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>
Answer:
1775–1830
U.S. Indian policy during the American Revolution was disorganized and largely unsuccessful. At the outbreak of the war, the Continental Congress hastily recruited Indian agents. Charged with securing alliances with Native peoples, these agents failed more often than they succeeded. They faced at least three difficulties. First, they had less experience with Native Americans than did the long-standing Indian agents of the British Empire. Second, although U.S. agents assured Indians that the rebellious colonies would continue to carry on the trade in deerskins and beaver pelts, the disruptions of the war made regular commerce almost impossible. Britain, by contrast, had the commercial power to deliver trade goods on a more regular basis. And third, many Indians associated the rebellious colonies with aggressive white colonists who lived along the frontier. Britain was willing to sacrifice these colonists in the interests of the broader empire (as it had done in the Proclamation of 1763), but for the colonies, visions of empire rested solely on neighboring Indian lands. Unable to secure broad alliances with Indian peoples, U.S. Indian policy during the Revolution remained haphazard, formed by local officials in response to local affairs.
1. Motivation
2. Reprimand
3. Constructive Criticism
4. Hygiene
5. Sanitation
6. Dysentery
7. Purified
8. Disinfect
9. Accountability
10. Delegate
11. Morale
12. Persuade
13. Authority
14. Dealership
15. Discipline
16. Galvanized
17. Scholarship
18. Telling
19. Single
20. Consulting
The answer is none of the above, i dont know how but i was just asked the same question and got it wrong so yeah lol
Answer
Its 12 months
Explanation
According to IRS, it allows for a single tax-free rollover of a 529 account per beneficiary in a 12-month period. This 12 month rule should not be violated because it can result to a 10% penalty on the earnings. However, transfers across siblings are not considered rollovers.