A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product are:

Answers

Answer 1

Answer:

1. The correct option is C. 54.

2. The correct option is E. 60.

3. The correct option is A. 3.

4. The correct option is E. 90%.

5. The correct option is E. y.

Explanation:

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

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product:

Task           Time (sec)            Immediate Predecessor

u                      30                                   none

v                      30                                    u

w                      6                                      u

x                       12                                    w

y                      54                                     x

z                      30                                    v, y

1. Without regard to demand, what is the minimum possible cycle time (in seconds) for this situation?

A. 162

B. 72

C. 54

D. 12

E. 60

2. If the company desires that output rate equal demand, what is the desired cycle time (in seconds)?

A. 162

B. 72

C. 54

D. 12

E. 60

3. If the company desires that output rate equal demand, what is the minimum number of workstations needed?

A. 3

B. 4

C. 5

D. 6

E. 7

4. If the company desires that output rate equal demand, what would be the efficiency of this line with the minimum number of workstations?

A. 100%

B. 92.5%

C. 75%

D. 87.5%

E. 90%

5. If the company desires that output rate equal demand, what is the last task performed at the second workstation in the balance which uses the minimum number of workstations?

A. u

B. v

C. w

D. x

E. y

The explanation of the answers is now provided as follows:

1. Without regard to demand, what is the minimum possible cycle time (in seconds) for this situation?

The minimum cycle time is equal to the maximum task time. From the data in the question, it can be seen that the maximum task time is 54. Therefore, the correct option is C. 54. That is, the minimum possible cycle time (in seconds) for this situation is 54.

2. If the company desires that output rate equal demand, what is the desired cycle time (in seconds)?

Desired cycle time (in seconds) = Demand rate / Number of hours per days = 480 / 8 = 60

Therefore, the correct option is E. 60.

3. If the company desires that output rate equal demand, what is the minimum number of workstations needed?

Total task time = 30 + 30 + 6 + 12 + 54 + 30 = 162

Minimum possible cycle time = 54

Therefore, we have:

Minimum number of workstations needed = Total task time / Minimum possible cycle time = 162 / 54 = 3

Therefore, the correct option is A. 3.

4. If the company desires that output rate equal demand, what would be the efficiency of this line with the minimum number of workstations?

Line efficiency = Total task time / (Minimum number of workstations needed * Desired cycle time) = 162 / (3 * 60) = 162 / 180 = 0.90, or 90%

Therefore, the correct option is E. 90%.

5. If the company desires that output rate equal demand, what is the last task performed at the second workstation in the balance which uses the minimum number of workstations?

The last task should be the one has the longest task time. From the data table in the question, it can be observed that y is the task that has the longest task time. This implies y is the task to perform last.

Therefore, the correct option is E. y.


Related Questions

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

Answers

Answer: $25,802.70

Explanation:

Social security

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

= 12.40% * 300,000

= $17,074.80

Medicare Tax

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

= 300,000 * (1 - 7.65%)

= $277,050

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

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

= 8,034.45 + 693.45

= $8,727.90

Total Social security and Medicare:

= 17,074.80 + 8,727.9

= $25,802.70

Tangerine, Inc. provides the following data: Surround, Inc. Comparative Balance Sheet Dec. 31, 20X9 Assets Current Assets: Cash and Cash Equivalents $29,000 Account Receivable, Net 31,000 Merchandise Inventory 53,000 Total Current Assets $113,000 Property, Plant, and Equipment, Net 120,000 Total Assets $233,000 Liabilities Current Liabilities: Accounts Payable $4000 Notes Payable 3000 Total Current Liabilities $7000 Long-term Liabilities 84,000 Total Liabilities $91,000 Stockholders' Equity Common Stock $30,000 Retained Earnings 112,000 Total Stockholders' Equity $142,000 Total Liabilities and Stockholders' Equity $233,000 Calculate the debt to equity ratio.

Answers

Answer:

The debt to equity ratio is 0.64.

Explanation:

The debt to equity ratio can be calculated using the following formula:

Debt to equity ratio = Total Liabilities / Stockholders' Equity ……………………. (1)

Where:

Total Liabilities = $91,000

Stockholders' Equity = $142,000

Substitute the relevant data into equation (1), we have:

Debt to equity ratio = $91,000 / $142,000 = 0.64

Therefore, the debt to equity ratio is 0.64.

_____ stock is the number of shares that a corporation's charter allows it to sell. The number of these shares usually exceeds the number of shares issued (and outstanding), often by a large amount.

