Assume that demand for a commodity is represented by the equation P = 10 – 0.2 Qd, and supply by the equation P = 5 + 0.2 Qs where Qd and Q s are quantity demanded and quantity supplied, respectively, and P is the Price. Use the equilibrium condition Qs = Qd , 1: Solve the equations to determine equilibrium price. 2: Now determine equilibrium quantity. 3: Graph the two equations to substantiate your answers and label these two graphs as D1 and S1. 4: Furthermore; assume the demand for this product increases because of a change in income. A: graph the new demand curve and label as D 2. B: What will be the new equilibrium price and quantity compare to the initial one. C. Is this product normal good or inferior good?

An inductor (0.2 Henry) and a resistor (2ohms) are connected in series with a battery of EMF 5.0 volts.

a) Draw the circuit (don't forget the switch)

b) At time t=0 and time= infinity find the current that passes through the battery

c) What's the time constant for the circuit?

d) What's the back EMF provided by the inductor at t= 1.0 sec?

e) What's instantaneous energy saved in the inductor at time t= 1.0 sec?

f) What is the total magnetic flux that is coupled with the inductor at t= 1.0 sec?

An individual has $25,000 invested in a stock with a beta of 0.3 and another $40,000 invested in a stock with a beta of 1.4. 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.

An individual has $50,000 invested in a stock with a beta of 0.3 and another $40,000 invested in a stock with a beta of 2.5. If these are the only two investments in her portfolio, what is her portfolio's beta? Round your answer to two decimal places.

Suppose we know that the income elasticity of demand for beer in cans in –0.3. If consumers’ incomes go up by 20%, what would be the change in the demand for beer? (Provide the formula and your calculations.)

If 0.10 g of benzene (C6H6) is ignited in a 0.3 L vessel at 298K and surrounded by 25 atm of oxygen: a) Write the net reaction; b) How many moles of O2 were consumed?; c) How many moles of product were produced?; d) What is the change in moles in the reaction vessel?; e) Assuming all of the products were ideal gas what is the new pressure in the container?; f) What is the work done by this reaction?; g) If one of the products is a liquid what would be the change in pressure. Assuming the volume of liquid is very small compared to gas, how much work was done by this system? PLEASE SHOW ALL WORK! thank you.

What A laminated steel (E = 200 GPa and ? = 0.3) cylinder consists of a jacket with an inside diameter of 200 mm and an outside diameter of 300 mm shrunk onto a tube with an inside diameter of 100 mm. The initial shrinkage pressure is 25 MPa.
Determine:

a. The maximum tensile stress in the cylinder after it is fabricated subject to an internal pressure of 200 MPa.

b. What and where is the maximum shear stress?

If A and B are mutually exclusive, with P(A) = 0.3, P(B) = 0.5. What is the probability that

•either A or B occurs;

•A occurs but B does not;

•both A and B occur;

•neither A nor B occur;

•A or B but not both?

0.3 The Fibonacci numbers Fn are defined by F1 = 1, F2 = 1 and for n >2, Fn = F sub (n-1) + F sub (n-2). Find a formula for Fn by solving the difference equation.