Respuesta :

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

[tex]z=\frac{y}{100}\cdot x\text{.}[/tex]

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:

[tex]\frac{10}{100}\cdot3500=\frac{1}{10}\cdot3500=\frac{3500}{10}=350.[/tex]

Now, let's subtract it from the car's price:

[tex]3500-350=3150.[/tex]

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:

[tex]\frac{10}{100}\cdot3150=\frac{1}{10}\cdot3150=\frac{3150}{10}=315.[/tex]Answer

The down payment, excluding tax, for the car is

[tex]\$315.[/tex]