1. Show all working for the following questions. Give your final answer to each part rounded to 2 decimal places. (a) Suppose $700 is deposited into an account that earns 3% p.a. interest, compounded quarterly. How much money will be in the account after 5 years? (b) How much money should be deposited into an account that earns 3% p.a. interest, compounded quarterly, in order for the balance to reach $1,000 at the end of 5 years? (c) Suppose $700 is deposited into an account that earns 3% p.a. interest, compounded quarterly. How many years will it take for the balance to reach $1,000 ? (d) Now instead suppose the interest is 3% p.a. compounded continuously. If $700 is deposited, then how much money will be in the account after 5 years? (e) Suppose interest is 3% p.a. compounded continuously. If $700 is deposited, then how many years will it take for the balance to reach $1,000