,000 $20.00Selling Expenses $40,000 $5.00 $50,000 $5.00Admin. Expenses $50,000 $6.25 $50,000 $5.00Total Costs $630,000 $78.75 $750,000 $75.00Pre-Tax Profit $170,000 $250,000 RequiredAssume that Hartford expects to sell the same number of units as last year in their normal distribution channels (8,000 units). They have received an offer from a one-time customer (not part of their normal customer mix) to buy 1,000 units (additional to their expected normal sales) at a price of $71. By how many dollars would pre-tax profit increase or decrease if Hartford accepts the special order? (9 points)

Answers

Answer 1

Answer:

Hartford, Inc.

If Hartford accepts the special order, the pre-tax profit would increase by

= $21,000.

Explanation:

a) Data and Calculations:

Production and sales capacity last year = 8,000 units

Practical capacity = 10,000 units

                                         Last Year                Practical Capacity

                                      (8,000 units)                  (10,000 units)

                                Total         Per Unit           Total         Per Unit

Revenue                 $800,000  $100.00      $1,000,000  $100.00

Costs:

Direct Material       $200,000   $25.00        $250,000    $25.00

Direct Labor            $160,000   $20.00        $200,000    $20.00

Mfg. Overhead       $180,000   $22.50        $200,000    $20.00

Selling Expenses     $40,000     $5.00          $50,000       $5.00

Admin. Expenses    $50,000     $6.25          $50,000       $5.00

Total Costs            $630,000   $78.75        $750,000     $75.00

Pre-Tax Profit         $170,000                       $250,000

Variable cost per unit              $50.00                              $50.00

Fixed cost            $230,000                        $250,000

Sales revenue from the one-time customer = $71,000

Variable cost per unit                                         50,000

Additional pre-tax profit (increase)                  $21,000                    


Related Questions

Jillian Diaz receives a regular salary of $1,500 a month and is entitled to overtime pay at the rate of one and one-half times the regular hourly rate for any time worked in excess of 40 hours per week. Diaz's overtime pay rate is a.$6.92. b.$1,800. c.$12.98. d.$276.92.

Answers

Answer: $14.07

Explanation:

The regular salary of $1,500 is based on a 40-hour week.

The rate per hour assuming 4 weeks is:

= 1,500 / (40 * 4)

= $9.38

Overtime rates are one and one-half times the regular hourly rate:

= 9.38 * 1¹/₂

= $14.07

What is the amount of the risk premium on a U.S. Treasury bill if the risk-free rate is 2.8 percent and the market rate of return is 8.35 percent

Answers

Answer:

5.55%

Explanation:

risk premium = market rate of return - risk free rate

8.35 - 2.8 = 5.55

Fowler, Inc., just paid a dividend of $2.60 per share on its stock. The dividends are expected to grow at a constant rate of 5.75 percent per year, indefinitely. Assume investors require a return of 12 percent on this stock.
a. What is the current price?
b. What will the price be in four years and in sixteen years?

Answers

Answer:

a. Current price = $43.99

b. We have:

Price in four years = $52.03

Price in sixteen years = $101.76

Explanation:

a. What is the current price?

Using the Gordon Growth Model formula, we have:

Current price = (Dividend just paid * (100% + Dividend growth rate)) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)) / (12% - 5.75%) = $43.99

b. What will the price be in four years and in sixteen years?

Using the Gordon Growth Model formula with an adjustment for number of years, we have:

Price in four years = (Dividend just paid * (100% + Dividend growth rate)^Number of years) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)^4) / (12% - 5.75%) = $52.03

Price in sixteen years = (Dividend just paid * (100% + Dividend growth rate)^Number of years) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)^16) / (12% - 5.75%) = $101.76

MC Qu. 113 Kayak Company uses a job order costing... Kayak Company uses a job order costing system and allocates its overhead on the basis of direct labor costs. Kayak Company's production costs for the year were: direct labor, $35,000; direct materials, $55,000; and factory overhead applied $6,500. The overhead application rate was:

Answers

Answer:

$0.19 per direct labor hour

Explanation:

It is important to keep in mind the following :

Overhead application rate = Budgeted Overheads ÷ Budgeted Activity

also,

Applied Overheads = Overhead application rate x Actual Activity

Using the formula :