Answers

An authorized stock is the number of shares that a corporation's charter allows to sell.

Authorized stock is the legal number or limit of shares that a company allows or authorizes to be sold or put in the market. This factor of policy is applicable as per the charter that the corporation allows or is legally viable to provide.

In the issue of sharing shares of a company, an organization can allow only a certain limit of shares that can be sold. This limit is the number of shares that a corporation can issue to its shareholders or investors.This stock is different from issued stock which refers to the actual number of stocks that the company has sold.Rather, authorized stock is the amount of shares that can be sold by the company and being provided in the market to be bought by shareholders or investors.

Thus, we can conclude that whatever limit a corporation allows or provides to be sold is the authorized stock. And it is only this number of shares that can be issued or given to a shareholder to buy.

Learn more about authorized stock here:

brainly.com/question/7868920

o What’s the Difference Between Non-Formal and Informal Learning

Answers

Answer:

I hope this will help you

Kluber, Inc. had net income of $911,000 based on variable costing. Beginning and ending inventories were 56,100 units and 54,200 units, respectively. Assume the fixed overhead per unit was $1.80 for both the beginning and ending inventory. What is net income under absorption costing?
a. $811,730
b. $904,160
c. $1,010,270
d. $907,580
e. $911,000

Answers

Answer:

Net operating income (absorption)= $907,580

Explanation:

Giving the following information:

Fixed overhead per unit= $1.80

Net income= $911,000 (variable costing)

Beginning inventory= 56,100 units

Ending inventory= 54,200 units

Under absorption costing, fixed manufacturing overhead is a product cost. We need to incorporate into the cost of goods sold the fixed overhead from beginning inventory and deduct the fixed overhead allocated into ending inventory.

Net operating income= 911,000

Less:

Fixed overhead beginning inventory= (1.8*56,100)

Add:

Fixed overhead ending inventory= (1.8*54,200)

Net operating income (absorption)= $907,580

McKean Corporation authorized 500,000 shares of common stock in its articles of incorporation. On May 1, 2019, 100,000 shares were sold to the company's founders. However, on October 15, 2019, McKean repurchased 20,000 shares to settle a dispute among the founders. At this date, how many shares were issued and outstanding, respectively?

Answers

Answer:

100,000 shares and 80,000 shares

Explanation:

Calculation to determine how many shares were issued and outstanding, respectively

The shares that were issued will be 100,000 shares that were sold to the company's founders while the shares outstanding will be 80,000 shares Calculated as :

Shares outstanding=Shares issued -Shares repurchased

Shares outstanding=100,000 shares-80,000 shares

Shares outstanding =80,000 shares

Therefore the Number of shares that were issued and outstanding, respectively are:100,000 shares and 80,000 shares

Sybil, age 40, is single and supports her dependent parents who live with her, as well as her grandfather who is in a nursing home. She has AGI of $80,000 and itemized deductions of $8,000. What is the taxable income?

Answers

Answer:

$61,650

Explanation:

Calculation to determine the taxable income

Adjusted Gross Income (AGI) $80,000

Deduct Standard deduction (head of household) ($18,350)

Taxable Income $61,650

($80,000-$18,350)

Therefore the vthe taxable income is $61,650

The following data relate to direct materials for the month for the Hodge Wax Company: The standard costs for the work done was 5,900 pounds of wax at $9.50 per pound. The actual costs were 6,300 pounds at $9 per pound. What is the direct materials efficiency variance

Answers

Answer: $3800 U

Explanation:

The direct material efficiency variance will be calculated as follows:

Direct material efficiency variance = (Standard quantity - Actual quantity) × Standard price of material

= (5900 - 6300) × 9.50

= 400 × 9.50

= $3800 U

Therefore, the direct material efficiency variance is $3800 Unfavorable.

As operations manager, you are concerned about being able to meet sales requirements in the coming months. You have just been given the following production report: JAN FEB MAR APR Units produced 2,250 1,750 2,750 2,950 Hours per machine 318 194 393 315 Number of machines 5 7 6 5 Find the average of the monthly productivity figures (units per machine hour).

