while shopping in georgetown, ruben bought a ...
while shopping in georgetown, ruben bought a wooden bench that was marked down 80% from an original price of $66.72. if the sales tax in georgetown is 5%, what was the total cost of the wooden bench?
Answer
# Explanation:
## Step1: Calculate the discounted price
The discount is 80% of the original price. The price after discount is (1 - 80%) of the original price. The original price is $66.72. So the discounted - price $P_d=(1 - 0.80)\times66.72=0.20\times66.72 = 13.344$.
## Step2: Calculate the total cost with sales tax
The sales tax is 5% of the discounted price. The total cost $C$ is the discounted price plus the sales - tax amount. The sales - tax amount is 5% of the discounted price. So $C = P_d+(0.05\times P_d)=P_d(1 + 0.05)$. Substitute $P_d = 13.344$ into the formula: $C=13.344\times(1 + 0.05)=13.344\times1.05 = 14.0112\approx14.01$.
# Answer:
$14.01$