An oscillating LC circuit is set up with an inductor with L = 60 mH and a capacitor with C = 4.0 µF with a maximum voltage of 3.0 V. Initially, at t = 0, the capacitor is fully charged.

(a) What is the maximum value of the current through the circuit?

(b) How long after t = 0 will it take before the current in the circuit is at a maximum for the first time?

(c) What is the maximum rate of change of the current in the circuit?

(d) What is the total energy stored in the circuit?

A firm has 2,000,000 shares of stock outstanding, total debt of $3,000,000 at an annual interest rate

of 8% and annual depreciation expense of $300,000, and is considering borrowing an additional

$6,000,000 at 8% and buying back one-half of those shares. Assuming EBIT of $1.2 million, what is this

company’s cash coverage ratio (a) before and (b) after the proposed restructuring? What can you

conclude about the impact of financial leverage on a firm’s cash coverage ratio?

16. On a frictionless horizontal air table, puck A (with mass 0.255 kg ) is moving toward puck B (with mass 0.375 kg ), which is initially at rest. After the collision, puck A has velocity 0.125 m/s to the left, and puck B has velocity 0.649 m/s to the right.

Part A: What was the speed vAi of puck A before the collision?

Part B: Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.

: After reading the assigned text, sit at the steps of your building/house for 20 minutes and observe what you see. Practice writing ethnographic field notes in your field notebook. What have you observed? Did you notice anything you have never noticed before? Response: Write a 250 - 400 word response in the discussion board. Summarize key points in the reading. Share your experiences of sitting on your steps.

Let: C = consumption, Ip = investment spending (as a function of price level), G = government spending, Tx = tax revenue, Yd = after-tax income, Assume for a given closed economy:

C=100 + 0.9 Yd – 20P

Ip= 400 – 40P G=300

T=100

Moreover, aggregate supply curve for this economy is defined by the following equation:

P=1.41 + 0.0001Y

a. According to the investment equation (Ip= 400 – 40P) as overall price level in the economy increases investment spending decreases. How could you explain this situation? Please use graphs to elaborate your answer.

b. Find the equilibrium level of overall price and aggregate output in this economy. What would be the value of consumption and investment spending at this equilibrium?

c. How would the equilibrium aggregate output and price level change if government spending increases to Gnew=400? What would be the value of consumption and investment spending at this new equilibrium?

d. Compare equilibrium values of investment spending and consumption you find in parts (c) and (d). How would you explain the changes? Elaborate your answer for both investment and consumption.

Lab: Exploration of Avogadro's Law-Determination of Percentage of Sodium Bicarbonate in an Alka-Seltzer Tablet

1) One concern with setting up a closed system experiment where gas is evolved during a reaction is the presence of leaks (another concern is that the system will explode if too much gas evolves!). We know that some leaking of pressure occurs because after a maximum pressure is achieved it slowly starts to decrease with time. Will a leak during gas evolution overstate or understate the amount of sodium bicarbonate in an Alka-Seltzer tablet and why?

2)In our rearranged Ideal Gas Law Δn=(ΔPV)/(RT) we considered V and T to remain constant. Is this a reasonable assumption and why? Assuming that T increased as a function of the reaction, would this cause an overestimation or underestimation of the amount of sodium bicarbonate?

3) To calculate the amount of sodium bicarbonate, we assume that there was enough citric acid to react completely with the sodium bicarbonate. However, if the citric acid is the limiting reagent, then the calculated amount for sodium bicarbonate would be incorrect. How could we experimentally test this possibility? Describe in two sentences how you would change the reaction conditions to account for this.

Study Hard Ltd has share capital of $2.7 million (1,200,000 shares) on 30 June 2012. At that date it also had a general reserve of $300,000 and retained profit of $640,000. On 1 September 2012, the directors authorised a public share issue on the basis of 200 000 shares. The shares were offered for subscription at $2 per share on application and $0.5 per share on call. The offer closed on 1 October 2012 with applications for 220 000 shares. Excess application monies were refunded on a pro rata basis. A call was made on the 4 November 2012.The call money was received on 28 November 2012 on all shares. On 4 February 2013 an interim dividend of 5 cents per share was paid on all shares (paid out of the retained earnings). Profit after tax for the year ended 30 June 2013 was $750,000. A final dividend was declared on all shares 30 June 2013 of 7.5 cents per share from retained earnings and $100,000 was transferred from the general reserve.

REQUIRED: Record general journal entries for above transactions for the year ended 30 June 2013.

From the historical data, the firm has determined the following transition matrix:
  

  
For example, if an account is two months overdue at the beginning of a month, there is a 40% chance that at the beginning of next month, the account will not be paid up (and therefore be three months overdue) and a 60% chance that the account will be paid up. It is assumed that after three months, a debt is either collected or written off as a bad debt. Once a debt is paid up or written off as a bad debt, the account is closed, and no further transitions occur.

What is the probability that a new account will eventually be collected?