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A store is having a 15% off sale and then offered you an additional 15% off any one sale item. suppose you are interested in an item that is originally priced $47.85. what is the sales price of the item? round your answer to the nearest cent.

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Final answer:

To find the final sales price of an item originally priced at $47.85 with two successive 15% discounts, apply each discount one after the other and round the final sales price to the nearest cent, resulting in $34.57.

Step-by-step explanation:

The problem deals with applying successive discounts to an item with an original price of $47.85. To calculate the sales price after a 15% off sale followed by an additional 15% off on the sale price, we need to apply the discounts one after the other. First, let's find the discount amount by converting the percentage to a decimal:

First Discount = Original Price × Discount Rate

= $47.85 × 0.15

= $7.1775

Subtract the first discount from the original price to find the sale price after the first discount:

Sale Price After First Discount = Original Price - First Discount

= $47.85 - $7.1775

= $40.6725

Now we calculate the second 15% discount on the sale price after the first discount:

Second Discount = Sale Price After First Discount × Discount Rate

= $40.6725 × 0.15

= $6.100875

Again, subtract the second discount from the sale price after the first discount to find the final sales price:

Final Sales Price = Sale Price After First Discount - Second Discount

= $40.6725 - $6.100875

= $34.571625

Rounding to the nearest cent, the final sales price is $34.57.

It's important to remember to apply each discount sequentially and round your final answer to the nearest cent when dealing with monetary values.

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