To determine the annual profit using the provided profit function \( p(n) = 32n - 0.04 \), where \( n \) is the number of pizzas sold, we simply need to substitute \( n = 350 \) into the equation.
Substituting \( n = 350 \):
\[ p(350) = 32(350) - 0.04 \]
Calculating \( 32 \times 350 \):
\[ 32 \times 350 = 11200 \]
Now, substituting that back into the profit equation:
\[ p(350) = 11200 - 0.04 = 11199.96 \]
Thus, the annual profit if the shop owner sells 350 pizzas is $11,199.96.