a federal tax is paid to the federal governemnt
Answer:
Explanation:
Alright so the way to do this is to use properties of integrals to make our life easier.
So we have:

So lets break this up into two different integrals that represent the same area.

Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:

But since we have these values we can say that:
-3 - 2 = -5
Which means that
= -5
So now we can evaluate 
Lets first break up our integrand into two integrals
= 
Now we can evaluate this:
We know that
= -5
So:
where x is evaluated at 4 to 1 so
-15 + 2(3)
So we are left with -15 + 6 = -9
Answer:
Marginal analysis is helpful to individuals and businesses in balancing the costs and benefits of additional actions, like whether to produce more, consume more, and similar other decisions, thus determining whether the benefits will exceed costs and increase utility.
Answer:
51i + 48j
Explanation:
Let's simplify step-by-step.
12(3i+7j)+3(5i−12j)
|Which is the equation.|
Distribute:
=(12)(3i)+(12)(7j)+(3)(5i)+(3)(−12j)
=36i+84j+15i+−36j
Combine Like Terms:
=36i+84j+15i+−36j
=(36i+15i)+(84j+−36j)
=51i+48j
Answer:
=51i+48j
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)