Answers

Answer: 2.81 per hour

Explanation:

Average monthly productivity = (January productivity + February productivity + March productivity + April productivity) / 4

January productivity:

= Units produced / ( Hours per machine * Number of machines )

=  2,250 / ( 318 * 2 )

= 3.537

February productivity:

= 1,750/ ( 194 * 4 )

= 2.255

March productivity:

= 2,750 / ( 393 * 3 )

= 2.332

April productivity:

= 2,950/ ( 315 * 3)

= 3.121

Average monthly productivity = (3.537 + 2.255 + 2.332 + 3.121)/ 4

 = 2.81 per hour

Why do tourism business have market cost for the printing​

Answers

Answer:

Launching tourist ventures involves overcoming two major hurdles: first, the venture must be

financed; and second, demand must be generated. In particular, the marketing of tourism and

hospitality ventures provides special challenges, the ability to reach the target market and convince

them to travel to remote locations being a critical success factor (Dolli, N.; Pinfold, J.F., 1997). Thus,

the main issue related to the marketing of tourist services is not their production, but their sale and

promotion, so as to ensure that all the consumers’ needs are comprehensively satisfied. (Nistoreanu,

P., 2006).

It is in this context that both the producers as well as the suppliers (intermediaries) of tourism services

should take into consideration the fact that a touristic product is sold only if there is a demand on the

market for that particular product. This means that suppliers have the possibility to either offer what is

requested on the market, responding to the consumers’ needs, or to stimulate or generate the demand

for a certain product so as to facilitate the selling of that product. In both cases, however, the

producers and suppliers need to apply a promotion strategy, through which potential clients may be

informed with regard to the offer on the market, as well as induce the clients’ desire to consume a

certain product.

Explanation:

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

trình bày các vai trò của đạo đức kinh doanh trong phát triển doanh nghiệp

Answers

Answer:

Explanation:

Trung thực: Tính trung thực trong đạo đức kinh doanh thể hiện ở chỗ không buôn bán, sản xuất những mặt hàng nhà nước cấm, không dùng các chiêu trò dối trá để đạt được lợi ích của mình, không trốn thuế, làm ăn phi pháp; không tham ô, hối lộ; trung thành chấp hành đúng quy định của pháp luật…

Tôn trọng con người: Tôn trọng con người bao gồm tôn trọng nhân viên, đối tác khách hàng, đối thủ cũng như tất cả những người làm việc cùng với mình

Đạo đức kinh doanh gắn liền lợi ích của công ty doanh nghiệp với lợi ích chung của khách hàng và trách nhiệm đối với xã hội

A company like Motorola might establish a goal of reducing its inventory by 50 percent over the next year. To ensure that it reaches this goal, the company could monitor its progress on a quarterly or monthly basis. If the managers at Motorola discover that there is a danger of not achieving this goal, they can take corrective action to adjust for the deficiency. This is a description of the managers' ____ function.

Answers

Answer:

stfhgocovovohdj vbb

Explanation:

sryyy

At year-end (December 31), Chan Company estimates its bad debts as 0.30% of its annual credit sales of $896,000. Chan records its Bad Debts Expense for that estimate. On the following February 1, Chan decides that the $448 account of P. Park is uncollectible and writes it off as a bad debt. On June 5, Park unexpectedly pays the amount previously written off. Prepare Chan's journal entries for the transactions.

Answers

Answer:

Explanation:

Dec 31:

Debit Bad debts expense = 0.003 × $896000 = $2688

Credit Allowance for doubtful accounts = $2688

February 1:

Debit Allowance for doubtful accounts $448

Credit Accounts receivable—P. Park $448

June 5:

Debit Accounts receivable—P. Park $448

Credit Allowance for doubtful accounts $448

June 5:

Debit Cash $448

Credit Accounts receivable—P. Park $448

Standish Company manufactures consumer products and provided the following information for the month of February:

Units produced 131,000
Standard direct labor hours per unit 0.20
Standard fixed overhead rate (per direct labor hour) $2.50
Budgeted fixed overhead $65,000
Actual fixed overhead costs $68,300
Actual hours worked 26,350

Required:
a. Calculate the fixed overhead spending variance using the formula approach.
b. Calculate the volume variance using the formula approach.

Answers

Answer and Explanation:

The computation is shown below:

a. Fixed overhead Spending Variance is

= Budgeted Fixed Overhead - Actual Fixed overhead

= $65000 - $68300

= - $3300 (unfavorable)

b.

