Final answer:
After applying a 60% discount and 7% sales tax to the original $269.99 price of a Christmas tree, the final cost of the tree is $115.55.
Step-by-step explanation:
To calculate the cost of the Christmas tree after a 60% discount and 7% sales tax, you first need to determine the amount of the discount. A 60% discount on a $269.99 tree means you will multiply $269.99 by 0.60 (60% expressed as a decimal) to find the amount of the discount.
The discount amount is $269.99 × 0.60 = $161.994, which can be rounded to $162.00 when considering currency. So, the discounted price of the tree is $269.99 - $162.00 = $107.99.
Next, calculate the sales tax on the discounted price by converting the 7% tax rate to a decimal, which is 0.07, and multiply it by the discounted price of $107.99.
This amounts to $107.99 × 0.07 = $7.5593, which rounds to $7.56. Add this sales tax to the discounted price to get the total cost: $107.99 + $7.56 = $115.55.