Question

after a series discount of 13/21/7, the net cost of a computer system is $937.46. 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 discount of 13% means we pay \(1 - 0.13 = 0.87\) of the original price.
A discount of 21% means we pay \(1 - 0.21 = 0.79\) of the previous price.
A discount of 7% means we pay \(1 - 0.07 = 0.93\) of the previous price.

Step2: Multiply the multipliers together

To find the overall multiplier, multiply the three decimals:
\(0.87\times0.79\times0.93\)
First, \(0.87\times0.79 = 0.6873\)
Then, \(0.6873\times0.93 = 0.639189\)

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

Let \(L\) be the list price. We know that \(L\times0.639189 = 937.46\).
So, \(L=\frac{937.46}{0.639189}\)
Calculating this, \(L\approx1466.64\)

Answer:

\(1466.64\)