First you want to work the discount for the TV.
$187.13*0.75=$140.3475 (this will get you the price of the TV after the discount.)
Now round the answer $140.3475 to the nearest hundredth. The new answer is $140.35. So the price of the TV after the discount is $140.35. Next use this equation to solve for the tax that would be added to the price of the discounted TV:
(t*d)+d=p
In that equation t=taxes, d=discounted TV price, and p=price total. Now input the values you know.
(0.09*140.35)+140.35=p
Multiply what is in the parentheses first.
12.6315+140.35=p
Add the two numbers together.
152.9815=p
Round the end amount to the nearest hundredth.
152.98=p
So now you know that the total price of the discounted TV after tax is added is $152.98. I hope you could understand this and it helps! :D