Bob's Furniture Barn is having a sale on all their inventory for Labor Day, If you purchase anything this weekend, you do not pay the \( 9 \% \) sales tax on items. You decide to buy a new sofa for \( \$ 2,540 \), coffee table for \( \$ 629 \), and a club chair for \( \$ 1,845 \). How much are you saving by not paying tax? Round your answer to the nearest cent.
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To calculate how much you are saving by not paying the \( 9\% \) sales tax on your purchases, first find the total cost of the items you are buying: \[ \text{Total Cost} = \$ 2,540 + \$ 629 + \$ 1,845 = \$ 5,014 \] Now, calculate the sales tax that would typically apply: \[ \text{Sales Tax} = 9\% \text{ of } \$ 5,014 = 0.09 \times 5,014 = \$ 451.26 \] By not paying this sales tax, you are saving \( \$ 451.26 \). Rounding to the nearest cent, your total savings is: \[ \text{Total Savings} = \$ 451.26 \] So, you are saving \( \$ 451.26 \) by taking advantage of the Labor Day sale!