Fixed Overhead Volume Variance is

= (131000 × 0.20 × $2.50) - $65000

=$65500 - $65000

= $500 Favorable

In this way these can be determined

A new machine requires an investment of $630,000 and will generate $100,000 in cash inflows for 7 years, at which time the salvage value of the machine will be $130,000. Using a discount rate of 10%, the net present value of the machine is $_________

Answers

Answer:

$-76,447.56

Explanation:

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator  

Cash flow in Y0 = -630,000

Cash flow in Y1 - Y6 = 100,000

Cash flow in Y7 = 100,000 + 130,000

I = 10%

npv = $-76,447.56

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

Answer:

-76,510, (76,510)

Explanation:

Milltown Company specializes in selling used cars. During the month, the dealership sold 32 cars at an average price of $16,000 each. The budget for the month was to sell 30 cars at an average price of $17,000. Compute the dealership's sales price variance for the month.

Answers

Answer:

-$32,000

Explanation:

The sales price variance is a measure used determine the difference between an entity's expected price of a product or service and its actual sales price. It may be favorable or unfavourable to the company and may be calculated as

Sales price variance =  Actual quantity sold * (actual selling price - budgeted selling price)

Hence given that  the dealership sold 32 cars at an average price of $16,000 each while the budget was to sell 30 cars at an average price of $17,000,

Sales price variance = 32 ($16,000 - $17,000)

= -$32,000

The minus indicates unfavourable sales price variance

In the small country of Economerica, there are 6 thousand people employed, 1 thousand people unemployed, and 3 thousand people of working age not included in the labor force. One thousand students graduate from the university and seek jobs in the country, but not one graduate is able to find one. Half of the new graduates believe there is no chance of finding a job and return home to live with their parents. Ceteris Paribus, what would the new unemployment rate be in Economerica?
A. 14.29%
B. 20.00%
C. 25.00%
D. 45.45%

Answers

Answer: B. 20.00%

Explanation:

Unemployment rate does not include those who have given up on finding a job.

Unemployment rate = Unemployed people / Labor force

Unemployed people:

= Original unemployed + half the new graduates

= 1,000 + (1,000 / 2)

= 1,500 people

Labor force:

= Unemployed + employed people

= 1,500 + 6,000

= 7,500 people

Unemployment rate:

= 1,500 / 7,500

= 20%

difference between price consumption curve and income consumption curve​

Answers

Answer:

Price-consumption curve is a graph that shows how a consumer's consumption choices change when price of one of the goods changes. Income-consumption curve is a similar graph which traces changes in demand in response to changes in income.

Fruit Computer Company makes a fruit themed computer. Variable costs are $220 per unit, and fixed costs are $32,000 per month. Fruit Computer Company sells 500 units per month at a sales price of $300. The company believes that it can increase the price if the computer quality is upgraded. If so, the variable cost will increase to $240 per unit, and the fixed costs will rise by 50%. The CEO wishes to increase the company's operating income by 25%. Which sales price level would give the desired results

Answers

Answer:

Fruit Computer Company

The sales price level that would give the desired results is:

= $356 per unit

Explanation:

a) Data and Calculations:

Variable costs per unit = $220

Fixed costs per month = $32,000

Monthly sales units = 500 units

Selling price per unit = $300

                                  Before Change   After Change

Sales revenue                $150,000       $178,000 ($168,000 + $10,000)

Variable costs                   110,000         120,000

Fixed costs                        32,000           48,000

Total costs                     $142,000       $168,000

Operating income            $8,000          $10,000 ($8,000 * 1.25)

The sales price level that would give the desired results is $356 ($178,000/500).  This represents an increase of 18.7% ($56/$300 * 100).

what is the meaning of want​

Answers

Answer:

Want is to desire something or to yearn. (EX. I want an ice cream.) Want is showing that you would like something basically

Explanation:

In economics, a want is something that is desired. ... Wants are often distinguished from needs. A need is something that is necessary for survival (such as food and shelter), whereas a want is simply something that a person would like to have.

On January 1, 20Y2, Hebron Company issued a $175,000, five-year, 8% installment note to Ventsam Bank. The note requires annual payments of $43,830, beginning on December 31, 20Y2.Journalize the entries to record the following:

Answers

Answer and Explanation:

The journal entries are shown below:

1. Cash Dr $175,000

     To note payable $175,000

(being note payable is issued)

2. Interest expense Dr (8% of $175,000) $14,000

        To interest payable $14,000

(being interest expense is recorded)

3. Interest payable $14,000

Note payable $29,830

       To cash $43,830

(being cash paid is recorded)

4. Interest expense $6,253

          To interest payable $6,253

(being interest expense is recorded)

5.  Interest payable $6,253

Note payable $37,577

       To cash $43,830

(being cash paid is recorded)

which of the following would be included in the set of electrical plans for individual residence?

