If $1000 is invested in an account that pays 3% compounded continuously, the total amount, A(t), in
Question:
If $1000 is invested in an account that pays 3% compounded continuously, the total amount, A(t), in the account after t years is
A(t) = 1000e0.03t.
(a) Find the average rate of change per year of the total amount in the account for the first five years of the investment (from t = 0 to t = 5).
(b) Find the average rate of change per year of the total amount in the account for the second five years of the investment (from t = 5 to t = 10).
(c) Estimate the instantaneous rate of change for t = 5.
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At 1000e003 t a Average rate of change in the total amount from t 0 to t 5 which is 3237 ...View the full answer
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