The owner of Kat Motel wants to develop a time standard for the task of cleaning a cat cage. In a preliminary study, she observed one of her workers perform this task six times, with the following results:Observation 1 2 3 4 5 6Time (secs) 109 117 117 128 125 129Required:What is the normal time for this task if the employee worked at a 32 percent slower pace than average and an allowance of 14 percent of job time is used?

Answers

Answer 1

Answer:

Standard Time = 206.6 secs

Explanation:

In order to calculate the time for this task if the employee worked at a 32 percent slower pace than average, we need to calculate the normal time first by using the following formula

Normal Time = Average element-time / performance rating

Average element time = Sum of observations / No. of observations

Average element time  = 109 +117 +117 +128 +125 +129 / 6

Average element time = 725/6 = 120.83

Performance rating = 100 - 32 = 68%

Normal Time = 120.83 / 0.68 = 177.7 secs

Standard Time = Normal Time / (1-Allowance)

Standard Time = 177.7 / (1-0.14)

Standard Time = 206.6 secs


Related Questions

Capital budgeting is the process of planning and controlling investments in assets that are expected to produce cash flows for one year or less. This statement is: False True

Answers

Answer:

false

Explanation:

Capital budgeting is the process taken to evaluate and determine the profitability of an investment. capital budgeting can be done for projects that have cash flows of more than one year

capital budgeting methods include :

Net present value

internal rate of return

accounting rate of return

payback period

A copy machine acquired on July 1 with a cost of $1,450 has an estimated useful life of four years. Assuming that it will have a residual value of $250, determine the depreciation for the first year by the double-declining-balance method.

Answers

Answer:

Annual depreciation= $300

Explanation:

Giving the following information:

Purchasing price= $1,450

Salvage value= $250

Useful life= 4 years

First, we need to determine the annual depreciation for the whole year using the following formula:

Annual depreciation= 2*[(book value)/estimated life (years)]

Annual depreciation= 2*[(1,450 - 250) / 4]

Annual depreciation= $600

Now, for 6 months:

Annual depreciation= (600/12)*6= $300

"Which of the following statements are TRUE regarding the rights agent? I The rights agent usually handles the mechanics of a rights offering II The rights agent is usually the existing transfer agent of the issuer III The rights agent issues the additional shares upon presentation of the rights certificates with payment"

Answers

Answer:

I, II, and III

I The rights agent usually handles the mechanics of a rights offering

II The rights agent is usually the existing transfer agent of the issuer

III The rights agent issues the additional shares upon presentation of the rights certificates with payment

Explanation:

Aright is defined as an offering to existing shareholders to purchase more shares. Usually there is a proportion of original shares the shareholder can now purchase. For example 1 to 5 shares means the shareholder can buy one share for every 5 old shares owned.

A rights agent is a person or entity that is responsible for maintaining records on behalf of rights holders.

When rights are issued, a rights agent is handles sales to shareholders, he is usually the initial transfer agent for the issuing company, and he issues the additional shares when payment and rights certificates are presented.

For each of the following scenarios, determine if there is an increase or a decrease in supply for the good in italics.

a. The price of silver increases.
b. Growers of tomatoes experience an unusually good growing season.
c. New medical evidence reports that consumption of organic products reduces the incidence of cancer.
d. The wages of low-skill workers, a resource used to help produce clothing, increase.

Answers

Answer:

a. The price of silver increases. - Supply Increase

As the price of silver increases, it will make silver more profitable therefore producers will increase production to take advantage of the higher prices to make more profit in total.

b. Growers of tomatoes experience an unusually good growing season. - Supply Increase

If growers of tomatoes experience a good season, it means that there will be more tomatoes to harvest. This will increase the supply of tomatoes.

c. New medical evidence reports that consumption of organic products reduces the incidence of cancer. - Supply Increase.

Supply of organic products will increase as a result of an anticipated and an actual increase in the demand for organic products as more people will buy them to avoid getting cancer.

d. The wages of low-skill workers, a resource used to help produce clothing, increase. - Supply Decrease

When inputs into the production process increase, producers will tend to cut down production to enable them save cost and maintain profitability. If the wages of low-skill workers increase, it will mean that an input is now more expensive so production of clothing will reduce thereby reducing its supply.

You are thinking of building a new machine that will save you $ 4 comma 000$4,000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 1 %1% per year forever. What is the present value of the savings if the interest rate is 9 %9% per​ year?

