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>
Body- Kinesthetic would be the short answer to your question.
Capital formation improves the conditions and methods for the production of a country. Hence, there is much increase in national income and per capital income. This leads to increase in quantity of production which leads to again rise in national income. The World Bank tracks gross capital formation, which it defines as outlays on additions to fixed assets, plus the net change in inventories. Fixed assets include plant, machinery, equipment, and buildings, all used to create goods and services. Inventory includes raw materials and goods available for sale.Oct
Answer: For student who chose art, the number of grade 8 students was at least 100% greater than the number of grade 7 students
Explanation:
Grade 7 has about 7 students
Grade 8 has about 17 students
If you added 100% of the grade 7 students to that same art class you would only have 14 students, grade 8 still has more.