An initial deposit of $500 in your bank will have a balance after t years given by the equation
P(t) = 500 (1.06)' dollars.
A. What are the units of the rate of change of P(t)?
B. Find the average rate of change over [0, 1].
C. Estimate the instantaneous rate of change at t = 1 by computing the average rate of change
over intervals to the left and right of t = 1.