Answers

Answer:

The present value of the savings=$37,064.22

Explanation:

The present value of the savings is the amount that it worths today, this  would be done in two stages;

The first stage is to determined the present of the first cash savings as follows:

PV of the first payment = 4,000 × (1.09)^(-1)=3,669.72

Second step is to determine the present value of the declining perpetuity

PV of declining perpetuity. A perpetuity is the series of cash flow occurring for  the foreseeable future of years.

A- 4,000, g-negative growth rate = 1%,  

interest rate = 9%

PV in year 1 = 4,000× (1-0.09)/(0.09+0.01)

   = 36,400

PV in year 0 =   36,400  × (1.09)^(-1) = 33,394.49

The present value of the savings = 33,394.49 + 3,669.72= 37,064.22

The present value of the savings=$37,064.22

In the month of November, Carla Vista Co. Inc. wrote checks in the amount of $9,565. In December, checks in the amount of $11,465 were written. In November, $8,825 of these checks were presented to the bank for payment, and $10,285 in December. What is the amount of outstanding checks at the end of November? At the end of December?

Answers

Checks written in November $9,750

Less: Checks paid by bank in November $8,800

Checks outstanding at the end of November $950

Add: Checks written in December $11,762

Less: Checks paid by bank in December 10,889

Checks outstanding at the end of December $1,823

hope this helps!

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If actual overhead incurred during a period exceeds applied overhead, the difference will be a credit balance in the Factory Overhead account at the end of the period.
True or False

Answers

Answer:

faslee

Explanation:

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During the last five years, average daily occupancy at Autumn Acres nursing home has slid from 125 to 95 even though Autumn Acres has cut its daily rate from $125 to $115. Do these data suggest that occupancy would have been higher if Autumn Acres had raised its rates? What changes in nonprice demand factors might explain this change? (The supply, or the number of nursing home beds in the area, has not changed during this period.)

Answers

Answer:

no

Decline in the number of aged people in the population

The quality of care offered might have declined

Preference to be cared for at home instead of at care home

increase in death rate among the elderly

Explanation:

Even though, there seem to be a positive correlation between the price of daily rates and occupancy. it doesn't imply that increasing the rates would increase occupancy rates. there might be other factors explaining the decline.

some of these factors include :

1. decline in the number of the aged in the population : if the proportion of the aged in the population has reduced, the nursing home would experience a decline in residents

2. if the quality of care received by patients has also reduced, the aged might prefer other nursing homes.

3. there might be a shift in reference. the aged might prefer to be cared for at home by family and friends instead of staying in a nursing home.

Increase in death rate among the elderly : if there is an increase in mortality rate, the care home would experience a decline in occupancy

A company's flexible budget for 13,200 units of production showed sales, $54,120; variable costs, $21,120; and fixed costs, $18,000. The operating income expected if the company produces and sells 19,600 units is:

Answers

Answer:

Net income= $31,000

Explanation:

Giving the following information:

Production= 13,200

Sales= 54,120

Variable costs= $21,120

Fixed costs= $18,000

First, we need to calculate the unitary contribution margin:

Unitary contribution margin= total contribution margin/number of units

Unitary contribution margin= (54,120 - 21,120) / 13,200

Unitary contribution margin= $2.5

Now, for 19,600 units:

Total contribution margin= 2.5*19,600= 49,000

Fixed costs= (18,000)

Net income= 31,000

Q3) At an output level of 45,000 units, you calculate that the degree of operating leverage is 2.79. If output rises to 48,000 units, what will the percentage change in operating cash flow be

Answers

Answer:  18.6%

Explanation:

Degree of operating leverage =  % change in Operating cash flow / % change in output

% change in Output

= [tex]\frac{48,000 - 45,000}{45,000}[/tex]

= 6.7%

Degree of operating leverage =  % change in Operating cash flow / % change in output

2.79 = % change in Operating cash flow/ 6.7%

% change in Operating cash flow = 2.79 * 6.7%

% change in Operating cash flow = 18.6%

Movements in individual stock prices tend to be Group of answer choices positively correlated positively correlated with inflation negatively correlated positively correlated with changes in interest rates

Answers

Answer:

Option A (positively correlated) is the correct choice.

Explanation:

A stock for whom the valuation hasn't adjusted from over timeframe would have a slight Weighted Analysis and perhaps a product where price has plummeted and over timeframe would have a measured Analysis loss.The share price would typically vary considerably as shareholders purchase securities during the business day. Because more customers look to purchase something and decrease as companies began consuming more than just the stock, the stock value will change.

The other three choices are not related to the given situation. So that Option A would be the correct one.