Applied Overheads = Overhead application rate x Actual Activity

hence,

Overhead application rate = Applied Overheads ÷ Actual Activity

therefore,

Overhead application rate = $6,500 ÷ $35,000

                                            = $0.185 or $0.19 per direct labor hour

Following the law is:______. a. unimportant as a standard of business behavior b. the maximum standard of behavior we expect from business c. an unrealistic expectation for business behavior d. the minimum standard of behavior we expect from business

Answers

Answer:

b. the maximum standard of behavior we expect from business

Explanation:

In the laws of business, it is expected according to the law that as much possible, we accept the maximum standard of behavior from any businesses. While doing a business, we all have to follow the business ethics and always follows the laws of the businesses. The behavior of business should be of maximum standard and should comply with the rules and ethics with the related businesses.

Thus the correct option is (b).

Productivity is difficult to measure because precise units of measure are available, quality is consistent, and exogenous variables don't change. True False

Answers

Answer:

False

Explanation:

All of the statements being made are False. Productivity is measured by stats. For example, in any given month a certain number of products are produced by a fixed number of employees, the next month the same value is calculated and compared with the previous month. This lets you know if productivity is increasing or decreasing. The quality of anything depends on the time and effort being implemented in making something, if this changes then so does the quality. Exogenous variables are simply variables that are not affected by other variables in a given environment, this does not mean that they cannot change. Even though they are independent they can still change. For example, the weather is an exogenous variable but it can still change from Raining to Sunny.

The Cavendish Company is considering a project with an initial investment of $8 million that has an accounting rate of return of 25%. The project will generate an annual net cash flow of $1.75 million and annual net operating income of $2 million. What is the project's payback period?

Answers

Answer:

4 years and 2 months

Explanation:

The project's payback period is the length of time that the future cash flows take to equal the initial investment of the project.

Initial Investment = $8 million

Annual cash flows = $1.75 million

It will take 4 years and 2 months ($1 million /$8 million x 12) for annual cashflows to equal the Initial Investment of $8 million.

Which of the following entries could be considered as an adjusting entry? Group of answer choices Debit to Cash and Credit to Revenues Debit to Cash and Credit to Liabilities Credit to Cash and Debit to Expenses Debit to Expenses and Credit to Liabilities

Answers

Answer:

The entry that could be considered as an adjusting entry is:

Debit to Expenses and Credit to Liabilities

Explanation:

For example, to accrue salaries expenses in an accounting period when the cash payments have not been made, the Salaries Expenses account is debited with the amount of the unpaid salaries while the corresponding credit entry goes to the Salaries Payable account.  Depreciation expense is also debited while the corresponding credit entry is made in the accumulated depreciation account.

All sales are made on credit. Based on past experience, the company estimates 0.3% of net credit sales to be uncollectible. What adjusting entry should the company make at the end of the current year to record its estimated bad debts expense

Answers

Answer:

Missing word "A company uses the percent of sales method to determine its bad debts expense. At the end of the current year, the company's unadjusted trial balance reported the following selected amounts: Accounts receivable $350,000 debit, Allowance for uncollectible accounts 650 debit, Net Sales 795,000 credit"

Net credit sales = $795,000

Bad debt expense = 0.3% * Net credit sales

Bad debt expense = $795,000 * 0.3%

Bad debt expense = $2,385

                                            Adjusting entry

Date   General Journal                                              Debit      Credit

           Bad debt expense                                         $2,385

                   Allowance for uncollectible accounts                 $2,385

           (To record bad debt expense)

Garcia Corporation purchased a truck by issuing an $80,000, 4-year, zero-interest-bearing note to Equinox Inc. The market rate of interest for obligations of this nature is 10%. Prepare the journal entry to record the purchase of this truck

Answers

Answer: See explanation

Explanation:

The journal entry to record the purchase of the truck will be:

Dr Trucks $54641

Dr Discount on Notes Payable $25359

Cr Notes Payable $80000

Note:

Face value of Note = $80000

× PV factor = 1/1.10⁴ = 0.68301

Present value of Face value of Note = $54641

Suppose that a share of common stock is expected to pay a $3 dividend one year from now, and thereafter each annual dividend payment will increase by 4% over the prior payment. The effective annual interest rate is 12%. Find the modified duration of this share of stock.

