Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

using complements (with respect to 1) of the single discounts, find the…

Question

using complements (with respect to 1) of the single discounts, find the net cost equivalent for the discount 30/10/5. the net cost equivalent is \boxed{}

Explanation:

Step1: Find complement of 30% discount

A 30% discount means we pay \(1 - 0.30 = 0.70\) of the original price.

Step2: Find complement of 10% discount

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

Step3: Find complement of 5% discount

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

Step4: Calculate net cost equivalent

Multiply the three complements together: \(0.70\times0.90\times0.95\)
First, \(0.70\times0.90 = 0.63\)
Then, \(0.63\times0.95 = 0.5985\)

Answer:

\(0.5985\)