Answer: The required cost of the TV is $497.9.
Step-by-step explanation: We are given to find the cost of a $459.95 LCD TV including sales tax rate of 8.25%.
The amount of sales tax is given by
![S.T.\\\\=8.25\%*459.95\\\\=(8.25)/(100)*459.95\\\\=37.95.](https://img.qammunity.org/2019/formulas/mathematics/college/uxxwmt866t3wvpvnq0dy8asw27mj1kij7c.png)
Therefore, the cost of the LCD TV with sales tax is
![C.P.=459.95+S.T.=459.95+37.95=497.9.](https://img.qammunity.org/2019/formulas/mathematics/college/xleh0dov2mxmikbi9evyo0iee5bn7yqhq8.png)
Thus, the required cost of the TV is $497.9.