Answers

Answer:

13

Explanation:

Modified duration of stock = (1 + Growth rate) / (Effective rate - Growth rate)

Modified duration of stock = (1 + 4%) / (12% - 4%)

Modified duration of stock = (1 + 0.04) / 0.08

Modified duration of stock = 1.04 / 0.08

Modified duration of stock = 13

So, the modified duration of this share of the stock is 13.

A student borrows $95,000 for business school at 4.5% stated annual interest with monthly repayment over 9 years. Consider this as a loan with no payments or interest during school so that the problem structure is equivalent to a standard loan received one period before the first payment. Suppose that to better match expected student salary growth over time, the loan is structured as a growing annuity with each monthly payment growing by 0.3% compared to the previous monthly payment. How much is the first monthly payment

Answers

Answer:

$918.70 or $900

Explanation:

The computation of the first monthly payment is given below:

Interest rate per Month is

= Annual Rate ÷ 12

= 4.50% ÷ 12

= 0.375%

Now

Present Value of Growing Annuity = First payment × (1 - ((1 + Growth Rate) ÷ (1 + Interest Rate))^Periods) × 1 ÷  (Interest Rate - Growth Rate)

95000 = First payment × (1 - ((1 + 0.30%) ÷ (1 + 0.375%))^108) × 1 ÷ (0.375% - 0.30%)

95000 = First payment × (1 - 0.999252^108) × 1 ÷ (0.075%)

95000 = First payment × (1 - 0.92244) × 1 ÷ (0.075%)

95000 = First payment × 103.4067

First payment = $918.70 or $900

The Gear Division makes a part with the following characteristics:
Production capacity 25,000 units
Selling price to outside customers $ 18
Variable cost per unit $ 11
Fixed cost, total $ 100,000
Motor Division of the same company would like to purchase 10,000 units each period from the Gear Division. The Motor Division now purchases the part from an outside supplier at a price of $17 each. Suppose that the Gear Division is operating at capacity and can sell all of its output to outside customers. If the Gear Division sells the parts to Motor Division at $17 per unit, the company as a whole will be:
a. better off by $10,000 each period.
b. worse off by $20,000 each period.
c. worse off by $10,000 each period.
d. There will be no change in the status of the company as a whole.

Answers

Answer:

Effect on income= -10,000

Explanation:

Giving the following information:

Production capacity 25,000 units

Selling price to outside customers $ 18

Variable cost per unit $ 11

Fixed cost, total $ 100,000

First, we need to calculate the unitary total production cost:

Total unitary cost= (100,000/25,000) + 11

Total unitary cost= $15

The company can sell all of its production to outside customers and gain $3 from the sale. But, by selling to the Motor Division, it gains $2.

Now, the effect on income:

Effect on income= increase in income by not buying the part - decrease in sales revenue for not selling to outside customers

Effect on income= 10,000*2 - 10,000*3

Effect on income= 20,000 - 30,000

Effect on income= -10,000

What happens to the price of a three-year annual coupon paying bond with an 8% coupon when interest rates change from 8% to 8.96%

Answers

Answer:

It would reduce to -24.3185

Explanation:

I solved this on paper and have added the solution as an attachment

At 8% rate of interest the price of this bond is 1000

At 8.96% rate of interest the calculated price of the coupon bond is 975.681

975.681-1000 = -24.3185

When the interest rate falls from 8% to 8.96%, the price of the bond reduces by -24.3185

Under the accrual basis of accounting, many of the account balance in the ledger at the end of the accounting period are reported in the financial statement without change. Some accounts require updating, though. When preparing financial statements, the economic life of the business is divided into time periods. The matching principle states that:___________.
1. A purchase made by a business is matched with the actual cost of the item
2. The accounting records and reports are matched with objective evidence
3. The transactions of a business are matched with the transactions of hs owner, creditors and other bussiness
4. The expenses incurred during a period are matched with the reverse that those expenses generated.

Answers

Answer: 4. The expenses incurred during a period are matched with the revenues that those expenses generated.

Explanation:

The accrual basis of accounting works by matching accounting transactions to the period that they occur in. For instance, if revenue is sold in year 1 but the cash for it is only received in year 2, the revenue will be recorded for year 1.

