What are the four basic roles government play in free enterprise?

What is the expected value when a $1 lottery ticket is bought in which the purchaser wins exactly $10 million if the ticket cont

Nadusha1986 [10]

We expect to lose $0.37 per lottery ticket

<u>Explanation:</u>

six winning numbers from = { 1, 2, 3, ....., 50}

So, the probability of winning:

$P(win) = \frac{ no of favorable outcomes}{no of possible outcomes}$

$P(win) = \frac{1}{^5^0C_6} \\\\P (win) = \frac{6! X (50 - 6)!}{50!} \\\\P(win) = \frac{6! X 44!}{50!} \\\\P(win) = \frac{1}{15,890,700}$

The probability of losing would be:

P(loss) = 1 - P(win)

$P(loss) = 1 - \frac{1}{15,890,700} \\\\P(loss) = \frac{15,890,699}{15,890,700}$

According to the question,

When we win, then we gain $10 million and lose the cost of the lottery ticket.

So,

$10,000,000 - 1 = $9,999,999

When we lose, then we lose the cost of the lottery ticket = $1

The expected value is the sum of the product of each possibility x with its probability P(x):

E(x) = ∑ xP(x)

$= 9,999,999 X \frac{1}{15,890,700} + ( -1 ) X \frac{15,890,699}{15,890,700} \\\\=- \frac{5,890,700}{15,890,700} \\\\= - \frac{58,907}{158,907} \\\\= - 0.37$

Thus, we expect to lose $0.37 per lottery ticket

7 0

3 years ago

Exodus Limousine Company has $1,000 par value bonds outstanding at 15 percent interest. The bonds will mature in 30 years. Compu

nasty-shy [4]

Answer:

if YTM at 4% price : $2,902.1237

if YTM at 8% price : $1,788.0448

The bonds are above face value asthey offer a higher coupon payment than the market yield therefore the bond holders are willing to pay above theri face value

Explanation:

the market price of the bond will be the present value of coupo payment and maturity:

$C \times \frac{1-(1+r)^{-time} }{rate} = PV\\$

C 150.000

time 30

rate 0.04

$150 \times \frac{1-(1+0.04)^{-30} }{0.04} = PV\\$

PV $2,593.8050

$\frac{Maturity}{(1 + rate)^{time} } = PV$

Maturity 1,000.00

time 30.00

rate 0.04

$\frac{1000}{(1 + 0.04)^{30} } = PV$

PV 308.32

PV c $2,593.8050

PV m $308.3187

Total $2,902.1237

No we repeat the process with the yield at 8%

$C \times \frac{1-(1+r)^{-time} }{rate} = PV\\$

C 150.000

time 30

rate 0.08

$150 \times \frac{1-(1+0.08)^{-30} }{0.08} = PV\\$

PV $1,688.6675

$\frac{Maturity}{(1 + rate)^{time} } = PV$

Maturity 1,000.00

time 30.00

rate 0.08

$\frac{1000}{(1 + 0.08)^{30} } = PV$

PV 99.38

PV c $1,688.6675

PV m $99.3773

Total $1,788.0448

7 0

3 years ago

Identify the following characteristics as primarily related to financial accounting (FA) or managerial accounting (MA):1. Help

DaniilM [7]

Answer:

Financial accounting is the aspect of accounting that is concerned with the summary, analysis and reporting of financial transactions related to a business.

While managerial accounting is the aspect of accounting that is concerned with the identification, measurement, analysis, and interpretation of accounting information to help managers plan for the future, make decisions for the company, and determine if their plans and decisions were accurate and efficient.

1. Helps Creditors make lending decisions is related Financial Accounting.

2. Helps in planning and controlling operations is related to Managerial Accounting.

3. Is not required to follow GAAP is related to Managerial Accounting.

4. Has a focus on the future is related to Managerial Accounting.

5. Summary reports prepared quarterly or annually is related to Financial Accounting.

6 0

3 years ago

Charlie Company uses a perpetual inventory system. During May, the following transactions and events occurred.

satela [25.4K]

The May transactions for Charlie Company (seller) assuming that Charlie uses a perpetual inventory system are:

Charlie Company Journal entries

May 13

Debit Account receivable $360

(8×$45)

Credit Sales $360

(To record credit sales)

May 13

Debit Cost of goods sold $208

(8×$26)

Credit Merchandise inventory $208

(To record cost of goods sold)

May 16

Debit Sales return and allowances $45

Credit Account receivable $45

(To record goods returned)

May 16

Debit Merchandise inventory $26

Credit Cost of goods sold $26

(To record cost of goods sold returned)

May 23

Debit Cash $302

($315-$13)

Debit Sales discount $13

(4%×$315)

Credit Account receivable $315

($360-$45)

Learn more here:

brainly.com/question/16912611

3 0

2 years ago

A product sells for $5, and has unit variable costs of $3. This product accounts for $20,000 in annual sales, out of the firm's

Ronch [10]

Answer:

0.1333

Explanation:

Given that,

Selling price = $5

Variable cost = $3

Annual sales = $20,000

Total sales = $60,000

Contribution margin:

= Selling price - Variable cost

= $5 - $3

= $2

Number of units sold:

= Annual sales ÷ Selling price

= $20,000 ÷ $5

= 4,000 units

Total contribution sales:

= Number of units sold × Contribution margin per unit

= 4,000 units × $2

= $8,000

Weighted contribution:

= Total contribution sales ÷ Total sales

= $8,000 ÷ $60,000

= 0.1333

6 0

3 years ago