Smiling Elephant, Inc., has an issue of preferred stock outstanding that pays a $6.10 dividend every year, in perpetuity. If this issue currently sells for $80.65 per share, what is the required return?

Answers

Answer:

7.56%

Explanation:

Calculation for the required return for Smiling Elephant

Using this formula

Required return =D/P0

Where,

D=$6.10

P0=$80.65

Let plug in the formula

Required return =$6.10/$80.65

Required return =0.0756×100

Required return =7.56%

Therefore the Required return for Smiling Elephant Inc will be 7.56%

Sales revenue for a sporting goods store amounted to $528,000 for the current period. All sales are on account and are subject to a sales tax of 11?%.
Which of the following would be included in the journal entry to record the sales? transaction?
A. A debit to Accounts Receivable for $ 586,080.
B. A credit to Accounts Receivable for $528,000.
C. A debit to Sales Tax Payable for $58,080.
D. A debit to Sales Revenue for $ 528,000.

Answers

Answer:

The answer is A. A debit to Accounts Receivable for $ 586,080

Explanation:

Sales tax is an additional amount of money one pays based on a percentage of the selling price of goods and services that are purchased.

The sales tax amount will be added to sales revenue to form the total bill.

Sales revenue ----------------- $528,00

Sales tax -------------------------- 11%

Sales tax amount

$528,00 x 0.11

= $58,080

Therefore, total bill is:

$528,00 + $58,080

=$586,080.

Debit increases an asset(accounts receivable) while credit decreases an asset(accounts receivable).

Since the accounts receivable will increase, it will be on debit side.

he financial manager at Starbuck Industries is considering an investment that requires an initial outlay of ​$24,000 and is expected to produce cash inflows of ​$1,000 at the end of year​ 1, ​$5,000 at the end of years 2 and​ 3, $14,000 at the end of year​ 4, ​$9,000 at the end of year​ 5, and ​$7,000 at the end of year 6. a. Select the time line option that represents the cash flows associated with Starbuck​ Industries' proposed investment. b. Which of the approaches—future value or present value—do financial managers rely on most often for decision​ making? Why?

Answers

Answer:

Please check the attached image for the timeline image.

present value. this is because in making the decision of whether to carry out a project, the decision is made at the beginning of of the project and not in the future. so it is important to determine the present value to know if the project is profitable and should be carried out.

Explanation:

Timeline is arranges a series of events in chronological order. cash inflows are recorded as positive while cash outflows have a negative sign in front of the amount.

present value is the sum of discounted cash flows

Which of the following business combinations is a vertical integration? A. The corner gas station buys the competitor across the street and shuts them down to increase its own market share. B. The corner gas station and the competitor across the street agree to set their prices at the same level. C. The corner gas station acquires the gasoline distributor to ensure they can get gas in times of shortages. D. The corner gas station starts selling fireworks during December/January and June/July.

Answers

Answer:

  C. The corner gas station acquires the gasoline distributor to ensure they can get gas in times of shortages.

Explanation:

Vertical integration is the situation where the same company owns both the sources of supply and the distribution (retail) outlets. The description of (C) matches this definition.

The Western Capital Growth mutual fund has: Total assets$812,000,000Total liabilities$12,000,000Total number of shares 40,000,000 What is the fund's net asset value (NAV) per share?

Answers

Answer:

The fund's net asset value (NAV) per share is $20.

Explanation:

Net Asset Value (NAV) = (Assets - Liabilities) ÷ Number of Shares

                                      = ($812,000,000 - $12,000,000) ÷ 40,000,000

                                      = $20

Conclusion :

The fund's net asset value (NAV) per share is $20.

With an increase in product advertising of $50 million you expect to increase sales by 10,000 units. If unit grow margin is $4,800, will the additional advertising increase product contribution?

Answers

Answer:

Income will decrease by $2,000,000.

Explanation:

Giving the following information:

Advertising increase= $50,000,000

Units increase= 10,000 units

Unit contribution margin= $4,800

To calculate the total effect on income, we need to use the following formula:

Effect on income= total contribution margin - increase in fixed costs

Effect on income= 10,000*4,800 - 50,000,000

Effect on income= $2,000,000 decrease

Income will decrease by $2,000,000.

Tucker Company makes chairs. Tucker has the following production budget for January - March.
January February March
Units Produced 9666 11971 9743
Each chair produced uses 4 board feet of wood. Management wants ending inventory levels of raw materials to equal 20% gf the production needs (in wood) for the next month.
How many board feet of wood does Tucker need to purchase in February? Round your answer to the nearest whole number.

