a laptop has a listed price of $769.98 before tax. if the sales tax rate is 6.5%, find the total cost of the…

a laptop has a listed price of $769.98 before tax. if the sales tax rate is 6.5%, 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 $769.98 before tax. if the sales tax rate is 6.5%, 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

The sales - tax rate is 6.5%, so we convert it to a decimal by dividing by 100. $6.5\div100 = 0.065$.

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 be $P = 769.98$ and the tax rate be $r=0.065$. The sales - tax amount $T$ is $T = P\times r=769.98\times0.065$. $T = 769.98\times0.065=49.0487$.

Step3: Calculate the total cost

The total cost $C$ of the laptop is the sum of the listed price and the sales - tax amount. $C=P + T$. $C=769.98+49.0487 = 819.0287$. Rounding to the nearest cent, $C\approx819.03$.

Answer:

$819.03$