1) An investor deposits $35,000 into an IRA for his retirement in 25 years. The account pays 3.5% interest compounded continuously. He also plans to deposit $1800 each year into the account in a near-continuous manner for the same amount of time. What will be the value of his account after 25 years if he stays true to this plan? The differential Equation used to solve this problem dA dT rA + D The differential equation where A represents the accumulated amount in an investment account and where D is the deposit that is made annually, and r is the interest rate. Solve this continuous compounding problem. Initial deposit(A) = 35,000; D = 1800; r = 0.035