For this case we have the following variable:
p: cost of the item that Arthur wants to buy before tax
The expression for the 6% tax is given by:
Or equivalently:
Therefore, two different expressions for the total cost are:
Expression 1:
Expression 2:
To prove that they are equal, suppose that the item costs $ 100:
Expression 1:
Expression 2:

Since the cost is the same, then the expressions are the same.
Answer:
Two different expressions that model the problem are:
Answer: D) 101
Step-by-step explanation:
By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?
Answer:
x = 10
Step-by-step explanation:
Breaking down the equation

Simplification

Answer:
a number to be divided by another number
Answer:
B
Step-by-step explanation:
since y and x vary directly the equation relating them is
y = kx ← k is the constant of variation
to find k use any ordered pair from the list given
using x = 4 when y = - 2, then
k =
=
= - 0.5 → B