Answers

Answer: 46,101 board feet of wood

Explanation:

Purchases can be calculated using the formula;

Purchases = Total Production Needs + Ending Inventory - Beginning Inventory

Total Production Needs

= Units produced * boards required per unit

= 11,971 * 4

= 47,884 units needed.

Ending Inventory.

This should be 20% of production needs for the next month

= 20% * (9,743 * 4)

= 7,794 units

Beginning Inventory

This will be the ending inventory of January. The ending inventory of January is 20% of February needs.

= 20% * 47,884

= 9,577 units.

Purchases for February = 47,884 + 7,794 - 9,577

= 46,101 board feet of wood

At a computer-consulting firm, the number of new clients that they have obtained each month has ranged from 0 to 6. the number of new clients has the probability distribution that is shown below. determine the expected number of new clients per month. # of clients probability 0 0.05 1 0.10 2 0.15 3 0.35 4 0.20 5 0.10 6 0.05

Answers

Answer:

3.05

Explanation:

The computer consulting firm is analyzing the performance of its company based on new clients each month. The data is given for six months and the probability distribution for number of new clients per month that the company has gained. The probability sum equals to 1 for the six months. The variance distribution is the squared value of each the difference by the mean. values of probability are squared and then their sum is taken to calculate variance deviation.

On January 1, 2020, the Oriole Company had $2,990,000 of $10 par value common stock outstanding that was issued at par and Retained Earnings of $1,150,000. The company issued 146,000 shares of common stock at $16 per share on July 1. On December 15, the board of directors declared a 10% stock dividend to stockholders of record on December 31, 2020, payable on January 15, 2021. The market value of Oriole Company stock was $17 per share on December 15 and $17 per share on December 31. Net income for 2020 was $580,000.

Required:
Journalize the issuance of stock on July 1 and the declaration of the stock dividend on December 15.

Answers

Answer:

Oriole Company

Journal Entries:

July 1:

Debit Cash Account $2,336,000

Credit Common Stock $1,460,000

Credit Paid-in In Excess of Common Stock $876,000

To record the issuance of 146,000 shares of common stock, par $10 at $16 per share.

December 15:

Debit Retained Earnings $445,000

Stock Dividends Payable $445,000

To record the declaration of a 10% stock dividend.

Explanation:

a) Stockholders of record on December 31, 2020:

Number of shares in issue at beginning 299,000

Number of shares issued on July 1          146,000

Total                                                          445,000

10% of 445,000 = 44,500 shares

b) Stock Dividends declared on December 15 will result to the issuance of 44,500 shares to stockholders.  To finance this stock dividend, the Retained Earnings account is debited while the Stock Dividends Payable is credited.  When the shares are issued on January 15, the Stock Dividends Payable (Distributable) will be debited and the Common Stock credited with the par value.  The market price of $17 does not affect the company's records.

The Cell Inc., a microbiology research laboratory headquartered in the United States, has been losing money. The CEO decides to outsource some production to companies in developing countries. This decision to shift functions or processes to less developed countries is most likely due to their

Answers

Answer:

ghjkgg 9ycutzts5a64sts64d6ix74s

The decision of the Ceo of Cell Inc. microbilogy research laboratory to outsource some production in developing countries so that maximum output and fast deliveries can be expected to customers and also by the company can focus on various other factors affecting the business.

What is a research laboratory?

The scientific lab where the experiments or products research are made so that new products can be made or existing can be replaced in chemical biological or physical aspects.

What is outsourcing?

The practice which is done by an individual or an organization by using third party to carry their business activities like performing tasks giving services to customers etc.

What is third party?

The company or an individual which comes in between two aspects and try to manage or solve the issue or give solutions

To know more about Outsourcing, click here

https://brainly.com/question/14202035

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Imprudential, inc., has an unfunded pension liability of $582 million that mustb be paid in 20 years. To assess the value of the firms stock, financialal analysts to discount the liability back to the present
If the relevant discount rate is 7.5 percent, what is the present value of this liability? (Enter your answer in dollars not in millions, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

Present value $137,010,452.17

Explanation:

Calculation for the present value of Imprudential, inc. liability

Using this formula

Present Value = FV / (1 + r)^t

Where,

FV =$582,000,000

=(1 + r)=(1+0.075=1.075)

t=20 Years

Let plug in the formula

Present Value = $582,000,000 / (1.075)^20

Present Value=$582,000,000/4.2478511

Present value= $137,010,452.17

Therefore the present value of Imprudential, inc. liability will be $137,010,452.17

According to the adaptive expectations theory, you are likely to underestimate inflation when the price level is increasing at a_____________ rate and to overestimate inflation when price level is increasing at a___________rate.
a. Increasing
b. Decreasing
c. Constant

Answers

Answer: increasing

Explanation:

Adaptive expectations hypothesis is a theory which states that economic agents such as the individuals, firms and the government will look at past events and experiences to make adjustments on future expectations.

