Unit 1 Dbq Essay Example

Unit 1 Dbq Essay Example Unit 1 Dbq Essay Unit 1 Dbq Essay They sailed over from England, all seeking glorified opportunities. These English colonists sought out an opportunity when boarding ships and leaving the Old World to travel to the exciting unknown; but each person had their own unique desire. These unique desires led to the many diverse societies that spread all throughout the eastern sea board of the New World by the 1700’s. Religious tolerance, organization in government, and economic stability were all contributing factors to the differences New England and Chesapeake Bay regions had. In Documents B and C, there are two lists of emigrants. Document B’s list is of emigrants traveling to New England and Document C’s list is of emigrants traveling to Virginia. These lists give names, ages, gender, some of their occupations, and the dates the emigrants arrived to their destination. These lists indicate that two distinct societies formed through the differences these people had when embarking to the New World. The list withheld in Document B shows that equally men and women traveled to the New England area than in Document C’s list; also more families, and one minister. In Document C there was a plethora of men compared to women. These people who traveled to Virginia all agreed to live by the Church of England and took oaths to keep its supremacy, this shows that based on the people traveling to Virginia were more religious than the colonists traveling to New England, they respected the Church of England and planned to turn Virginia into a small colony to practice religion, as if they were in England. The differences in the New England area versus the Chesapeake area was religious tolerance and the lists in these documents show how fundamental Virginia colonists were compared to New England colonists. Documents G and H both talk about reasons for diversity in the Chesapeake Bay area. Document G was by Governor Berkeley who fought to defend Virginia against Dutch attacks. This document shows how Governor Berkeley’s council tried to defend their freedom and keep practicing methods their way. Similarly, in Document H, Bacon writes a passage against Governor Berkeley in 1676 to justify his actions for pursuing his rebellion. Bacon says how arts and sciences and other ways of life are sucked up by the public. This shows that the Chesapeake region had conflict, involving religion and ways people should carry out daily activities. Bacon and Governor Berkeley were both prominent people in shaping the Chesapeake area into the religious, politically unorganized, middle colony it evolved to be. With this, it brought its society into a different importance than did New England. Documents D and E both exemplify factors of the New England society. Document D is an agreement in Springfield, Massachusetts in 1636 that talks about how they would like society to be run, and how the people are. That everyone should have a share of the meadow or planting ground. † This quote shows that this agreement helped make New England an equal and free society. The people wanted everyone to live amongst one another in harmony and have convenient living standards. Document E explains how New England wanted to regulate pay. It seems just and well thought out. This impacted the New England colony to achieving a n organized government and a stable political system unlike the Chesapeake Bay area. In Document A, John Winthrop writes a passage about Christianity and charity. He was a fundamental Puritan in the New England area who preached Christianity and how God wanted people to act. His passage contributes to how New England civilization was. The society was endowed in all sects of Christianity and Winthrop’s passage in Document A gives evidence that he wanted the colony to remain Christian and hold the same values as he did. In conclusion, New England and Chesapeake Bay were both settled by a large population of English colonists. However, they differed from each other in many different ways. New England was more lenient about religion, wanted equality, and seemed to have a plan to begin governmental organization right from the get go. On the other hand the Chesapeake was a more fundamental Christianity, had an unstable political plan and had various issues in settling the territory. They both were unique and heterogeneous when it came to the running of society and how people functioned but that’s why so many English settlers came to the New World; to found their beliefs in a place where they would be accepted and free.

