To solve the equation \( p(t) = 309 (1 + 0.08)^{10} \), we can first calculate the expression on the right side.
Starting with the inner expression:
\[ 1 + 0.08 = 1.08 \]
Next, we raise \( 1.08 \) to the power of \( 10 \):
\[ (1.08)^{10} \]
Using a calculator or computing it directly:
\[ (1.08)^{10} \approx 2.15892 \]
Now we can multiply this value by \( 309 \):
\[ p(t) = 309 \times 2.15892 \approx 667.91368 \]
So,
\[ p(t) \approx 667.91 \]
Thus, the final result is:
\[ p(t) \approx 667.91 \]