The matching principle falls under the accrual basis and matches the expenses in a period to the revenue that the expenses generated in that same period. This is why the expenses in the income statement are only those that occurred in the current period and expenses for future periods are put in the balance sheet.

On January 1, 2019, Caswell Company signs a 10-year cancelable (at the option of either party) agreement to lease a storage building from Wake Company. The following information pertains to this lease agreement:
1. The agreement requires rental payments of $100,000 at the beginning of each year.
2. The cost and fair value of the building on January 1, 2019, is $2 million. The storage building has not been specialized for Caswell.
3. The building has an estimated economic life of 50 years, with no residual value. Caswell depreciates similar buildings according to the straight-line method.
4. The lease does not contain a renewable option clause. At the termination of the lease, the building reverts to the lessor.
5. Caswell’s incremental borrowing rate is 14% per year. Wake set the annual rental to ensure a 16% rate of return (the loss in service value anticipated for the term of the lease). Caswell knows the implicit interest rate.
6. Executory costs of $7,000 annually, related to taxes on the property, are paid by Caswell directly to the taxing authority on Dec. 31 of each year.
Required:
1. Determine what type of lease this is for the lessee.
2.
Prepare appropriate journal entries on the lessee’s books to reflect the signing of the lease agreement and to record the payments and expenses related to this lease for the years 2019 and 2020.
Question not attempted.
PAGE 2019
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Score: 0/113
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Points:
0 / 22
Record the payments and expenses related to this lease on December 31 for 2020.
Question not attempted.
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GENERAL JOURNAL
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Answers

3 I think I hope this helps

How much would you have had to invest now in an account paying 8% / year to to have $20,000 in 21 years

Answers

Answer:

PV= $3,978.115

Explanation:

Giving the following information:

Interest rate (i)= 8% = 0.08

Future value (FV)= $20,000

Number of periods (n)= 21 years

To calculate the lump-sum to be invested today, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 20,000 / (1.08^21)

PV= $3,978.115

Globalization of Market is taking place because of ___________.

Answers

Because it involves the growing in third dependency among. The Konomi‘s of the world; mold to national nature of sourcing, manufacturing, trading and investment activities increasing frequency of cross-border.

Swifty Corporation purchased a truck at the beginning of 2020 for $109600. The truck is estimated to have a salvage value of $4100 and a useful life of 123000 miles. It was driven 18000 miles in 2020 and 26000 miles in 2021. What is the depreciation expense for 2020?
a. $37752
b. $22308
c. $16639
d. $15444

Answers

Answer:

Annual depreciation= $15,444

Explanation:

Giving the following information:

Purchase price= $109,600

Salvage value= $4,100

Useful life= 123,000

Miles driven 2020= 18,000

To calculate the depreciation expense, we will use the units-of-production method:

Annual depreciation= [(original cost - salvage value)/useful life of production in miles]*miles drive

Annual depreciation= [(109,600 - 4,100)/123,000]*18,000

Annual depreciation= 0.858*18,000

Annual depreciation= $15,444

Assume that Jerome's available-for-sale portfolio had a total cost of $50,000 and a fair value of $46,000 on December 31 at the end of the first year it held the AFS securities . Make the necessary adjusting entry.

Answers

Answer:

Sep.15

Dr Investments in Available for sale securities 8900

Cr Cash 8900

30-Dec

Dr Other Comprehensive Income -(Unrealised loss-AFS) 4000

Cr Fair value adjustment-Stock 4000

31-Dec

Dr Fair value adjustment-Stock 1000

Cr Unrealised gain-Income 1000

Explanation:

Preparation of the journal entries

Books of Jerome Inc.

Sep.15

Dr Investments in Available for sale securities 8900

Cr Cash 8900

(Purchase of Notes of Topper Inc.)

30-Dec

Dr Other Comprehensive Income -(Unrealised loss-AFS) 4000

Cr Fair value adjustment-Stock 4000

(50000-46000)

31-Dec

Dr Fair value adjustment-Stock 1000

Cr Unrealised gain-Income 1000

(6000-5000)

(Unrealised holding period gain on Melina corporation stock hed as Trading securities)

A married couple with only one spouse currently working outside the home plans to retire in several years. An annuity that would be particularly suitable for saving for that retirement would be:_________
a. a straight life annuity on the life of the working spouse,
b. a straight life annuity on the life of the nonworking spouse,
c. a deferred joint and survivor annuity,
d. an immediate joint and survivor annuity.

