Tutor profile: Christian F.
Subject: US History
What was the Monroe Doctrine and what were its implications for the United States?
The Monroe Doctrine was the fifth president of the United States' approach to foreign policy in the Western Hemisphere. This was developed in the early 1820's around the same time Florida was acquired from Spain as President James Monroe was in office and the Spanish and Portuguese Empires were losing most of their holdings in the Americas. At this point in American History we must also note that the British were successfully driven out after the Revolution of 1776 and the War of 1812. On top of that, the French had already lost Haiti and sold Louisiana a couple of decades before the Doctrine was established and Europe had its hands full dealing with the aftermath of the Napoleonic Wars. Thus, colonialism was on its last leg in the Western Hemisphere, Monroe declared that no European power would be able to establish (or reestablish) a colony in the Western Hemisphere without this act being taken as a direct offense against the United States. This assertion was vital for the country as the only presence of Old World powers to contend with the United States were small existing colonies that the Monroe Doctrine didn't take issue with. Henceforth, the country was even more established as its own entity rather than just a former colony and it was able to pursue Manifest Destiny without much cause for worry of Europe stopping them. The only serious enemy that was able to slow the growth of the States for about a century was itself as it did over the issue of slavery and states' rights.
Subject: European History
How did the Protestant Reformation change the power structure of Europe?
The Protestant Reformation changed the power structure of Europe by weakening the role of the Papacy and the Roman Catholic Church thus allowing European states to gain power and nationalize religion as they no longer had to pay as much deference to Rome. This was seen in the Holy Roman Empire as many feudal lords and princes supported Martin Luther and adopted Lutheranism. Similarly, in Switzerland, Calvinism took off, and Anglicanism became the state religion of England. All of this allowed for these governing structures to go on with much less opposition as the opinion of the Catholic Church and all of its bishops could be ignored and the new state religion would offer little to no resistance. Likewise, spirituality and philosophy was now regulated on a more local level which paved the way for a plethora of new denominations of Christianity as well as the Enlightenment.
A bookstore determined its annual profit in dollars using p(n) = 33n - 0.07n^2, where n is the number of books sold. What is the annual profit if the bookstore sells 316 books?
Equations: 1) p(n) = 33n - 0.07n^2 2) n = 316 Steps: 1. p(316) = 33(316) - 0.07(316)^2 [Plug in 316 for n based on equation 2] 2. p(316) = 33(316) - 0.07(99,856) [Exponentiation of n as this is the proper order of operations according to PEMDAS.] 3. p(316) = 10,428 - 0.07(99,856) [Multiply 33 times 316 (AKA n) resulting in 10,428. This was done as Multiplication is the next step in the order of operations and it is proper to work from left to right.] 4. p(316) = 10,428 - 6,989.92 [Multiply 0.07 times 99,856 (AKA n^2) resulting in 6,989.92. This was done for the same reasons as step 3] 5. p(316) = 3,438.08 [Finally, we subtract 10,428 by 6,989.92 as this is the last step in the order of operations and this is the last operation in the equation to do. This results in 3,438.08, thus the annual profit for the bookstore if they sell 316 books is $3,438.08.] Answer: The annual profit if the bookstore sells 316 books is $3,438.08.
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