Question

9) An investment of $20,000 earns interest at an annual rate of 3.6% compounded continuously. a) Find the instantaneous rate of change of the amount in the account after 3 years. b) Find the instantaneous rate of change of the amount in the account when the amount is equal to $25,000.

Answer 1

Answer:

a) The instantaneous rate of change of the amount in the account after 3 years = dA/dt = 802.114

b) The instantaneous rate of change of the amount in the account when the amount is equal to $25,000 = dA/dt = 900

Explanation:

The detailed step by step and appropriate derivation is as shown in the attachment