A home run is hit in such a way that the baseball just clears a wall 14 m high, located 120 m from home plate. The ball is hit at an angle of 37° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

(a) Find the initial speed of the ball.
-answer in m/s

(b) Find the time it takes the ball to reach the wall.
-answer in s

(c) Find the velocity components of the ball when it reaches the wall.

Find the speed of the ball when it reaches the wall.
m/s

1.A semi-annual pay floating-rate note pays a coupon of Libor + 60 bps, with exactly three years to maturity. If the required margin is 40 bps and Libor is quoted today at 1.20% then the value of the bond is closest to:

A. 99.42

B. 100.58

C. 102.332.

The following details (all annual equivalent) are collected from Treasury securities: Years to maturitySpot rate

2.0 1.0%

4.0 1.5%

6.0 2.0%

8.0 2.5%

Which of the following rates is closest to the two-year forward rate six years from now (i.e. the “6y2y” rate)?

A 2.0%

B 3.0%

C 4.0%

Some people have an allergic reaction to the food preservative sulfite (SO32−). Sulfite in wine was measured by the following procedure: To 50.0 mL of wine were added 5.00 mL of solution containing (0.8043 g KIO3 + 5 g KI)/100 mL. Acidification with 1.0 mL of 6.0 M H2SO4 quantitatively converted IO3− into I3−. The I3− reacted with SO32− to generate SO42−, leaving excess I3− in solution. The excess I3− required 12.86 mL of 0.04818 M Na2S2O3 to reach a starch end point. Find the concentration of sulfite in the wine. Express your answer in mol/L and in mg SO32− per liter.

A Zn-Cu battery is constructed as follows at 25^oC

Zn_(s) | Zn⁺²_(aq) (0.20 M) || Cu⁺²_(aq) (2.5 M) | Cu_(s)

The mass of each electrode is 200.0 gram and the volume of the electrolytes is 1.0 L

a) calculate the cell potential of the cell

b) calculate the mass of each electrode after 10.0 amp. of current has flowed for 10.0 hour Remember, the anode loses mass because of the oxidation reaction while the cathode gains mass due to the reduction process.

c) how long can this battery deliver a current of 10.0 amp before it goes dead?

Please answer urgently its 3 questions

1. If a=20 and b=10, and the types of a and b are int, then what will be the result of a%b?

(b). Suppose x is of type double. Fill in the dotted blank below to print x correct to one decimal place: cout << ............................... ;

2. Fill in the two dotted blank spaces below such that the output of the code will be: 35. int a ........... 7;

a ........... 7 ? cout<<5*a : cout<<4*a;

3. Indicate if each of the following will be represented accurately by a variable of type double by saying ”yes” or ”no” for each: (i) 1.0; (ii) 1/2; (iii) 1/3; (iv) 1/10.

Item19

Item19

Item 19

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 31 minutes and a standard deviation of 2 minutes, while method B has a mean of 35 minutes and a standard deviation of 1.0 minutes.

(a) Which procedure is preferred if the procedure must be completed within 30 minutes?

• Method A

• Method B

• Either Method

(b) Which procedure is preferred if the procedure must be completed within 38.0 minutes?

• Either Method

• Method A

• Method B

(c) Which procedure is preferred if the procedure must be completed within 37 minutes?

• Method B

• Either Method

• Method A

1. Brandt Enterprises is considering a new project that has an estimated cost of $900,000 and cash inflows of $286,000 each year in next 5 years. The project’s WACC is 8%. After estimating the cash flows of the project, the CFO conducted a scenario analysis and found the CV (coefficient of variation) of the project’s NPV is 3.8

1. Given that the CV of an average project of the company is in the range of 1.0 to 2.0, how will you interpret the result of the scenario analysis?
2. If the CFO uses a subjective adjustment of 3% in the discount rate to differentiate projects with various risk levels, what will be the risk-adjusted NPV? What do you conclude from the calculation?

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg, moves in the positive y-direction with speed v1 = 5.8 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.8 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) magnitude m/s direction ° counterclockwise from the +x-axis