can you please answer all of the questions thank you

Helen is opening her first savings account and is depositing $500. Suppose she decides on a bank that offers 6% annual interest to be calculated at the end of each year. 1. Write a function A(t) to model the amount of money in Helen's savings account after t years and determine the amount in the The formula for account at the end of 1 year and 5 years. compound interest is A=P(1+kr)nt, where P represents the initial amount, r is the interest rate, 2. Suppose that the bank decides to start compounding interest k is the number of compounding at the end of every 6 months. If they still want to offer 6% per periods per year, year, how much interest would they offer per 6 -month period? and t represents time in years. 3. John, Betty Jo, and Lizzie were each asked to calculate the amount of money Helen would have in her savings at the end of the year if interest was compounded twice a year. Who's correct? Explain your reasoning. 4. Write a function to model the amount of money in Helen's savings account at the end of t years, compounded k times during the year. 5. Determine the amount of money in Helen's account at the end of 3 years if it is compounded: a. twice a year. b. monthly. c. daily. 6. What effect does the frequency of compounding have on the amount of money in her savings account