Question

after a series discount of 12/16/12, the net cost of a computer system is $897.05. what is the list price? the list price of the system is $\square. (round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimal multipliers

A 12% discount means we pay \(1 - 0.12 = 0.88\) of the price. A 16% discount means we pay \(1 - 0.16 = 0.84\) of the price. A 12% discount means we pay \(1 - 0.12 = 0.88\) of the price.

Step2: Find the product of the multipliers

We multiply these three multipliers together: \(0.88\times0.84\times0.88\)
First, \(0.88\times0.84 = 0.7392\)
Then, \(0.7392\times0.88 = 0.650496\)

Step3: Solve for list price (let \(L\) be list price)

We know that \(L\times0.650496 = 897.05\), so \(L=\frac{897.05}{0.650496}\)
Calculating this, \(L\approx1379.03\)

Answer:

\(1379.03\)