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statuscvo [17]
3 years ago
9

Suppose a state lottery prize of $8 million is to be paid in 5 payments of $1,600,000 each at the end of each of the next 5 year

s. If money is worth 12%, compounded annually, what is the present value of the prize? (Round your answer to the nearest cent.)
Business
1 answer:
slavikrds [6]3 years ago
7 0

Answer:

The answer is $5767641.92

Explanation:

PV of an Annuity = C x [ (1 – (1+i)-n) / i ]

PV of an Annuity = $1,600,000  x [ (1 – (1+0.12)-5) /0.12 ] = $5767641.92

The present value of the prize is $5767641.92

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Menlo Company distributes a single product. The company's sales and expenses for last month follow:
Mariulka [41]

The monthly break-even point in units sold and sales in dollars are 12,200 units and $488,000 respectively.

The Break−even point in units sales can be calculated using the below-mentioned formula,

Break−Even Point In Units Sales = Fixed Expenses / Contribution Margin Per Unit

Now, by using the specified values in the aforementioned calculation, we obtain,

Break−Even Point In Units Sales = $146,400/$12

= 12,200 units

To calculate the Break−even point in dollars we first have to calculate the contribution margin ratio.

The Contribution margin ratio can be calculated using the below-mentioned formula

Contribution Margin Ratio = \frac{Contribution Margin Per Unit}{Selling Price Per Unit} * 100

Now, by using the specified values in the aforementioned calculation, we obtain,

Contribution Margin Ratio = \frac{12}{40} * 100                                    

= 30%

Break−Even Point In Dollars = Fixed Expenses/Contribution Margin Ratio

Now, by using the specified values in the aforementioned calculation, we obtain,

Break−even point in dollars = $146,400/30 Percent                                          = $146,400/0.30                                          

= $488,000

Hence, The monthly break-even point in units sold and in sales dollars is 12,200 units and $488,000 respectively.

Learn more about break-even point:

brainly.com/question/15281855

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5 0
2 years ago
A higher GDP per capita is synonymous with which of the following?
Eva8 [605]
By definition, GDP per capita is an economic term wherein it is the result when the total GDP (Gross Domestic Product) of a country is divided by the total number of population in that country. Therefore, a higher GDP per capital would most likely indicate that there is also a higher standard of living.
6 0
3 years ago
When you save your money to buy something I'm six months,which Job is money doing?
tatiyna
Try something within the medical departments, or jobs that you know are not likely to go down and are for everyday use. Like, psychology will be my personal interest and its pay could vary. 
8 0
3 years ago
North Around, Inc. stock is expected to return 22 percent in a boom, 13 percent in a normal economy, and −15 percent in a recess
almond37 [142]

Answer:

4.53%

Explanation:

Data provided in the question:

Expected return = ∑ (Return × probability)

Thus,

Expected return = (0.06 × 22) + (0.92 × 13) + (0.02 × (-15))

= 12.98%

Now,

Probability       Return        Probability × (Return-Expected Return)²

0.06                  22                   0.06 × (22% - 12.98%)² = 4.8816

0.92                  13                    0.92 × (13% - 12.98%)² = 0.000368

0.02                  -15                   0.02 × (-15% - 12.98%)² = 5.657608

========================================================

                                                                            Total = 20.5396%

Standard deviation = \sqrt{\frac{\text{Total probability}\times(\text{Return-Expected Return})^2}{\text{Total probability}}

= √(20.5396)

= 4.53%

6 0
3 years ago
Free cash flow (FCF) and net income (NI) differ in the following ways:
alexandr402 [8]

Answer:

c.  I, II, and III only

Explanation:

As we know that

Free cash flow = Earnings before Interest and Taxes ×  (1-Tax Rate) + Amortization and Depreciation expense - Change in Net Working Capital -Capital Expenditure

And, the Net income is determined after considering all cash and non cash expenses.

Therefore, I, II and III statements are considered

Hence, the option c is correct

6 0
3 years ago
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