Question: Find the amount A in an account with continuously compounded interest after t years if = rA, A(0) = 8,000, and A(4) = 8,326.49. The

Find the amount A in an account with continuously compounded interest

Find the amount A in an account with continuously compounded interest after t years if = rA, A(0) = 8,000, and A(4) = 8,326.49. The differential equation is of the form with k = (Round to three decimal places as needed.) The amount at time t is A(t) = (Type an exact answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

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