In a surface condenser a section of the tubes near to the air pump suction is
screened off so that the air is cooled to a temperature below that of the condensate, separate extraction
pumps being provided to deal with air and condensate respectively. 5448 kg of steam are condensed
per hour and the air leakage is 4.54 kg/h. The temperature of the exhaust steam is 31°C, the temperature
of the condensate is 27°C, and the temperature at the air pump suction is 21.1°C. Assuming a constant
vacuum throughout the condenser, find
() The mass of steam condensed per hour in the air cooler;
(i) The volume of air in m3/h to be dealt with by the air pump;
(ii) The percentage reduction in necessary air pump capacity following the cooling of the air..

A firm that is looking to raise capital in the near future. To prepare for potential investors, you determined that you need the WACC of your firm. Your firm is currently structured in such a way that the debt-to-equity ratio is 0.4.

1. Since the company size is comparable with publicly traded micro-cap companies, you started analyzing the Wilshire Micro-Cap ETF, which represents a basket of micro-cap US companies. The current price of this EFT is $29.97. At inception 6.25 years ago it traded at $15.45. In a comparable period, the 3-month T-Bills, which you consider risk free, returned 0.35% annually.

   a.) What was the annualized return for the reference micro-cap ETF?
   b.) During the period considered, what was the risk premium of micro-cap stocks?
   c.) Historically your company has produced equity returns that indicate a beta to the general micro-cap market of around 1.25. Assuming this number will remain stable, what should your cost of equity be?

2. Your only debt outstanding in the market is a single bond with the following parameters:

    10 yrs until maturity
    semiannual coupons with an (annual) coupon rate of 7%
    current market price of 95 (as a percentage of the notional amount)

What is your cost of debt?

3. Given the results from 1 and 2, what is your firm's WACC?

Please provide steps and formulas.

At the equator, near the surface of the Earth, the magnetic field is approximately 50 ?? northward, and the electric field is about 100 N/C downward in fair weather. Find the magnitude and direction of gravitational, electric, and magnetic forces on an proton in this environment, assuming the proton has an instantaneous velocity of 5?106m/s directed to the west.

Derive the equations for a particle moving near the surface of the earth, given by

?̈= 2? cos ? ?̇

?̈= −2( cos ? ?̇ + ? sin ? ?̇)

?̈= −? + 2? sin ? ?̇

? = v/r; v=velocity; r-radius

where the earth’s rotational speed in the ?̂ direction is ?.

MARKETING!

Google is developing a self-driving car that will be in the marketplace in the near future. Identify a potential market segment and describe the value proposition that would meet the needs of this target customer group. What need is being fulfilled? What benefits are being sought?

A small village is located near a stream which is to be used as the source of water supply for

the community. The minimum flow in the stream is 550 m3/h. The population analysis

reveals that the population is expected to increase linearly from a population of 10,000 in

2008 to 30,000 in 2058.

The water consumption of the community is estimated to reach an annual average demand

of 300 L/capita/day, a maximum daily demand of 1.8 times the annual average and peak

hourly demand of 1.5 times the daily average.

Would you be able to supply these demands directly from the stream? If not, what would

you recommend?

a) In the year 2030

b) In the year 2058

There is a well near your house with a 20kg cylindrical spool (with a radius of 0.5m), wrapped with rope, upon which you attach a 5kg bucket. you let the bucket fall into the well from rest. 10s later, you can hear the bucket hit the water at the botttom. A) Determine the tension in the string B) what is the linear acceleration of the bucket? C) What is the angular acceleration of the spool? D)How much torque was required to make the spook spin at this acceleration? E)How far does the bucket ravel when it reaches the water? F)Through how many radians does the spool spin in this time? G)What is the final angular velocity of the spool? H) What is the final linear velocity of the spool?

What was the impact of the near failure of Bear Stearns and the failure of Lehman Brothers on Money Markets?

What actions did the Federal Reserve and the Treasury Department take? What were the impacts of the decisions if any?

4. In the near future, it will soon be possible for people to increase their muscle mass by introducing extra copies of the gene for insulin-like growth factor into their muscle cells.

a. What therapeutic applications can you see for such procedures? [2 marks]

b. It is possible that some people might use this procedure for cosmetic purposes—to gain muscle mass without exercise. Do you think that this would be acceptable, bearing in mind that humans already use cosmetics to change their appearance? [2 marks]