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the list price of an item is $70.23. the supplier is offering a series …

Question

the list price of an item is $70.23. the supplier is offering a series trade discount of 12/11/17. find the net cost. the net cost of the item is $\square. (round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimals

For a discount of 12%, the decimal multiplier is $1 - 0.12 = 0.88$.
For a discount of 11%, the decimal multiplier is $1 - 0.11 = 0.89$.
For a discount of 17%, the decimal multiplier is $1 - 0.17 = 0.83$.

Step2: Multiply the list price by each multiplier

First, multiply the list price by the first discount multiplier: $70.23\times0.88 = 61.8024$.
Then, multiply the result by the second discount multiplier: $61.8024\times0.89 = 55.004136$.
Finally, multiply the result by the third discount multiplier: $55.004136\times0.83 \approx 45.6534328$.

Answer:

$\$45.65$ (rounded to the nearest cent)