a mountain bike is priced at $413. if the sales tax is 6.5 percent, what is the cost to purchase the…

a mountain bike is priced at $413. if the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85
Answer
Explanation:
Step1: Calculate sales - tax amount
The sales - tax rate is 6.5% or 0.065 in decimal form. The price of the bike is $413. The sales - tax amount $t$ is calculated by multiplying the price of the bike by the sales - tax rate, so $t = 413\times0.065=26.845$.
Step2: Calculate total cost
The total cost $C$ of purchasing the bike is the sum of the price of the bike and the sales - tax amount. So $C=413 + 26.845=439.845$.
Step3: Round to the nearest cent
Rounding 439.845 to the nearest cent gives $439.85$.
Answer:
$439.85$