Two hundred kg of liquid contains 40% pentane, and rest hexane. Pentane MW is 72.15 g/ gmol and SG (20C/4C) is 0.17. Hexane MW is 86.17 g/ gmol and SG (20C/4C) is 0.659. Determine a) the total number of moles, b) the mole fraction composition of the liquid, c) the average molecular weight and d) the average density of the solution.

Springfield Corporation, whose tax rate is 40%, has two sources of funds: long-term debt with a market value of $10,000,000 and an interest rate of 8%, and equity capital with a market value of $10,000,000 and a cost of equity of 13.2%. Springfield uses its weighted average cost of capital to calculate the EVA for its Dallas division. For the latest year, the Dallas division had a NOPAT of $250,000, total assets of $1,000,000 and current liabilities of $200,000. The division’s EVA is:

Excel Hydro took a loan contract which requires a payment of $40 million plus interest two years after the contract's date of issue. The interest rate on the $40 million face value is 9.6% compounded quarterly. Before the maturity date, the original lender sold the contract to a pension fund for $43 million. The sale price was based on a discount rate of 8.5% compounded semi-annually from the date of sale.

Excel Hydro is also considering building a nuclear power plant, which will be ready for production in 2030. The country's governing body is also considering a decommissioning liability law for the operator to put aside $1 million every month towards decommissioning cost. If the production life of the plant is 60 years and the operator puts the money at the end of the month in a savings account, earning 7.25% compounded monthly.

During the 60 years of production life of the plant, the operator will put $1 million at the end of the month in a savings account, earning 7.25% compounded monthly. At the end of the production life of the plant, there are no more contributions and the money is expected to grow at the rate of 6% compounded quarterly for the next 30 years.

Explain what the Vice President can legitimately do now to help accomplish this goal. Provide specific examples in your answer.

1) A book manufacturing company has two different production plants, plant A and plant B. 40% of books come from plant A. Of the books that come from plant A 30% are defective and 70% work as intended. Of the books from plant B 10% are defective and 90% work as intended. On top of this 10% of the defective books from plant A explode.

A) Draw a tree diagram of this data.

B) What is the probability of randomly selecting

C) What is the probability of randomly selecting adefective book which doesn’t explode?

3.5.12 Suppose there are two urns. Urn I contains 100 chips: 30 are labelled 1, 40 are labelled 2, and 30 are labelled 3. Urn 2 contains 100 chips: 20 are labelled 1, 50 are labelled 2, and 30 are labelled 3. A coin is tossed and if a head is observed, then a chip is randomly drawn from urn 1, otherwise a chip is randomly drawn from urn 2. The value Y on the chip is recorded. If an occurrence of a head on the coin is denoted by X = 1, a tail by X = 0, and X ∼ Bernoulli(3/4), then determine E(X | Y), E(Y | X), E(Y), and E(X)

your firm is considering two financing plans. The key information follows: use a 40% tax rate

Draw the Earning Per Share and Earning Before Interest Tax line for each plan on the same set axes. Over what range of Earnings before income tax would you prefer Plan A?

Show in excel if possible

Step 4:

What percent of the variation in corn yield is explained by these two variables? Give your answers to 2 decimal places and do not include units in your answers.

Percent explained by the model = %

Step 5:

Using the regression equation, find a point estimate for the corn yield for 2014 Assume that the soy bean yield for that year is 42.

Point Estimate = (Give your answer to 1 decimal place.)

ID      Year    CornYield       SoyBeanYield
1       1957    48.3    23.2
2       1958    52.8    24.2
3       1959    53.1    23.5
4       1960    54.7    23.5
5       1961    62.4    25.1
6       1962    64.7    24.2
7       1963    67.9    24.4
8       1964    62.9    22.8
9       1965    74.1    24.5
10      1966    73.1    25.4
11      1967    80.1    24.5
12      1968    79.5    26.7
13      1969    85.9    27.4
14      1970    72.4    26.7
15      1971    88.1    27.5
16      1972    97      27.8
17      1973    91.3    27.8
18      1974    71.9    23.7
19      1975    86.4    28.9
20      1976    88      26.1
21      1977    90.8    30.6
22      1978    101     29.4
23      1979    109.5   32.1
24      1980    91      26.5
25      1981    108.9   30.1
26      1982    113.2   31.5
27      1983    81.1    26.2
28      1984    106.7   28.1
29      1985    118     34.1
30      1986    119.4   33.3
31      1987    119.8   33.9
32      1988    84.6    27.0
33      1989    116.3   32.3
34      1990    118.5   34.1
35      1991    108.6   34.2
36      1992    131.5   37.6
37      1993    100.7   32.6
38      1994    138.6   41.4
39      1995    113.5   35.3
40      1996    127.1   37.6
41      1997    126.7   38.9
42      1998    134.4   38.9
43      1999    133.8   36.6
44      2000    136.9   38.1
45      2001    138.2   39.6
46      2002    129.3   38.0
47      2003    142.2   33.9
48      2004    160.3   42.2
49      2005    147.9   43.1
50      2006    149.1   42.9
51      2007    150.7   41.7
52      2008    153.9   39.7
53      2009    164.7   44.0
54      2010    152.8   43.5
55      2011    147.2   41.9
56      2012    123.4   39.8
57      2013    158.8   43.3