Question

after a series discount of 15/17/6, the net cost of a computer system is $837.16. what is the list price? the list price of the system is $ (round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimal multipliers

A 15% discount means we pay \(1 - 0.15 = 0.85\) of the original price.
A 17% discount means we pay \(1 - 0.17 = 0.83\) of the previous price.
A 6% discount means we pay \(1 - 0.06 = 0.94\) of the previous price.

Step2: Multiply the multipliers together

The combined multiplier for the series discount is \(0.85\times0.83\times0.94\).
First, calculate \(0.85\times0.83 = 0.7055\).
Then, calculate \(0.7055\times0.94 = 0.66317\).

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

We know that net cost \(= L\times\) combined multiplier. So, \(837.16 = L\times0.66317\).
To find \(L\), divide both sides by \(0.66317\): \(L=\frac{837.16}{0.66317}\approx1262.36\).

Answer:

\(1262.36\)