Please answer the following question quickly, showing all work accordingly on all sections. Thank you.

Suppose you invest $800 in an account paying 7% interest per year. a. What is the balance in the account after 3 years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 35 years? How much of this balance corresponds to "interest on interest"? Which do you prefer: a bank account that pays 5.7% per year (EAR) for three years or a. An account that pays 2.5% every six months for three years? b. An account that pays 7.6% every 18 months for three years? c. An account that pays 0.62% per month for three years? (Note: Compare your current bank EAR with each of the three alternative accounts. Be careful not to round any intermediate steps less than six decimal places.)