Question: Chapter 9, Review Exercises, Question 009 A deposit is made to a bank account paying an annual interest rate of 3% compounded continuously. No other

Chapter 9, Review Exercises, Question 009 A deposit is made to a bank account paying an annual interest rate of 3% compounded continuously.

Chapter 9, Review Exercises, Question 009 A deposit is made to a bank account paying an annual interest rate of 3% compounded continuously. No other deposits or withdrawals are made to the account. (a) Write a differential equation satisfied by B, the balance in the account after t years. dB = dt (b) Solve the differential equation given in part (a). Let Bo be the initial balance. Common $2 Matrix in sin(a) cos(a) tan(a) all alo do secla) cscla) cot(a) frax fax va va lalu sin(a) cos(a) tana ) B= (c) If the initial deposit is $4500, give the particular solution satisfying this initial condition. B= Qe (d) How much is in the account after 10 years? Round your answer to two decimal places. $ Number

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