Answers

Answer:

b i'm not sure but don't go by my answer please i don't want to get u wrong

Explanation:

Howard Inc. had prepaid rent of $79,000 and $88,000 at the end of Year 1 and Year 2, respectively. During Year 2, Howard recorded $244,000 in rent expense in its income statement. Cash outflows for rent in Year 2 were:

Answers

Answer:

the Cash outflows for rent in Year 2 is $253,000

Explanation:

The computation of the Cash outflows for rent in Year 2 is shown below:

Prepaid rent at year 2 $88,000

Add: rent expense $244,000

Less: prepaid rent in year 1 -$79,000

Cash outflows for rent in year 2 $253,000

Hence, the Cash outflows for rent in Year 2 is $253,000

Broker Bill has the exclusive listing for Terri’s home. Bill brought Terri an offer from Alexis, which Terri accepted. In order to expedite the transaction, Bill offered to handle the escrow if both Terri and Alexis agreed. Which statement is true?

Answers

Answer: Bill's offer is ethical and legal and he can accept compensation for handling the escrow.

Explanation:

An exclusive listing refers to the type of real estate listing agreement whereby a broker is chosen as the sole agent of the seller. It should be noted that the right to retain the property is held by the seller rand has no obligation to the broker.

Based on the information given, it can be infered that Bill's offer is ethical and legal and he can accept compensation for handling the escrow.

Fortuna Company is preparing its statement of cash flows. Cash disbursements during the year included:

Answers

Answer: $100,000

Explanation:

Financing activities are those that relate with how the company finances its operations and includes cashflows related to equity and long term liability.

The financing activities outflows here total:

= Payment of dividends to stockholders

= $100,000

The two other cashflows are considered investing activities.

Suppose that the inflation rate is 2% and the real terminal value of an investment is expected to be $82,500 in 4 years. Calculate the nominal terminal value of the investment at the end of year 4.

Answers

Answer: $89300.65

Explanation:

Based on the information given in the question, the nominal terminal value of the investment at the end of year 4 will be calculated thus:

Inflation rate = 2%

Real terminal value of investment = $82,500

Normal terminal value of investment will be:

= $82500 × (1+2%)⁴

= $82500 × (1 +0.02)⁴

= $82500 × 1.02⁴

= $89300.65

MC Qu. 111 A company has an overhead application... A company has an overhead application rate of 124% of direct labor costs. How much overhead would be allocated to a job if it required total labor costing $23,000

Answers

Answer:

$28,520

Explanation:

Calculation to determine How much overhead would be allocated to a job if it required total labor costing $23,000

Using this formula

Overhead=Total Labor Cost x Overhead Application Rate

Let plug in the formula

Overhead=$23,000 x 1.24

Overhead= $28,520

Therefore How much overhead would be allocated to a job if it required total labor costing $23,000 will be $28,520

Plastic Products Ltd is a company business whole the country that produces and markets plastic cups, teaspoons, knives and forks for the catering industry. The company was established in 2010 in response to the changes taking place in the catering industry. The growth of the fast-food sector of the market was seen as an opportunity to provide disposable eating utensils which would save on human resources and allow the speedy provision of utensils for fast customer flow. In addition, Plastic Products has benefited from the growth in supermarkets, convenience stores and food processed manufacturers. The expansion of sales and outlets has led Mr. Long, the sales manager, to recommend to Mr. An, the general manager, that the present sales force should be increased. Mr. Long believes that the new recruits should have experience of selling fast-moving consumer goods since essentially that is what his products are. Mr. An believes that the new recruits should be familiar with plastic products since that is what they are selling. He favors recruiting from within the plastics industry, since such people are familiar with the supply, production and properties of plastic field.

Answers

Answer:

ooffffano yan bul bul ka ba!?

Duerr company makes a $67,000, 90-day, 10% cash loan to Ryan Co. The maturity value of the loan is: (Use 360 days a year.)

