which of the following products represents $6\\frac{3}{4}\\%$ tax, in dollars, on a price of $14.29?\na…

which of the following products represents $6\\frac{3}{4}\\%$ tax, in dollars, on a price of $14.29?\na. (0.00675)(14.29)\nb. (0.0675)(14.29)\nc. (0.675)(14.29)\nd. (6.75)(14.29)

which of the following products represents $6\\frac{3}{4}\\%$ tax, in dollars, on a price of $14.29?\na. (0.00675)(14.29)\nb. (0.0675)(14.29)\nc. (0.675)(14.29)\nd. (6.75)(14.29)

Answer

Answer:

B. $(0.0675)(14.29)$

Explanation:

Step1: Convert percentage to decimal

First, convert $6\frac{3}{4}%$ to a decimal. $6\frac{3}{4}=\frac{6\times4 + 3}{4}=\frac{27}{4}=6.75$. Then $6\frac{3}{4}%=\frac{6.75}{100}=0.0675$.

Step2: Calculate tax amount

The tax amount on a price $P$ with a tax - rate $r$ is given by $r\times P$. Here, $P = 14.29$ and $r=0.0675$, so the tax amount is $(0.0675)(14.29)$.