Q1. A station supplies 250 kVA at a lagging power factor (p.f) of 0·8. A synchronous motor is connected
in parallel with the load. If the combined load is 250 kW with a lagging p.f. of 0.9, determine :
(i) the leading kVAR taken by the motor.
(ii) kVA rating of the motor.
(iii) p.f. at which the motor operates.

Q2. A factory consists of the following
(i) An induction motor of 150 h.p with 0.7 p.f lagging and 80% efficiency.
(ii) A synchronous motor of 100 h.p with 0.85 p.f leading at 90% efficiency.
(iii) A lightning load of 50kW.
Find the annual electric charges if the tariff is Rs 100 per annum per kVA maximum demand plus 7
paise per kWh ; assuming the load to be steady throughout the year.

In a semiconductor manufacturing process, 3 wafers from a lot are tested. Each wafer is classified as pass or fail (binomial). Assume that the probability that a wafer passes the test is 0.7 and that the wafers are independent.

a. Fill in the table. Round answers to three decimal places (i.e. 0.123)

b. What is the mean? Round answer to one decimal place (i.e. 1.2) Answer

c. What is the standard deviation? Round answer to three decimal places (i.e. 0.123)Answer

d. What is the probability of X > 1? Round answer to three decimal places

1.An individual has $15,000 invested in a stock with a beta of 0.5 and another $50,000 invested in a stock with a beta of 1.6. If these are the only two investments in her portfolio, what is her portfolio's beta? Do not round intermediate calculations. Round your answer to two decimal places.

According to a study conducted by ABODO, about 70% of all college students use an online dating app. Suppose you want to know if Harvard students are similar to their national peers. You ask a random sample of 125 Harvard students and find that 78 of them use an online dating app.

a. Does this sample provide significant evidence at the ? = .05 level that the true proportion of Harvard students that use an online dating app is different than the ABODO estimate? Conduct a hypothesis test to justify your answer.

b. Give an interpretation in context for the p-value that you calculated in part a.

c. Your colleague constructed a confidence interval based on your sample and found that it didn’t include 0.7. Give an example of a confidence level they might have used. Justify your answer.

Suppose you have $150,000 in a bank term account. You earn 5% interest per annum from this account. You anticipate that the inflation rate will be 3% during the year. However, the actual inflation rate for the year is 6%.

1. Calculate the impact of inflation on the bank term deposit you have.

ii. Examine the effects of inflation in your city of residence with attention to food and accommodation expenses.

iii. The Australian Bureau of Statistics (ABS) reported in May 2016 that the civilian population in Australia over 15 years of age was 19.8 million. Of this population of 19.8 million Australians, 12.5 million were employed and 0.7 million were unemployed. Calculate Australia’s labor force and the number of people in the civilian population who were not in the labor force?

State whether the following statements are true, false or uncertain and briefly explain the reason for your choice. Your grade will largely depend on the quality of your explanations.

1. If a 1 percent increase in price leads to a 0.7 percent increase in quantity supplied, the short‑run supply curve is inelastic.
2. If the market for bottled spring water is characterized by a very elastic supply curve and a very inelastic demand curve, an outward shift in the supply curve would be reflected primarily in the form of lower prices.
3. Firms in long‑run equilibrium in a perfectly competitive industry will produce at the low points of their average total cost curves because firms maximize profits and free entry implies that maximum profits will be zero.
4. In the very short run price and quantity supplied are absolutely fixed.

My Javascript code isn't working (when i press calculate button) - what's wrong with it ?

Car Rental

Enter Number of Rental Days:

Select Car Type:

onclick= "priceofcar = 50;"/> Compact


onclick= "priceofcar = 60;"/> Economy


onclick= "priceofcar = 70;"/> Intermediate

Select Loss Damage Waiver

onclick= "damagewaiver='yes'"/> Yes

onclick= "damagewaiver='no'"/> No


damagewaiver = boxDays.value * 25;}
else if (damagewaiver == No) {
damagewaiver = 0; }/>

Select Roadside Issues Coverage:

onclick= "issuescoverage='yes'"/> Yes

onclick= "issuescoverage='no'"/> No


issuescoverage = boxDays.value * 9;}
else if (issuescoverage == No) {
issuescoverage = 0; }/>

value = "Process"
onclick = "
myVariable = boxDays.value
boxrental = priceofcar * myVariable
boxoptional = damagewaiver + issuescoverage
boxsales = 0.7 * (boxoptional.value + boxrental.value)
boxtotal = boxsales.value + boxoptional.value + boxrental.value"/>
  

Car Rental Price:




Optional Items:




Sales Tax:




Total Bill:

Adjusted WACC. Thorpe and Company is currently an​ all-equity firm. It has three million shares selling for $22 per share. Its beta is 0.7​, and the current​ risk-free rate is 2.3​%. The expected return on the market for the coming year is 10.6​%. Thorpe will sell corporate bonds for $22,000,000 and retire common stock with the proceeds. The bonds are​ twenty-year semiannual bonds with a 9.3​% coupon rate and 1,000 par value. The bonds are currently selling for $923.83 per bond. When the bonds are​ sold, the beta of the company will increase to 0.9.

What was the WACC of Thorpe and Company before the bond​ sale? What is the adjusted WACC of Thorpe and Company after the bond sale if the corporate tax rate is 15 %​?

Hint​: The weight of equity before selling the bond is​ 100%.

The RW Company is proposing to replace its old welt-making machinery with more modern equipment. The new equipment costs $9 million (the existing equipment has zero salvage value). The attraction of the new machinery is that it is expected to cut manufacturing costs from their current level of $8 a welt to $4. However, as the following table shows, there is some uncertainty both about future sales and about the performance of the new machinery:

Calculate the annual cost savings of the expected scenario. Assume a discount rate of 12%. RW does not pay taxes.

According to the Department of Energy (DOE), 99 U.S. reactors have generated 805 billion kilowatt hours of electricity in 2016. That is 20% of the U.S. energy generated that year and enough to power 73 million homes. How many tonnes (metric tons) of natural uranium have the U.S. needed that year? In your calculations, ignore the energy gained from the fissioning of Pu239 produced from the fertile U238 (i.e., assume all the energy generated from the fissile U235). Also ignore the efficiency of heat to electricity conversion (about 30%). Recall that the percentage of U235 in natural uranium is 0.7%. (Hint: first determine how many atoms of U235 must have undergone fission to produce the above mentioned energy given that each fission generates 200 MeV, then convert that into mass)