For this case we have a function of the form:
y = A (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
V (t) = 2000 (1.02) ^ t
Answer:
a function that gives the total value V (t) in dollars, of the investment t years from now is:
V (t) = 2000 (1.02) ^ t