Final answer:
The sale price of the couch before taxes after a 35% discount on the $3400.00 list price is $2210.00. The absolute change in stock price after a 1.66% decrease from $298.85 per share is $4.96041.
Step-by-step explanation:
The subject of the question involves calculating discounts and percentage changes in prices, which is part of Mathematics, specifically, financial mathematics or consumer math. This appears to be at the high school level, since the concepts of percentage discount and percentage change are typically covered at that stage in a student's education.
The sale price of the couch before taxes, after a 35% discount on the list price of $3400.00, is calculated as follows:
- Calculate the discount amount by multiplying the list price by the discount rate: $3400.00 * 35% = $1190.00.
- Subtract the discount amount from the list price: $3400.00 - $1190.00 = $2210.00.
The sale price of the couch before taxes is $2210.00.
For the company's stock, the absolute change in stock price after a 1.66% fall from $298.85 per share is calculated by:
- Calculating the change amount: $298.85 * 1.66% = $4.96041.
- Subtracting this change from the initial stock price: $298.85 - $4.96041 = $293.88959.
The absolute change in stock price is $4.96041.