a laptop has a listed price of $543.99 before tax. if the sales - tax rate is 9.25%, find the total cost of…

a laptop has a listed price of $543.99 before tax. if the sales - tax rate is 9.25%, find the total cost of the laptop with sales tax included. round your answer to the nearest cent, as necessary.

a laptop has a listed price of $543.99 before tax. if the sales - tax rate is 9.25%, find the total cost of the laptop with sales tax included. round your answer to the nearest cent, as necessary.

Answer

Explanation:

Step1: Convert tax rate to decimal

$9.25%=\frac{9.25}{100}=0.0925$

Step2: Calculate the amount of sales - tax

The amount of sales - tax is the product of the listed price and the tax rate. Let the listed price $P = 543.99$. The sales - tax amount $T=P\times0.0925=543.99\times0.0925 = 543.99\times\frac{9.25}{100}=50.229075$

Step3: Calculate the total cost

The total cost $C$ is the sum of the listed price and the sales - tax amount. $C = 543.99+50.229075=594.219075\approx594.22$

Answer:

$594.22$