Your automatic payment option pays bills of $23.17, $55.67, $2,345.15, $575.25 and $1.15. How much was the mean payment?

Two gamblers bet $1 each on the successive tosses of acoin. Each has a bank of $6. What is the probability that:a They break eve

strojnjashka [21]

Answer:

Part a: The probability of breaking even in 6 tosses is 0.3125.

Part b: The probability that one payer wins all the money after the 10th toss is 0.0264.

Explanation:

Part a

P(success)=1/2=0.5

P(Failure)=1/2=0.5

Now for the break-even at the sixth toss

P(Break Even)=P(3 success out of 6)

P(3 success out of 6)

$=^6C_3/(2^6)\\=5/16\\=0.3125$

So the probability of breaking even in 6 tosses is 0.3125.

Part b:

So the probability that one of the player wins all the money after the 10th toss is given as the tenth toss is given as a win so

Wins in 9 tosses is given as 9!/7!=72

The probability that the other person wins

Wins in 8 out of 10 tosses is given as 10!/8!(10-8)!=10!/8!2!=45

So the probability of all the money is won by one of the gambler after the 10th toss is given as

P=number of wins in 9 tosses-Number of wins in 10 tosses/total number of tosses

P=(72-45)/2^16

P=0.0264

So the probability that one payer wins all the money after the 10th toss is 0.0264.

8 0

3 years ago

A firm has 12,000 shares of common stock outstanding with a book value of $20 per share and a market value of $39. There are 5,0

lana [24]

Answer:

13.7%

Explanation:

The weight to be placed on preferred while computing the company's weighted average cost of capital (WACC) is the market value of the preferred stock divided by the market value of the company as a whole.

market of preferred stock=5,000*$26=$130,000

Market value of the company=market value of common stock+market value of preferred stock+market value of bond

common stock market value=12,000*$39=$468,000

market value of bond=$400,000*87%=$348,000

Weight of preferred stock=$130,000 /($130,000 +$468,000+$348,000)=0.137420719 =13.7%

6 0

2 years ago

"Ayres Services acquired an asset for $80 million in 2021. The asset is depreciated for financial reporting purposes over four y

Zepler [3.9K]

a. The cumulative temporary book-tax difference for the depreciable asset are as follows:

December 31, 2021 = $60 million

December 31, 2022 = $40 million

December 31, 2023 = $20 million

December 31, 2024 = $0

b. The balance to be reported in the deferred tax liability account are as follows.

December 31, 2021 = $15 million

December 31, 2022 = $10 million

December 31, 2023 = $5 million

December 31, 2024 = $0

Explanation:

Note: See the attached excel file for the calculation of cumulative temporary book-tax difference for the depreciable asset and the balance to be reported in the deferred tax liability account for December 31 of years 2021, 2022, 2023 and 2024 in bold red color.

In the attached excel file, the following formula are used:

Cumulative Temporary differences at December 31 of the current year = Cumulative Temporary differences at December 31 of the previous year + (Depreciation on the tax return at December 31 of the current year - Depreciation on the income statement at December 31 of the current year)

Balance to be reported in deferred tax liability account at December 31 of the current year = Cumulative Temporary differences at December 31 of the current year * Tax rate

8 0

3 years ago

The three phases involved in the management of large projects are

Simora [160]

Operations management are multiple activities that create value for consumers by way of a good or service. The create the good or service and put them out in the market.
When planning a managing a large product you need to make sure that the phases are follow throughly and accurately.
Phase 1) Planning
Phase 2) Scheduling
Phase 3) Controlling

8 0

2 years ago

You invest $1,000 in a complete portfolio. the complete portfolio is composed of a risky asset with an expected rate of return o

stepladder [879]

<span>An investor invests 70% of her wealth in a risky asset with an expected rate of return of 15% and a variance of 5%, and she puts 30% in a Treasury bill that pays 5%. Her portfolio's .... To form a complete portfolio with an expected rate of return of 11%, you should invest ______ of your complete portfolio in Treasury bills.</span>

7 0

2 years ago