Final answer:
Calculating the final price after applying a series discount of 5/10/20 to the original price of $3785, the amount paid is found to be $2588.94. The provided answer options do not include this result, which might imply an error in the question or the answer choices.
Step-by-step explanation:
The student is asking for help with figuring out the final price Northland Communication College paid for classroom furniture after applying a series of discounts and a cash discount for early payment. Initially, the furniture is listed at $3785, with a series discount of 5%, then 10%, and finally 20%. This type of calculation is known as a series discount where each discount is applied sequentially to the remaining balance. The terms of 3/10-20 extra indicate a cash discount of 3% is additionally available if payment is made within 10 days; however, the question specifies that payment was made within 30 days, so we will not consider this additional discount.
Firstly, let's calculate the series discounts step by step:
1. $3785 − ($3785 \times 0.05) = $3595.75
2. $3595.75 − ($3595.75 \times 0.10) = $3236.18
3. $3236.18 − ($3236.18 \times 0.20) = $2588.94
Since the college paid the invoice within 30 days, the final amount paid was the result after applying the series discounts, which is $2588.94. The options provided in the question do not match this result, suggesting a possible error in the provided options or in the understanding of the question.