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Volgvan
3 years ago
5

You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets available to be sold in this lottery

. In this lottery there are one $460 prize, two $80 prizes, and four $20 prizes. Find your expected gain or loss.
Business
1 answer:
arsen [322]3 years ago
3 0

Answer:

Expected Loss will be $3

Explanation:

Expected Loss can be calculated by  multiplying the probabilities to Net expected outcome.

Probabilities

Prize ( $460) = 1 / 100

Prize ( $80 ) = 2 / 100

Prize ( $20 ) = 4 / 100

No prize = 100/100 - (1+2+4)/100 = 93/100

Expected value = [( 460 - 10 ) x 1/100 ] + [( 80 - 10 ) x 2/100 ] + [( 20 - 10 ) x 4/100 ] + [( 0 - 10 ) x 93/100] = 4.5 + 1.4 + 0.4 - 9.3 = -$3

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One of two alternatives will be selected to reduce flood damage in a rural community in central Arizona. The estimates associate
pochemuha

Answer:

Since the incremental B/C of 58.21 is less greater 1, it implies that the alternative that should be selected is Channel.

Explanation:

The alternative that should be selected can be determined using the Benefit-Cost (B/C) analysis as follows:

Incremental B/C = [Incremental Flood damage savings * ((1 + r)^-3 + (1 + r)^-9 + ((1 + r)^-18)] / [Incremental initial cost + (Incremental Annual Maintenance cost * ((1 - (1 / (1 + r))^n) / r))] ............... (1)

Where:

Incremental initial cost = Channel initial cost - Retention pond initial cost = $1,500,000 - $880,000 = $620,000

Incremental Annual Maintenance cost = Channel Annual Maintenance - Retention pond Annual Maintenance = $30,000 - $92,000 = -$62,000

Incremental flood damage savings = Channel Incremental flood damage savings - Retention pond incremental flood damage savings = $625,000 - $200,000 = $425,000

r = Discount rate = 8%, or 0.08

n = number of years = 20

Substituting all the relevant values into equation (1), we have:

Incremental B/C = [425000 * ((1+0.08)^-3 + (1+0.08)^-9 + (1+0.08)^-18)] / [$620,000 - ($62,000 * ((1 - (1 / (1 + 0.08))^20) / 0.08))]

Incremental B/C = $656,340.35 / $11,274.86

Incremental B/C = 58.2127235166936

Rounding to 2 decimal places, we have:

Incremental B/C = 58.21

Since the incremental B/C of 58.21 is less greater 1, it implies that the alternative that should be selected is Channel.

8 0
3 years ago
Place the steps to creating a budget in order:
bagirrra123 [75]

Answer:

1. Figure out your net income

2. Determine if you have enough income to cover all your expenses

3. make list of variable expense

4. make list of fixed expenses

5. adjust expense

done !

4 0
3 years ago
How long would it take for the price level to double if inflation persisted at the following percentages?
Alekssandra [29.7K]

Answer:

inflation rate = 17.5 percent per year  ⇒ it will take 4 years to double

inflation rate =  35 percent per year  ⇒ it will take 2 years to double

inflation rate =  3.5 percent per year ⇒ it will take 20 years to double

Explanation:

we can use the rule of 70 to determine the amount of time it would take the general price level to double.

the rule of 70 is a simple way we can use to estimate the number of years it will take an investment to double given a certain growth rate.

70 / 17.5 =  4 years

70 / 35 =  2 years

70 /  3.5 = 20 years  

3 0
3 years ago
Miller Company’s contribution format income statement for the most recent month is shown below: Total Per Unit Sales (37,000 uni
inn [45]

Answer:

Instructions are listed below

Explanation:

Giving the following information:

Total Per Unit Sales (37,000 units at $6) $ 222,000  

Variable expenses 111,000 ($3.00)

Contribution margin 111,000 ($ 3.00)

Fixed expenses 41,000

Net operating income $ 70,000

1) sales increase by 12%

Income= contribution margin* 1.12 - fixed expenses= 111,000*1.12 - 41,000= 83,320

2) selling price decreases by $1.30 per unit and the number of units sold increased by 19%.

Income= (37000*1.19)*(4.7-3) - 41,000= 33,851

3)  the selling price increases by $1.30 per unit, fixed expenses increase by $6,000, and the number of units sold decreased by 7%

Income= (37000*0.93)*(7.30-3) - 47000= $100,963

4) the selling price per unit increases by 20%, variable expenses increase by 20 cents per unit, and the number of units sold decreased by 13%

Income= (37000*0.87)*(7.2-3.2) - 41000= $87,760

8 0
3 years ago
The first step in marginal analysis is to determine
salantis [7]
 <span>Marginal analysis is the process of identifying the benefits and costs of different alternatives by examining the incremental effect on total revenue and total cost caused by a very small (just one unit) change in the output or input of each alternative.</span>
5 0
3 years ago
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