How fast do exponential functions grow? At age 25 you start to work for a company and are offered two rather fanciful retirement options. Retirement option 1: When you retire, you will be paid a lump...

How fast do exponential functions grow? At age 25 you start to work for a company and are offered two rather fanciful retirement options. Retirement option

1: When you retire, you will be paid a lump sum of $25,000 for each year of service. Retirement option

2: When you start to work, the company will deposit $10,000 into an account that pays a monthly interest rate of 1%. When you retire, the account will be closed and the balance given to you.

Which retirement option is more favorable to you if you retire at age 65? What if you retire at age 55?