Answers

Answer:

the maturity value of the loan is $68,675

Explanation:

The maturity value of the loan is shown below:

= Loan amount + interest charged

= $67,000 + ($67,000 × 10% × 90 days ÷ 360 days)

= $67,000 + $1,675

= $68,675

hence, the maturity value of the loan is $68,675

On March 1, 2018, Lewis Services issued a 5% long-term notes payable for $25,000. It is payable over a 5-year term in $5,000 principal installments on March 1 of each year, beginning March 1, 2019. Which of the following entries needs to be made on March 1, 2018?
A. Long - Term Notes Payable 25,000
Accounts Payable 25,000
B. Long - Term Notes Payable 5,000
Cash 5,000
C. Cash 25,000
Long - Term Notes Payable 25,000
D. Current Portion of Long - Term Notes Payable 25,000
Long - Term Notes Payable 25,000

Answers

Answer:

C. Cash 25,000

Long - Term Notes Payable 25,000

Explanation:

Based on the information given we were told that on MARCH 1, 2018, the company issued a 5% long-term notes payable for the amount of $25,000 which therefore means that the appropriate journal entries that is needed to be made on March 1, 2018 will be:

March 1, 2018

Dr Cash $25,000

Cr Long term notes payable $25,000

Blake Company purchased two identical inventory items. The item purchased first cost $34.00, and the item purchased second cost $35.00. Blake sold one of the items for $64.00. Which of the following statements is true?
A. The dollar amount assigned to ending inventory will be the same no matter which cost flow method is used.
B. Gross margin will be higher if Blake uses LIFO than it would be if FIFO were used.
C. Ending inventory will be lower if Blake uses weighted average than if FIFO were used.
D. Cost of goods sold will be higher if Blake uses FIFO than if weighted average were used.

Answers

Answer:

c

Explanation:

LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold.

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold

Weighted average is the average cost of the inventories bought over a period

If FIFO is used, ending inventory would be $35.

If weighted average is used , ending inventory = (34 +35) / 2 = $34.50

Thus, ending inventory will be lower if Blake uses weighted average than if FIFO were used

Gross margin = gross profit / revenue

If FIFO was used . gross margin = (64 - 34) / 64 = 0.469

If LIFO was used . gross margin = (64 - 35) / 64 = 0.453

Gross margin will be lower if Blake uses LIFO than it would be if FIFO were used.

