Math Forum - Problem of the Week


Miranda and the Rookie

Miracle Miranda plays for the California Hoops basketball team. After the Hoops won the WNBA championship, the manager offered her a million dollars a year for the next 25 years, whereas a new rookie for the same team was given $1 the first year, $2 the second year, $4 the third year, $8 the fourth year, and so on, for the next 25 years.
  1. What is Miranda's salary in year 15? What is the rookie's?
  2. In which year does the rookie's salary overtake Miranda's?
  3. At the end of 25 years, who has received the most money? How much has each one earned in all?
  4. What is Miranda's salary in year n? What is the rookie's?
  5. How much has Miranda received at the end of year n? What about the rookie?

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