The formula A = P(1 + r) t represents the amount of money A in an account after t years, where P is the amount initially deposited and r is the interest rate. Patricia currently has $1839.79 in an account that has an interest rate of 2.5%. She opened the account 8 years ago and has made no additional deposits since then. a. Solve the formula for P and find the amount of Patricia's initial deposit. b. Nia says that for the formula in part a, A is always greater than P when r is positive and t is a positive integer. Do you agree? Why or why not?