A point charge Q moves on the x-axis in the positive direction with a speed of 170 m/s. A point P is on the y-axis at y = +30 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to -0.7 μT k^. When the charge is at x = +40 mm, what is the magnitude of the magnetic field at point P? (μ 0 = 4π × 10-7 T · m/A)

Compare

how much electrical energy can be produced from one gram of natural uranium using the nuclear technology (assuming 0.7% content of U235 isotope in natural uranium and a conventional nuclear reactor of thermal type with light water)

vs

one gram of silicon in a silicon solar cell with 100 µm thick wafer and 18% conversion efficiency (assuming lifetime 40 years and PV module location in Lausanne)

Two firms, Firm X and Firm Y, are both considering investing in Project Z, which has an IRR of 10.60%
and a beta of 0.9. Firm X has an asset beta of 0.7 and Firm Y’s asset beta is 1.2. The risk-free rate is 3.00%
and the expected return on the market is 11.00%. Explain clearly and concisely whether each firm should
take the project, being sure to justify your reasoning.

The equilibrium price for a product is $58, and the quantity sold of the product is 4060. The price elasticity of demand is -4.6, and the price elasticity of supply is 0.7.

Find the demand curve and the supply curve for the product. (Your answer for the demand curve should be in the form Q_d = a – bP, with specific numerical values given for a and b. Your answer for the supply curve should be in the form Q_s = c + dP, with specific numerical values given for c and d.)

You are about to calculate the value of a call option on shares. You have the following information. The share price is 49 SEK, The exercise price is 50 SEK. The risk free interest rate is 3% and the time to maturity is 3 month. d1=0.7 and d2=0.5.

a. What is N(d1) and N(d2)?

b. What is the value of the call option?

c. With the same information.

d. What is the value of the put option?

An encryption-decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.7% of the messages processed, transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent. Round your answers to four decimal places (e.g. 98.7654).

(a) What is the probability of a completely defect-free message?

(b) What is the probability of a message that has either an encode or a decode error?

A turntable is off and is not spinning. A 1.5 g ant is on the disc and is 18 cm away from the center. The turntable is turned on and 1.4 s later it has an angular speed of 33 rpm. Assume the angular acceleration is constant and determine the following quantities for the ant 0.7 s after the turntable has been turned on. Express all quantities using appropriate mks units.
α =
ω =
v =
a_tan =
a_rad =
a =
F_net =

Generate the Simple linear regression results and Parameter estimates table in StatCrunch for the least-squares regression equation and include them with your submission.

3. Consider Binomial(10, 0.3) distribution. Do the following tasks:

(b) Write down the mean and standard deviation of each distribution.

(c) Find the lower tail probability of 4.

(d) What is the probability that the value of the random variable is 2?

(e) What is the probability that the value of the random variable is greater than 2 and less than or equal to 4?

Sodium nitroprusside is ordered at 0.3 mcg/kg/min for a 220-lb patient. A vial containing 50 mg of sodium nitroprusside in 2 mL is diluted to 250 mL with NSI and ordered to run at 14 mL/h. Is this run rate correct? If not, what should be the correct infusion rate? The correct answer is no, and 9 mL/h. Please show how this problem is solved.