Step-by-step explanation
To solve this kind of exercise, we must recall the percentage formula. It says that the y% of x, defined as z, is given by
![z=(y)/(100)\cdot x\text{.}](https://img.qammunity.org/2023/formulas/mathematics/college/q42sewg812869djocd8cqys7mdog279mcv.png)
Now, since the tax should not figure in our calculations, we must subtract it from the car's price. First, let's calculate how much it is, using the percentage formula:
![(10)/(100)\cdot3500=(1)/(10)\cdot3500=(3500)/(10)=350.](https://img.qammunity.org/2023/formulas/mathematics/college/11r6i8v0e33aew1cgb7obmrn548smvpcvu.png)
Now, let's subtract it from the car's price:
![3500-350=3150.](https://img.qammunity.org/2023/formulas/mathematics/college/45o10n589wu1ot9bvu511udhe0qypgackj.png)
Then, the price of the car is $3150, excluding tax. Finally, to solve the exercise, we only must calculate the 10% of this price, using the percentage formula:
![(10)/(100)\cdot3150=(1)/(10)\cdot3150=(3150)/(10)=315.](https://img.qammunity.org/2023/formulas/mathematics/college/ff7wql5kpdw5thvfp2ur6hsu6v6cq3p1pk.png)
Answer
The down payment, excluding tax, for the car is
![\$315.](https://img.qammunity.org/2023/formulas/mathematics/college/1cse93o34oaaw9yo3rbxncacl8b2t3xtjy.png)