True hope this helps have a great day :)
A house is generally considered an appreciating asset because it may increase in value over time.
This is because when you buy a house, over time you are probably going to invest in it, change it a bit, add more rooms, change the old equipment, etc. which will all contribute to the increase of its value in the future. This is why it is an appreciating asset.
Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

Evaluate using a calculator:

b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:

We can evaluate using a calculator (math-9 on T1-84):


c.
If:

Then:

Evaluate at t = 20:


This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:

Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>
When I graduate, I am going to fine an awesome wife, a girl that loves me and I love her. I want to explore the world and have 1 kid.
~Jurgen
Hello!
Here is your answer:
Yes, it's correct, it is Googl.
I hope I could help!