5.) Don Generoso MacRico is a wealthy man who has decided to create a total

fund to provide scholarships to college students. His intention is to begin to

award scholarships totaling $ 200,000 annually beginning on January 1,

2025, bestowing to be given every year for life. To this end, on 1 January

2010 the deposit in an investment account an amount of money and each

subsequent year, each January 1 until January 1, 2019, will deposit $ 25,000

more than the previous year that account. The account bears interest at 8%

per annum cup that is guaranteed for life.

a. Determine how much should be the Don Generoso deposit made on January 1,

2010.

b. Determine the magnitude of the last deposit that will Don Generoso in the account

on January 1, 2019.