#10 part C please. please show steps

10. Angelica wants to have $500,000 when she retires in 25 years. She found an investment account that pays an interest rate of 3.12% compounded monthly. She's considering two options: Option A: Invest a lump sum amount today and wait 25 years. Option B: Invest a fixed amount each month for 25 years a. (4 pts) For option A, how much does she need to invest today to achieve her goal? b. (4 pts) For option B, how much does she need to invest each month to achieve her goal? C. (3 pts) With which option, would she earn more interest