Future value. You are a new employee with the Metro Daily Planet. The Planet offers three different retirement plans. Plan 1 starts the first day of work and puts ​$ away in your retirement account at the end of every year for years. Plan 2 starts after 10 years and puts away ​$ every year for years. Plan 3 starts after 20 years and puts away every year for the last years of employment. All three plans guarantee an annual growth rate of ​%. a. Which plan should you choose if you plan to work at the Planet for ​years? b. Which plan should you choose if you plan to work at the Planet for only the next ​years? c. Which plan should you choose if you plan to work at the Planet for only the next ​years? d. Which plan should you choose if you plan to work at the Planet for only the next ​years? e. What do the answers in parts​ (a) through​ (d) imply about​ savings?