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.