Answer:
(a)

(b) P(22) = $2,043.88
(c) t=10.83 years
Explanation:
The rate of change in the balance per year is given by:

(a) Integrating this expression yields the function P(t) for the accumulated balance:

Where C is the initial invested amount P0:

(b) For P0 = $500 ad t =22 years

(c) t for P(t) = $1,000 and P0 = $500
