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Alekssandra [29.7K]
3 years ago
5

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

Business
1 answer:
murzikaleks [220]3 years ago
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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Answer:

a) 3,800,000

b) 3,300,000

Explanation:

The GDP only counts final products.

As XYZ purchase ABC production thus, ABC's production should not be included in the GDP

<em>Final goods Production:</em>

XYZ 1,000,000 x 3 sold computer =   3,000,000

         1 compuer of 800,000 in stock <u> 8,000,000</u>

           Total GDP                                   3,800,000

<em>Income:</em>

Labor:   1,000,000 + 200,000 x 4 =   1,800,000

Interest   100,000                                   100,000

Taxes      200,000 + 100,000 x 4  =      600,000

Profit       700,000  + 200,000 x 3 =  <u> 1,300,000  </u>

Total                                                    3,800,000

If there is imported goods for 500,000

Then, we should reduced from the GDP:

making it 3,800,000 - 500,000 = 3,300,000

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3 years ago
Which of the following was the cause of the passage of the Blaine Amendments?
umka21 [38]
The one that was the cause of the passage of the Blaine amendments was : Congress was not thoroughly prohibiting states from funding religious schools.
As the part of separation of state and church, the amendment was created to forbid direct government aid to educational institution with religious affiliation, the program was considered a failure

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7 0
3 years ago
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When Congress passed a tariff in 1828, South Carolina tried to nullify it toa. To increase the price of exported and imported go
nalin [4]

To assert the power of the state governments over the national government and to indicate that a state should have the ultimate authority over its citizens

Answer: Option B.

<u>Explanation:</u>

In November 1832, the Nullification Convention met. The show announced the taxes of 1828 and 1832 unlawful and unenforceable inside the province of South Carolina after February 1, 1833. It was declared that endeavors to utilize power to gather the duties would prompt the state's withdrawal.

Calhoun, who restricted the government inconvenience of the duties of 1828 and 1832 and contended that the U.S. Constitution gave states the option to obstruct the authorization of a government law. In November 1832 South Carolina received the Ordinance of Nullification, pronouncing the duties invalid, void, and nonbinding in the state.

5 0
3 years ago
Designing a new backpack at an outdoor sports equipment company is an example of a: Select one: a. Product-level activity. b. Fa
marissa [1.9K]

Answer:

The answer is option A. Designing a new backpack at an outdoor sports equipment company is an example of Product-level activity.

Explanation:

A product-level activity is carried out in support of a specific product or activity.

These actions are taken irrespective of the amount of production or service volume associated with a product.

Product level activities relate to specific products and must be carried out regardless of how many batches or units of product are produced or sold.

For example, designing a new backpack at an outdoor sports equipment company is product specific and could involve the production of units or batches to be sold.

6 0
3 years ago
Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five
andrey2020 [161]

Answer:

1. Calculate the payback period for each product.

  • A = 2.71 years, A is preferred
  • B = 2.8 years

2. Calculate the net present value for each product.

  • A = $60,349
  • B = $83,001, B is preferred

3. Calculate the internal rate of return for each product.

  • A = 25%, A is preferred
  • B = 23%

4. Calculate the project profitability index for each product.

  • A = 121%, A is preferred
  • B = 117%

5. Calculate the simple rate of return for each product.

  • A = 184%, A is ´preferred
  • B = 179%

6B. Based on the simple rate of return, Lou Barlow would likely:

  • 1. Accept Product A, since its IRR is 25% which exceeds the company's  minimum ROI (23%)

Explanation:

                                       Product A               Product B

Initial investment:

Cost of equipment          $290,000              $490,000

Annual revenues and costs:

Sales revenues              $340,000               $440,000

Variable expenses         $154,000               $206,000

Depreciation expense    $58,000                 $98,000

Fixed out-of-pocket

operating costs               $79,000                 $59,000

net cash flow                  $107,000                $175,000

The company's discount rate is 16%.

payback period

A = $290,000 / $107,000 = 2.71 years, A is preferred

B = $490,000 / $175,000 = 2.8 years

using an excel spreadsheet I calculated the NPV and IRR

NPV

A = $60,349

B = $83,001, B is preferred

IRR

A = 25%, A is preferred

B = 23%

Project profitability

A = $350,349 / $290,000 = 1.21

B = $573,001 / $490,000 = 1.17

Simple rate of return

A = $535,000 / $290,000 = 184%, A is ´preferred

B = $875,000 / $490,000 = 179%

5 0
4 years ago
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