Ms. Early Saver has decided to invest $1000 at the end of each year for the next 10 years and then she will just let the amount compound for 40 additional years. Her brother, Late Saver, has a different investment program; He will invest nothing for the next 10 years but will invest $1000 per year (at the end of each year) for the following 40 years. If we assume an 8% rate of return, compounded annually, which investment program will be worth more 50 years from now?

Please explain each step thoroughly and make sure answer is correct thank you