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when a variable grows at constant rate, then the graph of the ln of the variable is a linear function of time, with slope that is approximately equal to the growth rate of the original variable (when that growth rate is small). Suppose that you put 100$ in a savings account at annual interest rate of 3.5%. Let St be the amount of savings at time t, where t= 0,1,2.....20
a. Using Excel, plot the graph that shows the amount of savings that you have in each of the years t= 0,1...20 That is, plot St against t.
b. Using Excel, plot the graph of Ln(St) against t.
c. What can you say about the shape of the graph in part b? What is the exact slope of the graph in part b?
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