Question

after a series discount of 14/14/7, the net cost of a computer system is $805.34. 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 14% discount means we pay \(1 - 0.14 = 0.86\) of the price. Similarly, the second 14% discount gives a multiplier of \(0.86\), and the 7% discount gives a multiplier of \(1 - 0.07 = 0.93\).

Step2: Find the product of the multipliers

The combined multiplier for the series discount is \(0.86\times0.86\times0.93\). First, calculate \(0.86\times0.86 = 0.7396\). Then, \(0.7396\times0.93 = 0.687828\).

Step3: Solve for list price (LP)

We know that net cost \(=\) list price \(\times\) combined multiplier. So, \(805.34 = LP\times0.687828\). To find \(LP\), we divide both sides by \(0.687828\): \(LP=\frac{805.34}{0.687828}\approx1170.85\).

Answer:

\(1170.85\)