16. find the final price on a $1,049 television that is on sale for 12% off if the sales tax is 4.5%.

16. find the final price on a $1,049 television that is on sale for 12% off if the sales tax is 4.5%.

16. find the final price on a $1,049 television that is on sale for 12% off if the sales tax is 4.5%.

Answer

Explanation:

Step1: Calculate the price after discount

The discount rate is 12%, so the price after discount is $(1 - 0.12)$ times the original price. The original price of the television is $1049$. So the price after - discount $P_1=1049\times(1 - 0.12)=1049\times0.88 = 923.12$.

Step2: Calculate the price after tax

The sales - tax rate is 4.5%, so the final price $P$ is $(1 + 0.045)$ times the price after discount. So $P = 923.12\times(1+0.045)=923.12\times1.045=964.6604\approx964.66$.

Answer:

$964.66$