A. Individual romex cables
B. Power panels to be installed
C. routes of cables
D. Wire sizes

Answers

Answer:

A. Individual romex cables

Explanation:

Individual romex cables would be included in the set of electrical plans for individual residence.

This is because they are a non-metallic sheathed cables, and they are flexible electrical cables which are popularly used in residential setups.

This cable comes with two insulated wires that include a ground copper wire that ensures safe passage of electrical current in case of any unfortunate event.

Granfield Company is considering eliminating its backpack division, which reported an operating loss for the recent year of $42,200. The division sales for the year were $963,800 and the variable costs were $477,000. The fixed costs of the division were $529,000. If the backpack division is dropped, 40% of the fixed costs allocated to that division could be eliminated. The impact on Granfield's operating income for eliminating this business segment would be:__________.
a. $275,200 increase
b. $486,800 decrease
c. $211,600 increase
d. $275,200 decrease
e. $486,800 increase

Answers

Answer:

d. $275,200 decrease

Explanation:

Calculation to determine what The impact on Granfield's operating income for eliminating this business segment would be:

Using this formula

Impact on operating income =Saving in relevant fixed cost -loss of Contribution margin of backpack Division

Let plug in the formula

Impact on operating income=($529,000*40%)-($963,800-$477,000)

Impact on operating income=$211,600-$486800

Impact on operating income=$275,200 decrease

Therefore The impact on Granfield's operating income for eliminating this business segment would be:$275,200 decrease

When the price of paintings is set at $500, the local art gallery supplies 20 paintings per week. When the price of paintings increases to $750, the gallery supplies 25 paintings. Calculate the price elasticity of supply using the mid-point formula. Instructions: Round your answer to two decimal places. If you are entering a negative number be sure to include a negative sign (-) in front of that number. The price elasticity of supply is: .

Answers

Answer:

the  price elasticity of supply is 0.555

Explanation:

The computation of the price elasticity of supply is given below:

= Percentage change in quantity supplied ÷ percentage change in price

= (25 - 20) ÷ (25 + 20) ÷ 2 ÷ (750 - 500) ÷ (750 + 500) ÷ 2

= 5 ÷45 ÷ 250 ÷ 125

= 0.555

Hence, the  price elasticity of supply is 0.555

The same is relevant

On whom the trade bill drawn ?​

Answers

The bill of exchange is drawn by the seller of the goods and is accepted by the buyer.

On January 1, Parson Freight Company issues 7.0%, 10-year bonds with a par value of $4,500,000. The bonds pay interest semiannually. The market rate of interest is 8.0% and the bond selling price was $4,194,222. The bond issuance should be recorded as:

Answers

Answer: Debit Cash $4,194,222; Debit Discount on bonds payable $305,778; Credit Bonds payable $4,500,000

Explanation:

Based on the information given in the question, the journal entry will be prepared as follows:

Debit Cash $4,194,222

Debit Discount on bonds payable $305,778

Credit Bonds payable $4,500,000

Note that the discount on Bonds Payable was calculated as:

= $4,500,000 - $4,194,222

= $305,778

The country of Bolivia had a Gross Domestic Product of $79 billion in 2016 and a population of 11 million people, the GDP per capita would be ________.

Answers

Answer:

The GDP per capita of country of Bolivia would be $7,181.82.

Explanation:

GDP Per capita refers to a measure that calculates a country's economic output per person by dividing its GDP by its population.

Therefore, we have:

GDP per capita = GDP / Population = $79 billion / 11 million = $79,000,000,000 / $11,000,000 = $7,181.82

Therefore, the GDP per capita of country of Bolivia would be $7,181.82.

Assume Sheryl Jenkins wants to accumulate $ 13,241.39 in two years. She currently has $ 10,621.36 to invest. What interest rate must she earn on her investment (that is, if she deposits $ 10,621.36 today) to have $ 13,241.39 exactly two years from today?

Answers

Answer: 11.65%

Explanation:

The $13,241.39 is a future value amount as it is what is to be accumulated in 2 years.

