To find the annual profit, we need to first calculate the profit \( p(n) \) using the given formula:
\[ p(n) = 32n - 0.04 \]
In this formula, \( n \) is the number of pizzas sold. We are to calculate this for \( n = 350 \):
\[ p(350) = 32(350) - 0.04 \]
Calculating \( 32 \times 350 \):
\[ 32 \times 350 = 11200 \]
Now, substituting back into the profit formula:
\[ p(350) = 11200 - 0.04 \]
\[ p(350) = 11199.96 \]
Thus, the annual profit if the shop owner sells 350 pizzas is approximately $11,199.96.