prime
1,426 results, page 13

Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so log2√36... 
Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so log2√36... 
Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so log2√36... 
RELIGION
One might do good amal deeds in the intention of getting the reward of Jannah. However, some ulama prefer a person to do for the love and gratitude towards Allah rather than seeking Jannah. So,perhaps the best thing to do is to focus primarily on doing good amal for the love ... 
islam
One might do good amal deeds in the intention of getting the reward of Jannah. However, some ulama prefer a person to do for the love and gratitude towards Allah rather than seeking Jannah. So,perhaps the best thing to do is to focus primarily on doing good amal for the love ... 
math
There are 3 red balls and 7 blue balls in Bowl A, and 8 red balls and 2 blue balls in Bowl B. Mandy rolls a die and if a prime number is up, Bowl A is selected; otherwise Bowl B is selected. Then Katie draws a ball randomly from the selected bowl. Find the probability of Bowl ... 
ALGEBRA 2...
*Please explain on how to do each of these! 1. Let (x) be defined for all positive integer values of x as the product of all even factors of 4x. For example, (3)=12x6x4x2=576. What is the value of (5)? Someone says that it is f(5)= 20x10x2x4=1600 I DO NOT GET HOW THEY ARRIVED ... 
Algebra 2.....
*Please explain on how to do each of these! 1. Let (x) be defined for all positive integer values of x as the product of all even factors of 4x. For example, (3)=12x6x4x2=576. What is the value of (5)? Someone says that it is f(5)= 20x10x2x4=1600 I DO NOT GET HOW THEY ARRIVED ... 
Fin
Midland Chemical Co is negotiating a loan from Manhattan Bank and Trust. The small chemical company needs to borrow $500,000. The bank offers a rate of 8¼ percent with a 20 percent compensating balance requirement, or as an alternative, 9¾ percent with additional fees of $5,... 
math
Something times something equals 97 Are you supposed to factor 97 as the product of integers? We need a little more info to help you. If you are expecting integer results, wait no more as 97 is a prime number. Therefore, no two integers have a product of 97. If you are not ... 
Big Data
Suppose our input data to a mapreduce operation consists of integer values (the keys are not important). The map function takes an integer i and produces the list of pairs (p,i) such that p is a prime divisor of i. For example, map(12) = [(2,12), (3,12)]. The reduce function ... 
Math
Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number. That starts out as an algebra ... 
Math
I am number greater than 70 000 but less than 90 000.My ones digit is the only even prime number.My tens digit id the same as my ones digit.My ten thousands digit is four times my ones digits.Both my hundreds and thousands digits are half the ten thousands digits.What number ... 
COLLEGE MATH
What is the PROCUREMENT cost of this system? Cost Types Cost (in millions) Research/Development $400 Procurement of Prime mission $800 Procurement of support equipment $100 Procurement of Initial Spares $100 Operations & and Support $70,000 Disposal $100 ANWERS! (A). 800 ... 
College Math
What is the PROCUREMENT cost of the below system? Cost Types Cost (in millions) Research/Development $400 Procurement of Prime mission $800 Procurement of support equipment $100 Procurement of Initial Spares $100 Operations & and Support $70,000 Disposal $100 ANWERS! (a) 800 ... 
math
What is the PROCUREMENT cost of this system? Cost Types Cost (in millions) Research/Development $400 Procurement of Prime mission $800 Procurement of support equipment $100 Procurement of Initial Spares $100 Operations & and Support $70,000 Disposal $100 ANWERS! (A). 800 ... 
MATH&&HELP
What is the PROCUREMENT cost of this system? Cost Types Cost (in millions) Research/Development $400 Procurement of Prime mission $800 Procurement of support equipment $100 Procurement of Initial Spares $100 Operations & and Support $70,000 Disposal $100 ANWERS! (A). 800 ... 
