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3 years ago

What are the solutions for cos2 x - cos2x = 0

Business

1 answer:

NeX [460]3 years ago

6 0

Answer:

$x=0,\pi,2\pi$

Explanation:

$cos^{2}(x)-cos(2x)=0$

Firstly, we will simplify the double angle formulae

$cos(2x)=cos(x+x)\\cos(x+x)=cos(x)cos(x)-sin(x)sin(x)\\cos(x+x)=cos^{2}(x)-sin^{2}(x)$

Now, we can substitute our value for cos(2x) into our original equation.

$cos^{2}(x)-(cos^{2}(x)-sin^{2}(x))=0\\cos^2(x)-cos^2(x)+sin^2(x)=0\\sin^2(x)=0\\sin(x)=0\\x=arcsin(0)\\x=0,\pi,2\pi$

(Solutions in the range $0 \leq x \leq 2\pi$ )

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Closing Entries After the accounts have been adjusted at March 31, the end of the fiscal year, the following balances were taken

nevsk [136]

Answer:

Explanation:

The closing entries for the following accounts are shown below:

1. Fees Earned A/c Dr $548,480

To Income Summary $548,480

(Being revenue account closed)

2. Income summary A/c Dr $489,715

To Supplies Expense $32,410

To Wages Expense $360,100

To Miscellaneous Expense $10,805

To Rent Expense $86,400

(Being expenses accounts are closed)

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3 years ago

The A. J. Croft Company (AJC) currently has $200,000 market value (and book value) of perpetual debt outstanding carrying a coup

o-na [289]

Answer:

current market value = $800000, WACC = 7.5%
new WACC = 7.38%, Total value of firm = $ 813,008.13
stock price per share = $62.00
4750 shares

Explanation:

1) Calculate AJC's current total market value and weighted average cost of capital

current market value = value of equity + value of debt

= ( 10000 * $60 ) + $200000

= $800000

Weighted average cost of capital = ( weight of equity * cost of equity ) + ( weight of debt * cost of debt * ( 1 - tax rate )

= (75% * 8.8% ) + (25% * 6% * 0.6 ) = 7.5%

2) what would be AJC's new WACC and total value

WACC = ( weight of equity * cost of equity ) + ( weight of debt * cost of debt * ( 1 - tax rate )

= ( 60% * 9.5% ) + ( 40% * 7% * 0.6 ) = 7.38%

Total value of the firm =

= ( Cash flow after tax / WACC )

= (( 100000 * ( 1-40%)) / 7.38%

= 100000 * 0.6 / 7.38% = $ 813,008.13

3) Calculate the new stock price per share

new stock price = ( value of equity + change in debt ) / original number of outstanding shares

value of equity = weight of equity * firm value

change in debt =( weight of debt * firm value ) - initial debt value

Hence new stock price =

( 50% *$820000) + (( 50% * $820000)- $200000)) / 10000

= $62.00

4) calculate how many shares AJC would repurchase in the recapitalization

= original shares - Remaining shares

= 10000 - 5250 = 4750 shares

while ;

Remaining shares = value of equity / stock price = $336000 / $64 = 5250

original shares = 10000

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3 years ago

Economic studies have generally found that professional sports players have salaries that

Rudiy27

Answer:

should be equal to their marginal revenue product.

Explanation:

This applies to basically all employees that work in competitive markets, their salaries should equal their marginal revenue product.

An employee's salary = the market value of hiring the employee = marginal revenue product

The formula for calculating marginal revenue product = marginal physical product x marginal revenue

where:

marginal physical product = extra units produced by the employee
marginal revenue = price of the units produced

For example, a new employee can produce 100 units per day and each unit is sold at $0.75, therefore the employee's marginal revenue product = 100 units x $0.75 per unit = $75 per day

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4 years ago

Which of the marketing mix elements corresponds to what the buyer gives up in the marketing exchange?

Lubov Fominskaja [6]

Answer:

The correct answer is (B) Price.

Explanation:

The price is a marketing variable that comes to synthesize, in a large number of cases, the commercial policy of the company. On the one hand, we have the needs of the market, set in a product, with certain attributes; on the other, we have the production process, with the consequent costs and profitability objectives set. That is why the company must be in charge, in principle, of setting the price it deems most appropriate.

For the potential customer, the value of the product is expressed in objective and subjective terms, since it has a very particular scale when computing the different attributes of which it is composed, hence the denomination of expensive or cheap it gives them. However, for the company the price is a very important element in its marketing mix strategy, along with the product, distribution and promotion.

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3 years ago

The following selected transactions were completed by Coat Delivery Service durning July: 1. Received cash in exchange for commo

cupoosta [38]

Answer:

1. Received cash in exchange for common stock, $35,00.

Transaction Effect: Receipt of cash will increase in asset, delivery service will increase in stockholder equity

Correct Option: c

2. Purchased supplies for cash, $1,100.

Transaction Effect: Supplies will increase in asset, cash will decrease in the asset

Correct Option: a

3. Paid rent for October, $4,500.

Transaction Effect: Paid cash will decrease in asset and rent expenses will decrease stockholder equity

Correct Option: e

4. Paid advertising expense. $900.

Transaction Effect: Rent paid will Decrease in an asset, decrease in stockholders' equity

Correct Option: e

5. Received cash for providing delivery services, $33,000.

Transaction Effect: Receipt of cash will increase in asset, delivery service will increase in stockholder equity

Correct Option: c

6. Billed customers for delivery services on account, $58,000.

Transaction Effect: Billing customers will Increase in an asset, increase in stockholders' equity

Correct Option: c

7. Paid creditors on account, $2,900.

Transaction Effect: Creditors payment will Decrease in an asset, decrease in a liability

Correct Option: d

8. Received cash for customers on account, $27,500.

Transaction Effect: Received payment from customers will Increase in an asset, decrease in another asset

Correct Option: a

9. Determined that the cost of supplies on hand was $300 and $8,600 of supplies had been used during the month.

Transaction Effect: Supplies expense will Decrease in an asset, decrease in stockholders' equity

Correct Option: a

10. Paid cash dividends, $2500.

Transaction Effect: Cash payment will decrease in asset, dividend will decrease in stockholders equity

Correct Option: e

7 0

4 years ago

What are the solutions for cos2 x - cos2x = 0​

What are the solutions for cos2 x - cos2x = 0