the tax rate as a percent, $r$, charged on an item can be determined using the formula $\\frac{c}{p}-1 = r$…

the tax rate as a percent, $r$, charged on an item can be determined using the formula $\\frac{c}{p}-1 = r$, where $c$ is the final cost of the item and $p$ is the price of the item before tax. louise rewrites the equation to solve for the final cost of the item: $c = p(1 + r)$. what is the final cost of a $40 item after an 8% tax is applied?

the tax rate as a percent, $r$, charged on an item can be determined using the formula $\\frac{c}{p}-1 = r$, where $c$ is the final cost of the item and $p$ is the price of the item before tax. louise rewrites the equation to solve for the final cost of the item: $c = p(1 + r)$. what is the final cost of a $40 item after an 8% tax is applied?

Answer

Explanation:

Step1: Identify values

$p = 40$, $r=0.08$

Step2: Substitute into formula

$c=p(1 + r)=40\times(1 + 0.08)$

Step3: Calculate result

$40\times(1 + 0.08)=40\times1.08 = 43.2$

Answer:

$43.2$