college students are offered a 8% discount on...
college students are offered a 8% discount on a textbook that sells for $41.50. if the sales tax is 8%, find the cost of the textbook including the sales tax. the textbook costs $ (type an integer or a decimal. round to the nearest cent.)
Answer
# Explanation:
## Step1: Calculate the price after discount
The original price of the textbook is $41.50. The discount rate is 8% or 0.08. The price after discount $P_d$ is calculated as $P_d=(1 - 0.08)\times41.50$.
$P_d = 0.92\times41.50=38.18$.
## Step2: Calculate the price after tax
The sales - tax rate is 8% or 0.08. The price after tax $P_t$ is calculated as $P_t=(1 + 0.08)\times P_d$.
$P_t=1.08\times38.18 = 41.2344\approx41.23$.
# Answer:
41.23