Math
How to factor x^3  3x^2 + 4 =0 Use D'Alembert's Rational Roots Theorem. Any rational roots of the form of p/q (p and q assumed to be relatively prime) must be such that p divides the constant term (in this case 4) and q divides the coefficient of the largest power of x (in ... 
math
my daughter is doing homework using greatest common factor, greatest common divisor, and prime factorization. She has this problem: Computers in the research room of the history museum are 30 wide, 30 inches apart and at either end of a row 30 inches from the wall. How many ... 
Math Grade 5
my daughter is doing homework using greatest common factor, greatest common divisor, and prime factorization. She has this problem: Computers in the research room of the history museum are 30 wide, 30 inches apart and at either end of a row 30 inches from the wall. How many ... 
macroecon  MC
hi guys just having a few torubles with this topic  "THE INCOME EXPENDITURE MODEL AND THE GOODS MARKET". 1)1. Brilliant economist Sean Wylie Blair, Governor of the Central Bank of the island nation of Chou Gai, decides to build a two sector model of the Chou Gai economy. He ... 
math
List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. ... 
MATH
just wanted to check a few more questions... 1. Find the prime factorization of the number 20. Answer 2x2x5 2. Find the greatest common factor of 30, 45, and 50. Answer 5 3. Complete the statement using the given property. 6 x (4 x 7) = Associative property of multiplication... 
Math
Every few days a student at a school will receive a souvenir such as a pencil or shirt. Every 24th day a student receives a souvenier. Every 56th day a student receives a souveiner and every 64th day a student receives a souvenier. Which student will be the first to have all ... 
MATH
lWhat is the PROCUREMENT cost of the below systems? Cost Types Cost (in millions) Research/Development $400 Procurement of Prime mission $800 Procurement of support equipment $100 Procurement of Initial Spares $100 Operations & and Support $70,000 Disposal $100 ANWERS! (A). ... 
Math
Jocelyn made a spinner If Jocelyn spins only one time what is the probability that the arrow will not land on a red section of the spinner? 3 parts are red 4 parts are blue 1 part is white A.1/8 B.5/8 C.3/8 D.1/2 B Palmer participated in sports for 8 hours and drama for 5 ... 
Fib. Number
I noticed someone else is having problems with the same problem below that I am. Since I have a Matt in my class he is having the same problem I am and could use some help. Fib. numbers are not in my math book and I cannot find any help online with these type of problem 1. If ... 
social studies
The International Date Line is halfway around the world from the Prime Meridian (0 degrees longitude). Therefore it is at _____ degrees longitude. The International Date Line is, by international agreement, where a given day actually starts. East of the _______ east of the ... 
Art
Could you please check these sentences, too? Thank you very much. 1) The Augustan were interested in real life. As for politics/as far as politics is concerned, the two main political parties were the Tories and the Whigs. 2) The poor used to live in terrible conditions. 3) ... 
Paul Martin
Who knows what website I can go to for some baby pictures of Paul Martin? It is for my social studies project. Thankz:P I did an internet check and found only pictures of the Prime Minister as an adult. I suggest you try finding a biography in your library. There is also a ... 
Calculus
Would you please check my answer to make sure I did it right? Bus travel, a bus company finds that monthly costs for one particular year were given by C(t) = 100 + t^2 dollars after t months. After t months the company had P(t) =1000 +t^2 passengers per month. How fast is its ... 
IINFORMATION NEEDED HELP
What did Kamloops resident Wendy Gardner do with Team Subaru in Fiji? Name the Canadian architect who designed the Experience Music Project in Seattle. Obtain an image of the building. What Canadian with the first name Daniel is a frequent producer of U2 albums? Find a website... 
finance
A small chemicalcompany is negotiatimg a loan from Manhatten Bank and Trust. The small chemical company needs to borrow $500,000. The bank offers a rate of 8 1/4 % with a 20% compensating balance, or as an alternative 9 3/4% with additional fees of $5,500 to cover the services... 
Civics
Which statement about officials found in various forms of government is least accurate? A. A confederation would likely have several states with powerful state senators. B. A parliamentary government would likely have a prime minister elected by the legislature. C. A unitary ... 
