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A roll of plastic electrical tape costs 2.79. If the sales tax rate is 5%, then how much does the tape cost?

a) 2.79
b) 2.94
c) 2.99
d) 3.00

1 Answer

6 votes

Final answer:

To find the total cost of tape with a 5% sales tax, convert the tax rate to decimal and multiply by the price of the tape, then add the result to the original cost. After rounding, the total cost is closest to $2.94.

Step-by-step explanation:

To find the total cost of the tape including sales tax, we need to calculate the amount of tax and add it to the original price. The sales tax rate is given as 5%, which means we need to multiply the original price by 0.05 to find the tax amount. In this case, the original price is $2.79, so the tax amount is $2.79 x 0.05 = $0.1395. To round this to the nearest cent, we get $0.14. Adding the tax amount to the original price, the total cost of the tape is $2.79 + $0.14 = $2.93. Therefore, option b) 2.94 is the closest amount to the actual cost.

To calculate the total cost of the tape including a 5% sales tax, we must first convert the sales tax rate into decimal form, which is 0.05, and then multiply it by the cost of the tape.

To find the amount of sales tax on the tape that costs $2.79, you multiply 2.79 by 0.05:

2.79 × 0.05 = 0.1395

To find the total cost of the tape including sales tax, you must add the sales tax to the original price:

$2.79 + $0.1395 ≈ $2.93

Since the total amount needs to be rounded to the nearest cent, $2.93 is approximately the total cost of the tape after including sales tax, which is closest to answer choice b) $2.94.

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