Final answer:
To find the final amount Rachel will pay for the TV, subtract the discounts from the initial price and add the mail-in rebate. The final amount Rachel will pay is $2,372.50.
Step-by-step explanation:
To find the final amount that Rachel will pay, we need to calculate the sale price after the discount and the amount of the mail-in rebate. First, let's calculate the sale price by subtracting the 15% discount from the initial price of $3,000:
Sale price = $3,000 - (15% x $3,000) = $3,000 - $450 = $2,550
Next, let's calculate the 5% discount on the sale price:
Discounted price = $2,550 - (5% x $2,550) = $2,550 - $127.50 = $2,422.50
Finally, let's add the $50 mail-in rebate to get the final amount Rachel will pay:
Final amount = $2,422.50 - $50 = $2,372.50
Therefore, Rachel will pay $2,372.50 as the final amount.