Robert hitchcock is 40 years old today and he wishes to accumulate $500,000 by his 65th birthday so he can retire to his summer place on lake hopatcong. he wishes to accumulate this amount by making equal deposits on his 40th through his 64th birthdays. what annual deposit must robert make if the fund will earn 12% interest compounded annually?

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?