Future value formula therefore applies:

Future value = Current value * ( 1 + interest rate) ^ no. of years

13,241.39 = 10,621.36 * ( 1 + i) ²

(1 + i)² = 13,241.39 / 10,621.36

(1 + i)² = 1.24667556697

1 + i = √1.24667556697

i = 1.116546267 - 1

i = 11.65%

You own a stock portfolio invested 30 percent in Stock Q, 25 percent in Stock R, 25 percent in Stock S, and 20 percent in Stock T. The betas for these four stocks are .80, 1.18, 1.19, and 1.36, respectively. What is the portfolio beta

Answers

Answer:

The Portfolio beta is 1.1045

Explanation:

The computation of the portfolio beta is given below:

Stock          Beta       Investment (Weight)       Weighted Beta

Stock Q      0.8         0.3                                   0.2400

Stock R       1.18       0.25                                  0.2950

Stock S       1.19       0.25                                  0.2975

Stock T        1.36      0.2                                    0.2720

Portfolio beta                                                  1.1045

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The ratio of Mitchell's age to Connor's age is 8:5. In thirty years, the ratio of their ages will be 6:5. How much older is Mitchell than Connor now? The majority of immigrants that entered the United States during the industrial age came from if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and yplz help me If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Round to two decimal places if necessary. Why Was The necessity of getting a constitution fromlated by a popularly elected constitution assembly felt after the second popular movement 2062 / 63 ? list the reasons. Independent PracticeWhich model is most appropriate for the set of points?(2, 5), (1, 1), (0, 3), (1, 1), (2, 5)A.exponentialB.linearC.quadratic When neuroscientists employ the term "nucleus", they are usually referring to:_____.a. a cluster of glial cells in the dorsal-medial CNS.b. a neural unit composed of anatomically and functionally related neurons.c. a group of homologous ganglia located either in the cortex or in the cerebellum.d. cognitively synchronized clusters of apical dendrites anywhere in the PNS. Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.Question 4 options:A) A = (45,000)e0.02tB) A = 45,000 + e0.02tC) A = (45,000)e0.02tD) A = 45,000 + e0.02t If x+y=8 and xy =15 find the value of x+y. Eun Sun is a young and enthusiastic intern in a law firm and puts a lot of effort into her work. Her boss, however, never appreciates her work; he rather increases her workload every time she submits something for his approval. Though she is quite content with the nature of the work and the pay, Eun Sun is personally discontent with the work culture. On the basis of these factors, which of the following is most likely true of Eun Sun?-Eun Sun lacks intrinsic motivation.-Eun Sun lacks perceived organizational support.-Eun Sun lacks extrinsic motivation.-Eun Sun lacks both intrinsic and organizational support. According to the ESRT, the rate of temperature increases below the Earth's surface is greatest between depths of What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.-5.8 ft-6.3 ft-27.5 ft-69.1 ft Find all three distinct roots for X =1. (two of them are complex mumber). And show that sum of all roots is zero. To calculate the volume of a chemical produced in a day a chemical manufacturing company uses the following formula below:[tex]V(x)=[C_1(x)+C_2(x)](H(x))[/tex]where represents the number of units produced. This means two chemicals are added together to make a new chemical and the resulting chemical is multiplied by the expression for the holding container with respect to the number of units produced. The equations for the two chemicals added together with respect to the number of unit produced are given below:[tex]C_1(x)=\frac{x}{x+1} , C_2(x)=\frac{2}{x-3}[/tex]The equation for the holding container with respect to the number of unit produced is given below:[tex]H(x)=\frac{x^3-9x}{x}[/tex]a. What rational expression do you get when you combine the two chemicals?b. What is the simplified equation of ?c. What would the volume be if 50, 100, or 1000 units are produced in a day?d. The company needs a volume of 3000 How many units would need to be produced in a day? Answer these questions correctly5) There ____ to be ____ reasons for changing our plans.(a) appear; fewer(b) appears; no (c) appears; a few(d) appear; several6) The chart shows ____ of people who visited the gallery ____ day.(a) a number; every(b) number; each(c) the number; each(d) numbers; every7) The number of passengers carried each year ____ gradually.(a) have risen(b) has raised(c) have grown(d) has risen8) The car ____ stolen while ____ in an isolated place.(a) is; being parked(b) was; parking(c) has been; parked(d) was; parked9) I ____ until the game began.(a) neednt wait(b) shouldnt wait(c) oughtnt to wait(d) neednt have waited10) Everyone likes it here ____ used to it.(a) when he gets(b) when she gets(c) once you get(d) once they get Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!! HELP PLEASE !! find the surface area of the cylinder and round it to the nearest tenth. Write an argumentative essay about coronavirus and its impact in PNG and parts of the world. briefly explain the weakness of the RSA's industrial development zones