Question

using complements (with respect to 1) of the single discounts, find the net cost equivalent for the following discount.
5/10/25

the net cost equivalent is 0.64125.
(type a whole number or a decimal.)

Explanation:

Step1: Find complement of 5%

A 5% discount means we pay \(1 - 0.05 = 0.95\) of the original price.

Step2: Find complement of 10%

A 10% discount means we pay \(1 - 0.10 = 0.90\) of the price after the first discount.

Step3: Find complement of 25%

A 25% discount means we pay \(1 - 0.25 = 0.75\) of the price after the second discount.

Step4: Multiply the complements

To find the net cost equivalent, we multiply these complements together: \(0.95\times0.90\times0.75\)
First, \(0.95\times0.90 = 0.855\)
Then, \(0.855\times0.75 = 0.64125\)

Answer:

\(0.64125\)