7. (a) (5 pts) Andrea anticipates inflation to be 3% over the next three years. She has the opportunity to invest at a (non-adjusted) annual effective interest rate of 8.2%, but only wants to utilize this opportunity if her purchasing power will increase by an annual rate of at least 5%. Should she invest in this project? Explain your answer. (b) (5 pts) In fact, inflation is 3.5% for the first year, 2.7% for the second year, and 2.4% for the third year. If she invested in the project earning 8.2% (non-adjusted) annual effective interest for these three years, by how much will her purchasing power have increased by the end three year period? (Write as a age rounded to 2 decimal places.)