#### Explanation:

The formula for the Total Price is:

$N = p + t$

Where:

$N$ is the new price or total price

$p$ is the price = 85.99

$t$ is the tax which we need to calculate.

We can write the question for what is the tax as:

What is 7.5% of $85.99? "Percent" or "%" means "out of 100" or "per 100", Therefore 7.5% can be written as $\frac{7.5}{100}$. When dealing with percents the word "of" means "times" or "to multiply". Finally, we are looking for $t$or the tax. Putting this altogether we can write this equation and solve for $t$while keeping the equation balanced: t = 7.5/100 xx$85.99

t = ($644.925)/100 t =$6.45 rounded to the nearest penny.

Now we can substitute this into the equation above and find the New Price:

N = $85.99 +$6.45

N = \$92.44#