You are testing a new t-shirt cannon. You decide to fire the t-shirts vertically straight up in the air so that you do not have to walk to pick up the launched t-shirts. First, a green t-shirt is launched vertically upwards with a speed of 12 m/s. Exactly 1.0 s later, a blue t-shirt is launched vertically upwards with a speed of 18 m/s. At what time (after the launch of the first green t-shirt) will the two shirts collide, and at what height above the cannon? You may ignore air resistance throughout the problem.

You are the CFO and are considering introducing a new product that will require an initial investment in equipment of $6 million. The equipment will be depreciated straight line over 3 years to a value of zero, and can be sold after 3 years for $500,000. Working capital at each date must be maintained at a level of 10% of the following year’s forecast sales. You estimate production costs at $1.50 /unit and the sales price at $4/unit. Sales forecasts are given in the following table. The tax rate is 35%, and the discount rate is 12%. What is the project NPV?

You are investigating the effect of strong base on the solubility of zinc hydroxide, Zn(OH)₂ (s).

(Ksp= 3 x 10^{- 15} for Zn(OH)₂ (s))

You prepare 1.0 L solution of 0.10M NaOH and add excess zinc hydroxide, Zn(OH)₂ (s).

Instead of suppresing the solubility, you observe extra solubility.

Your research advisor tells you that zinc ions react with four hydroxide ions in a solution to form the complex ion Zn(OH)₄^2- (aq).

(K_f = 2 x 10 ¹⁵ for Zn(OH)₄^2- (aq))

Calculate the pH of your solution.

QuickE Lube has been monitoring its customer service times over the past 5 days. Each day they took a sample of 10 customers and recorded the actual service times for those customers. The table below shows the sample mean and sample range for each of the 5 past samples. Excel access Sample 1 2 3 4 5 Mean 22 19 19.4 22.0 21.8 Range 4.4 5.1 3.2 2.9 1.0 What is the three-sigma upper control limits (UCL Only)the company should use to construct an X-bar chart for this service time data?  

Which of the following situations will produce a precipitate?

A solution containing 0.0030 M Ca2+ and 0.025 M CrO42- (Ksp for the possible CaCrO4 = 7.1 × 10-4).

A solution containing 0.095 M Tl+ (thallium(I)) and 0.0020 M Cl- (Ksp for the possible TlCl = 1.9 × 10-4).

A 500 mL solution containing 9.0 × 10-4 mol Sr2+ and 1.0 × 10-4 mol HPO42- (Ksp for the possible SrHPO4 = 1.2 × 10-7).

A solution containing 1.2 × 10-3 M Ba2+ and 1.2 × 10-2 M F- (Ksp for the possible BaF2 = 1.8 × 10-7).

Mr Brown is the manager of a portfolio consisting of stocks as shown below. the market risk premium is 8% and the risk free-rate is 3%

i) Calculate the beta and expected return of the portfolio

ii) Appraise & discuss why Mr Brown included stock Z in the portfolio

iii) Mr Brown strongly believe that the stock market would rise in the next one year. Discuss one possible way that he could use to increase the performance of the portfolio if the stock market were to rise.

a) An iron sulfide contains 36.5% S by mass. The iron sulfide is heated in an atmosphere of pure oxygen, which produces SO2(g) and an iron oxide containing 27.6% O by mass.

Write a balanced equation for the reaction.

If 1.0 kg of the iron sulfide reacts with excess oxygen, what is the theoretical yield of the iron oxide?

b) In the manufacture of Portland cement, limestone (CaCO3(s)) is decomposed into lime (CaO(s)) and CO2(g), in a kiln. Use data from Appendix C in your textbook to calculate how much heat is required to decompose 2.70 × 103 kg of limestone. (Assume that the heats of reaction are temperature independent.)

A child slides down a hill on a toboggan with an acceleration of 1.5 m/s2.

Part A If she starts at rest, how far has she traveled in 1.0 s? Express your answer using two significant figures. dd = nothing m

Part B If she starts at rest, how far has she traveled in 2.0 s? Express your answer using two significant figures. dd = nothing m

Part C If she starts at rest, how far has she traveled in 3.0 s? Express your answer using two significant figures. dd = nothing m

T or F

36. GDP= C + I + G + NX; I REPRESENTS CORPORATE INVESTMENTS AND CONSUMERS BUYING

HOUSES FOR THEIR FIRST TIME.

37. PUBLIC TRANSFER PAYMENTS INCLUDES SOCIAL SECURITY, UNEMPLOYMENT

COMPENSATION, AND AUNT TINA GIVING HER FAVORITE NEPHEW $ 250,000.

38. NOMINAL GDP= GDP - INFLATION.

39. DISCRETIONARY INCOME= DISPOSAL INCOME + (EXPENSES – 0) x 1.0.

40. STAGFLATION IS THE WORST OF ATIONS AFTER HYPERINFLATION.

41. MUTUAL FUNDS ARE A POOL OF MANY INVESTMENTS AND GIVES DIVERSIFICATION. THEY

ARE NOT SAFE.

42. THE UNEMPLOYED INCLUDES EVERYONE WITHOUT A JOB AND ARE LOOKING FOR A JOB

DURING THE LAST 4 WEEKS.

Two 50 ?? long, thin parallel straight wires (grey) are connected at their ends by metal springs. The mass of each thin wire is 1.0 ?. The upper wire is connected to the ceiling by (non-conducting) stiff rods. Each spring has an equilibrium length of 5.0 ?? and a spring constant of ? = 0.50 ?/?. A steady current ? runs clockwise through the wire-spring loop as indicated by the arrow. At equilibrium, the lower rod hangs at a level 6.0 ?? below the upper wire. Find the magnitude of the current. You may ignore the magnetic fields generated by the springs, and you may approximate the magnetic fields generated by the wires as those from long, straight wires