I have a question

Your employer automatically puts 5 percent of your salary into a 401(k) retirement account each year. The account earns 2% interest. Suppose you Just got the job. your starting salary is 560000, and you expect to receive a 3% raise each year. Additionally, you decide to deposit a fixed amount of $6000 each year to play it conservatively. For simplicity, assume that interest earned, your raises, and your annual deposit all occur continuously. A] Let 3(a) denote the dollar value of your retirement aooount in years. Write the differential equation modeling your account: (11% fl B) Solve the differential equation to find R{t). Hint: make use of the Extended Linearity Principle. no) =| C) Find the value of your retirement account after 25 years. Round answer to 2 decimal places. value-s