Exponential Functions - How to Find the Starting Value

Exponential Functions - How to Find the Starting Value Exponential functions tell the stories of explosive change. The two types of exponential functions are exponential growth and exponential decay. Four variables - percent change, time, the amount at the beginning of the time period, and the amount at the end of the time period - play roles in exponential functions. This article focuses on how to find the amount at the beginning of the time period, a. Exponential Growth Exponential growth: the change that occurs when an original amount is increased by a consistent rate over a period of time Exponential Growth in Real Life: Values of home pricesValues of investmentsIncreased membership of a popular social networking site Heres an exponential growth function: y a(1 b)x y: Final amount remaining over a period of timea: The original amountx: TimeThe growth factor is (1 b).The variable, b, is percent change in decimal form. Exponential Decay Exponential decay: the change that occurs when an original amount is reduced by a consistent rate over a period of time Exponential Decay in Real Life: Decline of Newspaper ReadershipDecline of strokes in the U.S.Number of people remaining in a hurricane-stricken city Heres an exponential decay function: y a(1-b)x y: Final amount remaining after the decay over a period of timea: The original amountx: TimeThe decay factor is (1-b).The variable, b, is percent decrease in decimal form. Purpose of Finding the Original Amount Six years from now, perhaps you want to pursue an undergraduate degree at Dream University. With a $120,000 price tag, Dream University evokes financial night terrors. After sleepless nights, you, Mom, and Dad meet with a financial planner. Your parents bloodshot eyes clear up when the planner reveals an investment with an 8% growth rate that can help your family reach the $120,000 target. Study hard. If you and your parents invest $75,620.36 today, then Dream University will become your reality. How to Solve for the Original Amount of an Exponential Function This function describes the exponential growth of the investment: 120,000 a(1 .08)6 120,000: Final amount remaining after 6 years.08: Yearly growth rate6: The number of years for the investment to growa: The initial amount that your family invested Hint: Thanks to the symmetric property of equality, 120,000 a(1 .08)6 is the same as a(1 .08)6 120,000. (Symmetric property of equality: If 10 5 15, then 15 10 5.) If you prefer to rewrite the equation with the constant, 120,000, on the right of the equation, then do so. a(1 .08)6 120,000 Granted, the equation doesnt look like a linear equation (6a $120,000), but its solvable. Stick with it! a(1 .08)6 120,000 Be careful: Do not solve this exponential equation by dividing 120,000 by 6. Its a tempting math no-no. 1. Use Order of Operations to simplify. a(1 .08)6 120,000 a(1.08)6 120,000 (Parenthesis) a(1.586874323) 120,000 (Exponent) 2. Solve by Dividing a(1.586874323) 120,000 a(1.586874323)/(1.586874323) 120,000/(1.586874323) 1a 75,620.35523 a 75,620.35523 The original amount, or the amount that your family should invest, is approximately $75,620.36. 3. Freeze -youre not done yet. Use order of operations to check your answer. 120,000 a(1 .08)6 120,000 75,620.35523(1 .08)6 120,000 75,620.35523(1.08)6 (Parenthesis) 120,000 75,620.35523(1.586874323) (Exponent) 120,000 120,000 (Multiplication) Practice Exercises: Answers and Explanations Here are examples of how to solve for the original amount, given the exponential function: 84 a(1.31)7Use Order of Operations to simplify.84 a(1.31)7 (Parenthesis) 84 a(6.620626219) (Exponent)Divide to solve.84/6.620626219 a(6.620626219)/6.62062621912.68762157 1a12.68762157 aUse Order of Operations to check your answer.84 12.68762157(1.31)7 (Parenthesis)84 12.68762157(6.620626219) (Exponent)84 84 (Multiplication)a(1 -.65)3 56Use Order of Operations to simplify.a(.35)3 56 (Parenthesis)a(.042875) 56 (Exponent)Divide to solve.a(.042875)/.042875 56/.042875a 1,306.122449Use Order of Operations to check your answer.a(1 -.65)3 561,306.122449(.35)3 56 (Parenthesis)1,306.122449(.042875) 56 (Exponent)56 56 (Multiply)a(1 .10)5 100,000Use Order of Operations to simplify.a(1.10)5 100,000 (Parenthesis)a(1.61051) 100,000 (Exponent)Divide to solve.a(1.61051)/1.61051 100,000/1.61051a 62,092.13231Use Order of Operations to check your answer.62,092.13231(1 .10)5 100,00062,092.13231(1.10)5 100,000 (Parenthesis)62,092.13231(1.61051) 100,000 (Exponent)100,000 100,00 0 (Multiply) 8,200 a(1.20)15Use Order of Operations to simplify.8,200 a(1.20)15 (Exponent)8,200 a(15.40702157)Divide to solve.8,200/15.40702157 a(15.40702157)/15.40702157532.2248665 1a532.2248665 aUse Order of Operations to check your answer.8,200 532.2248665(1.20)158,200 532.2248665(15.40702157) (Exponent)8,200 8200 (Well, 8,199.9999...Just a bit of a rounding error.) (Multiply.)a(1 -.33)2 1,000Use Order of Operations to simplify.a(.67)2 1,000 (Parenthesis)a(.4489) 1,000 (Exponent)Divide to solve.a(.4489)/.4489 1,000/.44891a 2,227.667632a 2,227.667632Use Order of Operations to check your answer.2,227.667632(1 -.33)2 1,0002,227.667632(.67)2 1,000 (Parenthesis)2,227.667632(.4489) 1,000 (Exponent)1,000 1,000 (Multiply)a(.25)4 750Use Order of Operations to simplify.a(.00390625) 750 (Exponent)Divide to solve.a(.00390625)/00390625 750/.003906251a 192,000a 192,000Use Order of Operations to check your answer.192,000(.25)4 750192,000(.00390625) 750750 750