A bank account earns 5% annual interest, compounded continuously. Money is deposited in

Chapter 9, Problem 10

(choose chapter or problem)

A bank account earns 5% annual interest, compounded continuously. Money is deposited in a continuous cash flow at a rate of $1200 per year into the account. (a) Write a differential equation that describes the rate at which the balance B = f(t) is changing. (b) Solve the differential equation given an initial balance B0 = 0. (c) Find the balance after 5 years.

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