A bicycle has a listed price of $747.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.​

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Answer:

$813.40

Step-by-step explanation:

We know a bicycle has a listed price of $747.95 and the sales tax rate is 8.75. So, the price of the bike including tax is 1.0875 times more than the price without tax. Let's convert 747.95 and 1.0875 into fractions. Those would be 14959/20 and 87/80 respectively. Multiply the two fractions.

(14959 * 87)/(20 * 80)

Multiply 14959 by 87 to get 1301433.

1301433/(20 * 80)

Multiply 20 by 80 to get 1600.

1301433/1600

Divide 1301433 by 1600 to get 813.395625. This in question says to round to the nearest cent (if necessary, which it is here). 5 is equal to 5, so 813.395625 rounds to $813.40

The bike costs $813.40, sales tax included.