According to the theory, one is likely to underestimate inflation when the price level is increasing at an increasing rate and to overestimate inflation when price level is increasing at an increasing rate.

The common stock of Auto Deliveries currently sells for $28.99 a share. The stock is expected to pay an annual dividend of $1.34 per share next year. The firm has established a pattern of increasing its dividends by 4 percent annually and expects to continue doing so. The estimated market rate of return on this stock is _______ percent.

Answers

Answer:

8.62%

Explanation:

The common stock of Auto deliveries currently sells for $28.99 per share

The stock is expected to pay a dividend of $1.34

The growth rate is 4%

= 4/100

= 0.04

Therefore, the market rate of return on the stock can be calculated as follows

Market rate= dividend/stock price + growth rate

= $1.34/$28.99 + 0.04

= 0.04622+0.04

= 0.0862×100

= 8.62%

Hence the estimated market rate of return on the stock is 8.62%

Petra Company uses standard costs for cost control and internal reporting. Fixed costs are budgeted at $36,000 per month at a normal operating level of 10,000 units of production output. During October, actual fixed costs were $40,000 and actual production output was 12,000 units.

Required:
a. Determine the fixed overhead budget variance.
b. Assume that the company applied fixed overhead to production on a per-unit basis. Determine the fixed overhead volume variance.

Answers

Answer: tough

Explanation:

Gaines Corporation invested $126,000 to acquire 26 comma 000 shares of Owens​ Technologies, Inc. on March​ 1, 2018. On July​ 2, 2019, Owens pays a cash dividend of $ 3.25 per share. The investment is classified as equity securities with no significant influence. Which of the following is the correct journal entry to record the transaction on July​ 2, 2019?

a. Cash 78,000
Equity Investments 78,000

b. Cash 78,000
Retained Equipment 78,000

c. Equity Investments 78,000
Cash 78,000

d. Cash 78,000
Dividend Revune 78,000

Answers

Answer:

Cash Dr, $84,500

Dividend revenue $84,500

Explanation:

The Journal entry is shown below:-

Cash Dr, $84,500 (26,000 × $3.25)

              To Dividend revenue $84,500

(Being dividend is recorded)

To record the dividend, we debited the cash as it increased the assets  and we credited the dividend revenue as  it also increased the revenue

Therefore the above entry is the right and the same is not given in the option.

From past records it is known that 10% of items from a production line are defective. If two items are selected at random, what is the probability that only one is defective?

Answers

Answer:

0.2

Explanation:

The Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The 10% of the items from the production line are assumed to be defective. There is a sample selection of 2 items. The probability that one of the item among the selected sample of two items is found defective is 0.2 (2 items sample *10%)

A company’s perpetual preferred stock pays an annual dividend of $2.10 per share. The preferred stock’s market value is $36.04 per share and the company’s tax rate is 30%. If the flotation costs for preferred stock are 6%, what is the company’s annual cost of new preferred stock financing? Question 4 options: 1) 5.87% 2) 7.25% 3) 6.54% 4) 6.20% 5) 5.41%

Answers

Answer:

6.20%

Explanation:

The company’s annual cost of new preferred stock financing is the annual dividend payable on the preferred stock divided by the net price of the stock

annual dividend is $2.10

net price=market price*(1-flotation cost %)

net price=$36.04 *(1-6%)

net price=$ 33.88  

company’s annual cost of new preferred stock financing=$2.10/$33.88

company’s annual cost of new preferred stock financing==6.20%

Data for 2021 were as follows: PBO, January 1, $243,000 and December 31, $278,000; pension plan assets (fair value) January 1, $186,000, and December 31, $233,000. The projected benefit obligation was underfunded at the end of 2021 by:

Answers

Answer:

$45,000

Explanation:

Computation for the projected benefit obligation

December 31 PBO($278,000)

December 31 Plan assets 233,000

Funded status($45,000)

Therefore the projected benefit obligation was underfunded at the end of 2021 by: $45,000

