A company estimates that its sales will grow continuously at a rate given by the function
\[
S^{\prime}(t)=17 e^{0.8 t}
\]
where $S^{\prime}(t)$ is the rate at which sales are increasing, in dollars per day, on day $t$.
(A) Find the total accumulated sales for the first 5 days.
(B) Find the total accumulated sales from the 2 nd day through the 7 th day $\square$.
(Round to three decimal places as needed.)

Step 1 ：The problem provides the rate of sales growth as a function of time, \(S^{\prime}(t)=17 e^{0.8 t}\), where \(S^{\prime}(t)\) is the rate at which sales are increasing, in dollars per day, on day \(t\).

Step 2 ：To find the total accumulated sales for the first 5 days, we need to integrate the function from 0 to 5.

Step 3 ：Performing this integration, we find that the total accumulated sales for the first 5 days is approximately \$1138.96.

Step 4 ：To find the total accumulated sales from the 2nd day through the 7th day, we need to integrate the function from 2 to 7.

Step 5 ：Performing this integration, we find that the total accumulated sales from the 2nd day through the 7th day is approximately \$5641.31.

Step 6 ：Final Answer: The total accumulated sales for the first 5 days is approximately \(\boxed{1138.96}\). The total accumulated sales from the 2nd day through the 7th day is approximately \(\boxed{5641.31}\).