Please show work.

Question 5. In this question, we consider the compound interest for Jonathan: the principal is $50,000 and the annual rate is 3%, compounded monthly. (a) (1 pt) How many months does it take Jonathan to have enough $100,000 ? (b)* (1 bonus pt) Suppose now the time t is 10 years. What will happen to the end amount at the end 10 years, if the number of compounding periods per year (the term k in the formula) tends to infinity? Explain your answer. (Hint: the end amount will not tend to infinity)