Question

the list price of an item is $89.52. the supplier is offering a series trade discount of 10/21. find the net cost.

the net cost of the item is $\square.
(round to the nearest cent as needed.)

Explanation:

Step1: Convert first discount rate to decimal

A 10% discount means we pay 100% - 10% = 90% of the list price. As a decimal, this is $1 - 0.10 = 0.90$.

Step2: Apply first discount to list price

Multiply the list price by the decimal from Step 1: $\$89.52 \times 0.90 = \$80.568$.

Step3: Convert second discount rate to decimal

A 21% discount means we pay 100% - 21% = 79% of the price after the first discount. As a decimal, this is $1 - 0.21 = 0.79$.

Step4: Apply second discount to intermediate price

Multiply the price from Step 2 by the decimal from Step 3: $\$80.568 \times 0.79 = \$63.64872$.

Step5: Round to nearest cent

Rounding $\$63.64872$ to the nearest cent gives $\$63.65$.

Answer:

$\$63.65$