Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
For this case we must find the inverse of the following function:
To do this, we follow the steps below:
We exchange the variables:
We clear the variable "x" (the variable is already cleared):
We change "x" to "y":
We change y for :
ANswer:
Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that is a variable number between -1 and 1 (inclusive).
This means that .
for all value
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.
By squeeze theorem, if
and , then we can also conclude that
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at .
.
We can finally conclude that by squeeze theorem.
Some people call this sandwich theorem.