Solve the following problems involving annuity functions. a) 3) Claire is planning for her retirement and estimates that she will need retirement savings total of $1.8 million on her 65th birthday. She plans to fund this by making annual deposits on eaclh birthday up to and including her 65th and estimates that she can earn 6% interest. Find her minimum annual deposit if she starts them on her 30h birthday Claire decides to invest SX from age 30-50, and $2X starting at age 51. How much should X be to meet her goal? A loan for $15,000 is to be repaid with 6 annual payments of $2800 with the first payment made today. Find the effective rate of discount d charged on the loan to the nearest %. b) c)