The owner keeps all the profits

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

Explain whether each of the following events increases or decreases the money supply. a. the fed buys bonds in open-market operations. b. the fed reduces the reserve requirement. c. the fed increases the interest rate it pays on reserves. d. citibank repays a loan it had previously taken from the fed. e. after a rash of pickpocketing, people decide to hold less currency. f. fearful of bank runs, bankers decide to hold more excess reserves. g. the fomc increases its target for the federal funds rate.

The common stock and debt of northern sludge are valued at $65 million and $35 million, respectively. investors currently require a return of 15.9% on the common stock and a return of 7.8% on the debt. if northern sludge issues an additional $14 million of common stock and uses this money to retire debt, what happens to the expected return on the stock? assume that the change in capital structure does not affect the interest rate on northern’s debt and that there are no taxes.