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What is the amount of solute required if the solution is 50 ml and the solvent is 35 ml. Solve and explain I dont know what to do is my answers correct? Cuando se utiliza el punto y coma? Drag each label to the correct category.Decide whether each statement describes mass or weight.measured in newtonsmeasured in kilogramsdoes not change whengravity changeschanges when gravitychangesthe amount of matterin somethinga gravitational forceMassWeight Maria had never really thought much about her Italian heritage until she became friends with Aylin, an American of Middle Eastern descent. Through interaction with Aylin's family, Maria gradually began to realize that many of her own behaviors were culturally determined. In this scenario, Maria's experience illustrates the _____ imperative for studying intercultural communication. The core difference between phishing and spear-phishing is: a. spear-phishing has more specific targets than phishing b. phishing attacks via email, spear-phishing attacks via infected webpages c. phishing attacks via email, spear-phishing attacks via social media d. phishing is an outside attack; spear-phishing is an internal security check e. anti-virus software prevents phishing but not spear-phishing When triglycerides are metabolized, ___ is/are converted to pyruvate or glucose, whereas ____ is/are converted to acetyl CoA. Which gas has the greatest kinetic energy at STP?H2, Ne, N2 or none A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to? Betelgeuse (in Orion) has a parallax of 0.00451 + 0.00080 arcsec,as measured by the Hipparcos satellite. What is the distance to Betelgeuse, and what is the uncertainty in that measurement? which ORANGE came first?the Fruit or the Color? A piece of solid tin is submerged in silver nitrate solution a reaction occurs producing tin(IV) nitrate solution and solid silverWrite a word equation write a skeleton equation write a balanced chemical equation Which of the following correctly orders the types of radiation from the LONGEST wavelength to the SHORTEST wavelength?A. Green Visible Light, Red Visible Light, Blue Visible Light, UltravioletB. Microwave, Orange Visible Light, Ultraviolet, Violet Visible LightC. Red Visible Light, Infrared, Microwaves, Radio wavesD. Microwave, Blue Visible Light, Ultraviolet, Gamma The sun shines hot in summer , in question tag A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X. Which of the following statements correctly describe properties of an economic model? Check all that apply. A) An economic model requires a complex set of assumptions. B) An economic theory can be expressed in the form If X, then Y, all other things held constant. C) An economic model requires simplified assumptions. D) The purpose of an economic model is to depict the real world as accurately as possible. Letter to a Citizen of Kentucky, an excerptExecutive Mansion, Washington,April 4, 1864.A. G. Hodges, Esq., Frankfort, Ky.My Dear Sir: You ask me to put in writing the substance of what I verbally stated the other day, in your presence, to Governor Bramlette and Senator Dixon. It was about as follows: I am naturally anti-slavery. If slavery is not wrong nothing is wrong. I cannot remember when I did not so think and feel; and yet I have never understood that the Presidency conferred upon me an unrestricted right to act officially in this judgment and feeling. It was in the oath I took that I would to the best of my ability preserve, protect and defend the Constitution of the United States. I could not take the office without taking the oath. Nor was it in my view that I might take the oath to get power, and break the oath in using the power. I understood, too, that in ordinary civil administration this oath even forbade me to practically indulge my primary abstract judgment on the moral question of slavery. I had publicly declared this many times and in many ways; and I aver that, to this day I have done no official act in mere deference to my abstract judgment and feeling on slavery. I did understand, however, that my oath to preserve the Constitution to the best of my ability imposed upon me the duty of preserving, by every indispensable means, that government, that nation, of which that Constitution was the organic law. Was it possible to lose the nation, and yet preserve the Constitution? By general law, life and limb must be protected; yet often a limb must be amputated to save a life, but a life is never wisely given to save a limb. I felt that measures, otherwise unconstitutional, might become lawful by becoming indispensable to the preservation of the Constitution through the preservation of the nation. Right or wrong, I assumed this ground, and now avow it. I could not feel that to the best of my ability I had even tried to preserve the Constitution, if, to save slavery, or any minor matter, I should permit the wreck of government, country, and Constitution altogether. When, early in the war, General Fremont attempted military emancipation, I forbade it, because I did not then think it an indispensable necessity. When, a little later, General Cameron, then Secretary of War, suggested the arming of the blacks, I objected, because I did not yet think it an indispensable necessity. When, still later, General Hunter attempted military emancipation, I forbade it, because I did not yet think the indispensable necessity had come. When, in March and May and July, 1862, I made earnest and successive appeals to the Border States to favor compensated emancipation, I believed the indispensable necessity for military emancipation and arming the blacks would come, unless averted by that measure. They declined the proposition; and I was, in my best judgment, driven to the alternative of either surrendering the Union, and with it the Constitution, or of laying strong hand upon the colored element. I chose the latter. In choosing it, I hoped for greater gain than loss; but of this I was not entirely confident...Yours truly,A. LincolnUse context to determine the meaning of the words in bold. (4 points) Draw a triangle ABC, where AB = 8 cm , BC = 6 cm and angle B=70^ and locate its circumcentre and draw the circumcircle. Pls help meFreedomBY LANGSTON HUGHESFreedom will not comeToday, this yearNor everThrough compromise and fear.I have as much rightAs the other fellow hasTo standOn my two feetAnd own the land.I tire so of hearing people say,Let things take their course.Tomorrow is another day.I do not need my freedom when Im dead.I cannot live on tomorrows bread.FreedomIs a strong seedPlantedIn a great need.I live here, too.I want my freedomJust as you.questions: 1. Describe the speaker of the poem? Is the speaker involved in the action or outside of the action?2. Does the poem represent the speakers feelings at a particular moment in time or does it seem the speaker has had a chance to reflect on the significance of events?3. Identify and briefly explain the tension/conflict in the poem.4. How is the poem organized? Where do the shifts come?5. What is the most important line or sentence in the poem? Why?6. Do you notice any poetic devices used in the poem? In what lines do they appear? (Metaphor, simile, apostrophe, personification, etc.) Can someone please answer this