Final answer:
To find the final cost of the discounted guitar, first calculate the amount of discount by multiplying the original price by the discount percentage. Subtract the discount from the original price to get the sale price. Next, calculate the sales tax by multiplying the sale price by the tax rate. Finally, add the sales tax to the sale price to find the final cost for the customer.
Step-by-step explanation:
To find the final cost of the guitar, first calculate the amount of discount. Multiply the original price of $500 by 15% to get $75. This is the amount of discount. Subtract the discount from the original price to get the sale price: $500 - $75 = $425.
Next, calculate the sales tax. Multiply the sale price of $425 by 7% to get $29.75. This is the amount of sales tax.
Finally, add the sales tax to the sale price: $425 + $29.75 = $454.75. Therefore, the final cost for the customer is $454.75.