To calculate the annual profit using the profit function \( p(n) = 32n - 0.04 \), you need to substitute \( n \) with the number of pizzas sold, which is 350.
\[ p(350) = 32(350) - 0.04 \]
First, calculate \( 32 \times 350 \):
\[ 32 \times 350 = 11200 \]
Now, substitute this back into the equation:
\[ p(350) = 11200 - 0.04 \]
Now perform the subtraction:
\[ p(350) = 11199.96 \]
Therefore, the annual profit if the shop owner sells 350 pizzas is $11,199.96.