Question

HELP PLEASE ASAP 50 points ( IM TIMEd

Charles purchased a vintage guitar for $6,000. If he paid $570 in sales tax, what is the sales tax rate where he bought the guitar?

Final result: ________

The additional sales tax increased the price of the guitar by 9.25%, which is the sales tax rate.

The additional sales tax increased the price of the guitar by 9.5%, which is the sales tax rate.

The additional sales tax increased the price of the guitar by 9.75%, which is the sales tax rate.

The additional sales tax increased the price of the guitar by 9%, which is the sales tax rate.

original amount = ________

6,540

6,000

6,585

6,570

amount of change = ________

540

585

555

570

percent = ________

9

x

9.25

9.5

Answer 1

• The additional sales tax increased the price of the guitar by 9.5%, which is the sales tax rate.
• original amount: 6000
• amount of change: 570
• percent = 9.5

Explanation:

A percentage change is computed using the formula ...

(amount of change)/(original amount) × 100% = (percentage change)

Putting in the numbers from the problem statement, we have ...

• amount of change = increase in guitar price due to sales tax = $570
• original amount = price before sales tax is added = $6000

$570/$6000 × 100% = 9.5%

• percentage change = 9.5%

Since the only addition to the final price is sales tax, the percentage change is the tax rate.

The tax rate is 9.5%.