Question

the list price of an item is $78.17. the supplier is offering a series trade discount of 12/9/11. find the net cost.

the net cost of the item is $\square
(round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimals

For a 12% discount, the complement is $1 - 0.12 = 0.88$.
For a 9% discount, the complement is $1 - 0.09 = 0.91$.
For an 11% discount, the complement is $1 - 0.11 = 0.89$.

Step2: Multiply the list price by the complements

First, multiply the list price by the first complement: $78.17\times0.88 = 68.7896$.
Then, multiply the result by the second complement: $68.7896\times0.91 = 62.598536$.
Finally, multiply the result by the third complement: $62.598536\times0.89 = 55.7127$.

Answer:

55.71 (rounded to the nearest cent)