Massena Corporation reported the following data for the month of February:
Inventories: Beginning Ending
Raw materials (Direct and Indirect) $40000 $24000
Work in process $23000 $17000
Finished goods $50000 $72000
Additional information:
Raw materials purchases $63000
Direct labor cost $73700
Manufacturing overhead $55000
cost actually incurred
Raw materials included in
manufacturing overhead costs
incurred as indirect materials $5000
Manufacturing overhead cost
applied to Work in Process $48000
The adjusted cost of goods sold that appears on the income statement for February is:____
$=

Answers

Answer:

$186,700

Explanation:

The computation of adjusted cost of goods sold is shown below:-

Before that we need to do the following calculations

Raw material consumed = Beginning raw material + Raw material purchases - Ending raw materials - Raw materials included in  manufacturing overhead costs  as indirect materials

= $40,000 + $63,000 - $24,000 - $5,000

= $74,000

Total manufacturing cost = Beginning work in progress + Raw material consumed + Direct labor cost + Manufacturing overhead cost - Ending work in progress

= $23,000 + $74,000 + $73,700 + $48,000 - $17,000

= $201,700

Unadjusted Cost of goods sold = Raw materials + Total manufacturing cost - Ending finished goods

= $50,000 + $201,700 - $72,000

= $179,700

Adjusted COGS = Unadjusted Cost of goods sold + Underapplied overhead

= $179,700 + ($55,000 - $48,000)

= $179,700 + $7,000

= $186,700

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Look at picture to see question Energy sustainability can best be achieved by using ______. a. nonrenewable energy sources b. renewable energy sources c. carbon sequestration d. recycled plastics Please select the best answer from the choices provided A B C D Zebra, Inc., a calendar year S corporation, incurred the following items this year. Sammy is a 40% Zebra shareholder throughout the year. Operating income (sales) $100,000 Cost of goods sold (40,000) Depreciation expense (MACRS) (10,000) Administrative expenses (5,000) 1231 gain 21,000Depreciation recapture income $25,000 Short-term capital loss from stock sale (6,000) Long-term capital loss from stock sale (4,000) Long-term capital gain from stock sale 15,000 Charitable contributions (4,500)a. Calculate Sammys share of Zebras nonseparately computed income or loss. b. Calculate Sammys share of any Zebra long-term capital gain. Which statement is false?Structures are derived data types.Each structure definition must end with a semicolon.A structure can contain an instance of itself.Structures may not be compared using operators == and !=. A plane progressivethe expressionin time, yswhere youprogressivo ware is no presented by(At + Ay- 5 sinin metre, t es in time the doplicenselCalculatethe amplitude of the wave. Despite his being somewhat short-tempered, his willingness to give of hiswealth to help others to succeed led peopleto call him(A3898hastafoolishbenevolenold fashioned Solve for x: 4x - 2 > 6x + 8. (5 points)x5x-5 which equation is correct?arccsc(x)=1/cos(x) Assuming that the physical output (i.e., the actual quantity of all final goods and services) of all final goods and services remains constant, if the general price level in the economy triples, so does nominal output. a) trueb) false Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identifythe minimum y-value of the function.Please answer ASAP!!! from the figure below identify a)Obtuse vertically opposite angles b) A pair of adjacent complementary angles c) a pair of equal supplementary angles d) a pair of unequal supplementary angles e) a pair of adjacent angles that dont form a linear pair 01:Which expression can be used to model the phrase the sum of three and a number? 6. Explain why household measurement devices, such as teaspoons and tablespoons, should be avoided when measuring dosages? Help ASAP!!!!Solve for X. Round to the nearest hundredth if necessary. Hard-line defenders of slavery who convened a Southern rights convention in Nashville to deviseand adopt some mode of resistance to Northern aggression were known as?O Young Americansconductors'O Confederatesfire-eaters' Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Lis suitcase without going over the 50-pound limit. What is the solution set?x Less-than-or-equal-to 2.25x Less-than-or-equal-to 2.75x Greater-than-or-equal-to 2.25x Greater-than-or-equal-to 2.75 Most of what we read is based on fact. True False Find the center and radius of x^2 18x + y^2 -10y = -6. part two write x2 18x + y2 -10y = -6 in standard form HEREEEEEEEEEEEEEElollll Much to the chagrin of some Americans, conventional light bulbs were effectively banned in 2014 leaving only compact florescent lights (CFLs) on store shelves. The ban was encouraged, in part, by the makers of the more expensive CFLs. Which concept is best captured in this story?