suzanne buys upgrades for her computer. the upgrades cost $311.60 before tax. the sales tax rate is 6.75%…

suzanne buys upgrades for her computer. the upgrades cost $311.60 before tax. the sales tax rate is 6.75%. how much sales tax does suzanne pay for the computer upgrades rounded to the nearest cent?

suzanne buys upgrades for her computer. the upgrades cost $311.60 before tax. the sales tax rate is 6.75%. how much sales tax does suzanne pay for the computer upgrades rounded to the nearest cent?

Answer

Explanation:

Step1: Convert percentage to decimal

The sales - tax rate of 6.75% is converted to decimal form. We divide the percentage by 100, so $6.75%=\frac{6.75}{100}=0.0675$.

Step2: Calculate the sales tax

To find the sales tax, we multiply the cost before tax by the sales - tax rate in decimal form. Let the cost before tax be $C = 311.60$ and the sales - tax rate be $r=0.0675$. Then the sales tax $T$ is $T = C\times r=311.60\times0.0675$. $311.60\times0.0675 = 311.60\times\frac{675}{10000}=\frac{311.60\times675}{10000}=\frac{209330}{10000}=20.933$.

Step3: Round to the nearest cent

Rounding $20.933$ to the nearest cent (hundredth), we get $20.93$.

Answer:

$20.93$