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4 years ago

The quadratic function f(x)=2x^2-24x+c has two zeros that differ by 18. Find the value of c.

1 answer:

7 0

For this case we have the following function:
f (x) = 2x ^ 2-24x + c
We set zero to find the roots of the function.
  We have then:
  2x ^ 2-24x + c = 0
  x ^ 2-12x + c / 2 = 0
  Factoring we have:
  (x - / + x1) (x - / + x2) = 0
  On the other hand we have:
  x2-x1 = 18
  x2 + x1 = -12
  Solving the system we have:
  x1 = -15
  x2 = 3
  Substituting we have:
  (x-15) (x + 3) = 0
  Rewriting:
  x ^ 2 -12x - 45 = 0
Therefore, the value of c is given by:
  c / 2 = -45
  c = -90
  Answer:
  the value of c is:
c = -90

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A. The owner invested $16,200 cash in the company in exchange for its common stock.

Anon25 [30]

Answer:

a. Assets increase by $16,200; and Shareholders' equity increases by $16,200.

b. Assets increase by $800; and Assets decrease by $800.

c. Assets increase by $10,600; and Shareholders' equity increases by $10,600.

d. Assets increase by $260; and Liabilities increases by $260.

e. Assets increase by $9,600; and Assets decrease by $9,600.

Explanation:

The accounting equation that is impacted is given as follows:

Assets = Shareholders' equity + Liabilities

The impact of each transaction on individual items of the accounting equation are as follows:

a. The owner invested $16,200 cash in the company in exchange for its common stock.

Cash is an asset item, current asset to be specific; while common stock is one of the components of Shareholders' equity. The investment of $16,200 by the owner will therefore increase assets and Shareholders' equity.

Therefore, Assets increase by $16,200; and Shareholders' equity increases by $16,200.

b. The company purchased supplies for $800 cash.

Cash and supplies are both assets item, current assets to be specific. The purchase of supplies will increase the inventory of supplies which is an asset item by $800, while it will reduce cash which is another asset item also by $800.

Therefore, Assets increase by $800; and Assets decrease by $800.

c. The owner invested $10,600 of equipment in the company in exchange for more common stock.

Equipment is an assets item, fixed assets to be specific; while common stock is one of the components of Shareholders' equity. The investment of $10,600 worth of equipment by the owner will therefore increase assets and Shareholders' equity each by $10,600.

Therefore, Assets increase by $10,600; and Shareholders' equity increases by $10,600.

d. The company purchased $260 of additional supplies on credit.

Supplies is an assets item, current assets to be specific; while purchase on credit is a liability item, current liability which is an account payable to creditor of supplies. The purchase of supplies will increase supplies which is an assets item by $260, and it will also increasethe account payables to creditor of supplies.

Therefore, Assets increase by $260; and Liabilities increases by $260.

e. The company purchased land for $9,600 cash.

Cash and land are both assets item, current assets to be specific. The purchase of land will increase the inventory of land which is a fixed asset item by $9,600, while it will reduce cash which is another asset (current asset) item also by $9,600.

Therefore, Assets increase by $9,600; and Assets decrease by $9,600.

7 0

4 years ago

Rediger Inc., a manufacturing Corporation, has provided the following data for the month of June. The balance in the Work in Pro

blsea [12.9K]

Answer:

$160,600

Explanation:

The computation of the cost of goods manufactured is shown below:

= Direct material cost + direct labor cost + manufacturing cost applied + beginning work in process - ending work in process

= $58,600 + $33,400 + $54,600 + $40,000 - $26,000

= $160,600

Hence, the cost of goods manufactured for June is $160,600

8 0

3 years ago

As people use more and more of a product, they encounter increasing marginal utility.

Orlov [11]

Answer:

True

Explanation:

Utility is the satisfaction derived from consuming a product or service i.e the pleasure or happiness a consumer gets in using a product.

Marginal Utility on the other hand is the additional, extra satisfaction or benefits that an individual or consumers derives from buying an additional unit of a commodity or service. This simply states that when someone buys a particular product and consumes more of that product such person has undergo increasing marginal utility.

E.g Mr. A bought pasta yesterday and buy same today and day after , he's only buying cause of the satisfaction he derives in consuming pasta. And by so doing, he has encounter and increasing marginal utility.

7 0

3 years ago

Molo Oil Company produces gasoline, home heating oil, and jet fuel from crude oil in a joint processing operation. Joint process

Anna [14]

Answer:

Molo Oil Company

The financial advantage of further processing of each of the three products beyond the split-off point is:

= $182,430

(which is the additional profit gained from the further processing).

Explanation:

Joint processing costs = $385,000 per month

Product Selling Price Monthly Output Sales Value

Gasoline $ 27.00 per gallon 14,400 gallons $388,800 ($27*14,100)

Heating Oil $ 21.00 per gallon 22,400 gallons 470,400 ($21*22,400)

Jet Fuel $ 33.00 per gallon 5,600 gallons 184,800 ($33*5,600)

Total sales value = $1,044,000

Joint costs = 385,000

Profit = $659,000

Allocation of joint processing costs of $385,000

Gasoline = $143,379 ($388,800/$1,044,000 * $385,000)

Heating Oil 173,471 ($470,400/$1,044,000 * $385,000)

Jet Fuel 68,150 ($184,800/$1,044,000 * $385,000)

Total cost $385,000

Total costs:

Additional

Joint Cost Monthly Cost Total Costs

Gasoline $143,379 $29,740 $173,119

Heating Oil 173,471 43,057 216,528

Jet Fuel 68,150 20,053 88,203

Total costs $385,000 $92,850 $477,850

Product Additional Processing Selling Price

Costs (per quarter)

Gasoline $ 89,220 $ 32.80 per gallon

Heating Oil $ 129,170 $ 27.80 per gallon

Jet Fuel $ 60,160 $ 41.80 per gallon

Product Additional Processing Selling Price

Costs (per month)

Gasoline $ 29,740 $ 32.80 per gallon

Heating Oil $ 43,057 $ 27.80 per gallon

Jet Fuel $ 20,053 $ 41.80 per gallon

Determination of profit after further processing:

Product Selling Price Monthly Output Sales Value

Gasoline $ 32.80 per gallon 14,400 gallons $462,480 ($32.80*14,100)

Heating Oil $ 27.80 per gallon 22,400 gallons 622,720 $27.80*22,400)

Jet Fuel $ 41.80 per gallon 5,600 gallons 234,080 ($41.80*5,600)

Total sales revenue = $1,319,280

Total costs = 477,850

Profit = $841,430

Financial advantage

Profit after further processing = $841,430

Profit with Joint processing = 659,000

Financial advantage = $182,430

4 0

3 years ago

The basic purpose of measuring cash flow is to estimate how much:

NARA [144]

The basic purpose of measuring cash flow is to estimate how much a. net cash a company has during a given period. ... The executive team at Midas Muffler and Brake decides to publish a statement of its available cash that subtracts from thecash, the planned investments in new shops and new technology.

7 0

4 years ago