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Karin decided to start her own chemistry lab in his bedroom so she could begin practicing to become the chemist who would finally cure the flu. She found a beginner's chemistry set online with most of the beakers, Bunsen burners and other equipment she need for $250.00. She also found a set of starter chemical solutions like Hydrochloric Acid, Hydroxide, Iron, Copper and Silver, all for $135.00. If she purchased both sets together would receive a 5% discount off the total price. A sales tax of 5% would be applied after the discount. What was the final price of her purchase?

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Final answer:

The final price Karin will pay for her chemistry lab equipment and chemicals, after applying a 5% discount and then adding a 5% sales tax, is $384.04.

Step-by-step explanation:

To calculate the final price Karin will pay for her chemistry lab equipment and chemicals, we will first calculate the total cost before discount, then apply the 5% discount to get the discounted price, and lastly, add the 5% sales tax to the discounted price. The total cost before discount is the sum of the prices of the chemistry set and the starter chemical solutions.

Total Cost = Chemistry Set + Chemical Solutions

= $250.00 + $135.00

= $385.00

Next, we apply the 5% discount.

Discount Amount = Total Cost × Discount Rate

= $385.00 × 5/100

= $19.25

Discounted Price = Total Cost - Discount Amount

= $385.00 - $19.25

= $365.75

Finally, we apply the 5% sales tax to the discounted price to find the final price.

Sales Tax = Discounted Price × Tax Rate

= $365.75 × 5/100

= $18.2875

Final Price = Discounted Price + Sales Tax

= $365.75 + $18.2875

= $384.0375

To round to the nearest cent, the final price that Karin will pay is $384.04.

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