Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (compare this to the model for growth of bacteria in the textbook). Let s(t) be the salary in millions of dollars at time t measured in years. (i) What are the values of s(0) and s(1)?
(ii) Formulate the differential equation for the salary ds dt
(iii) Approximately in how many years will the coaches salary be
(a) 10 mil.
(b) 20 mil.
(c) 30 mil.