Solution:
Given:
I JUST BOUGHT A NEW COMPUTER FOR $1908.00, INCLUDING 6% SALES TAX.
That is, the total cost is
Let the item's original cost be represented by x
The total sales tax formula is
![Total\text{ s}ales\text{ tax}=item\text{ cost}* sales\text{ tax}](https://img.qammunity.org/2023/formulas/mathematics/college/5hydu531ncbnj1wnntwc62akiu1tcwjoew.png)
Where
![sales\text{ tax}=6\%=(6)/(100)=0.06](https://img.qammunity.org/2023/formulas/mathematics/college/yriiff8uxh28b1ys86w9dt3qeh9lpci6un.png)
Total sales tax will be
![=x*0.06=0.06x](https://img.qammunity.org/2023/formulas/mathematics/college/t6y6hxsq4yelnyy3g5n0tiwgetv0ebr5ck.png)
To find the total cost, the formula is
![\begin{gathered} Total\text{ cost}=Item\text{ }cost+Total\text{ sales tax} \\ 1908.00=x+0.06x \\ 1908.00=1.06x \\ 1.06x=1908.00 \\ x=(1908.00)/(1.06)=\text{ \$1800} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/oh8wjff5lf414mn8szpno3uzr2e9umundu.png)
Hence, the original cost, x, of computer is $1800