When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where LaTeX: 3p^2-x^2=123 p 2 − x 2 = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month?

Frank is lending $1,000 to sarah for two years. frank and sarah agree that frank should earn a real return of 4 percent per year. instructions: a. the cpi (times 100) is 100 at the time that frank makes the loan. it is expected to be 113 in one year and 127.7 in two years. what nominal rate of interest should frank charge sarah?