for the past three years the manager of the math shoppe has observed that the stores revenue reaches a high of about $40,000 each december and a low of about 10,000 each june. a graph of the revenue over this three year period seems to indicate a sine function.

A.) if the months are numbered from 1 to 36 with 1 corresponding to january of the first year, then what are the period,amplitude and phase shift for this sine function?

B.) what is the vertical translation of the graph?

C.) find an equation for this sine function and use the equation to determine the approximate revenue for october of the second year.