Calculus
Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (infinity, infinity) Intercepts: (0,1)and(1,0) ... 
English
Hello I am in 4th grade and i have wrote this poem: i am waiting for the rain from such a Long time this heatness is suffocating Air conditionar has just became the prime Opening the windows and everywhere is the grime Feel's like I am in a desert Will it ever rain or it will ... 
MATH
In a drawer Richard has 5 pairs of gloves. Each pair has a different color. On Day 1 Richard selects two individual gloves at random from the 10 gloves in the drawer. On Day 2 Richard selects 2 of the remaining 8 gloves at random and on Day 3 two of the remaining 6 gloves at ... 
accounting II
3. Definitions of manufacturing concepts Interstate Manufacturing produces brass fasteners and incurred the following costs for the year just ended: Materials and supplies used Brass $75,000 Repair parts 16,000 Machine lubricants 9,000 Wages and salaries Machine operators 128,... 
English
Can you check these sentences for me, please? Thanks a lot. 1) Can you say "he prefers working on his own rather than in a group?" or the only possible form is "He prefers working on his own to working in a group?" 2) It is a superb summer’s day between six and seven. The ... 
English
Thank you very much for your correction. I need to know which prepositions are possible after certain adjectives of emotions. I hope you can help me. 1)disgusted at/by/with (I need to provide examples). I was disgusted at/about/ by (?) the news of the Prime Minister's love ... 
Math
For an experiement to test elastic collision, ball 2 was at rest and ball 1 was released from a certain height and distance and hit ball 2. A set of measurements were collected which was v1 and v2 prime for each ball. I need to calculate the kinetic energy before and after ... 
Math
Using only the digits 2,3,5 and 7 complete the following problems below. 1.Name two things that the numbers 2,3,5,7 have in common 1.All prime numbers 2.What is the smallest possible number that can be written using each of these digits only once? 2357? 3.Using the 7 in the ... 
mathamatics
can i have a list of times tables And your question is? 1> Googal stands for how many zeros after one? 2> Who invented logarithm for fast calculation? what is the product of 9 & 6? How could I work a problem that is: I have a bacteria that replicates every 12.5 minutes ... 
Liberal Arts Math
how would i solve this problem?? it says factor the polynomial completely: 2xy3y40x+60 I studied polynomials, but I don't know what it means to factor them. Do you have a definition in your textbook or notes or something? Bcuz then I'll be able to help you. ~brie:.} ... 
World history
1Which of the following would john locke most favor Republic Oligarchy Theocracy Absolute monarchy 2Whay was james i resistant to working with parliament He believed in the absolute power of kings He did not agree with the policies of the prime minister 3Which statement gives ... 
Math
I can't figure out this question in my math book. What would be a reasonable answer???: Why is it important to measure variability in a data set? I don't understand my homework,is about round numbers,prime factorizations,and large problems and is to harder to me. Then post ... 
Calculus
My teacher wants me to use this formula for half life question C(t) = Ce^kt but i used a different formula plz help. the question is: A radioactive isotope has a half life of 30 years. If we started off with 10 mg of this isotope 12 years ago: a) Find and expression for the ... 
Biology
These are true and false questions and I want to make sure that I got them right. 1. A water molecule is held together by two single polar covalent bonds. False 2. Because oxygen has a greater electronegativity than hydrogen, water molecules are polar with two partial negative... 
Biology
These are true and false questions and I want to make sure that I got them right. 1. A water molecule is held together by two single polar covalent bonds. False 2. Because oxygen has a greater electronegativity than hydrogen, water molecules are polar with two partial negative... 
Algebra
True or false? Negative numbers are closed under addition. Give a counterexample True or false? Prime numbers are closed under subtraction. Give a counterexample True or false? Natural numbers are closed under division. Give a counterexample 
Problem solving
I was watching the street, there were mopeds(2 wheels) bikes(2 wheels), tricycles(3 wheels), taxis(4 wheels) and big trucks(6 wheels). I counted as they went past a total of 60 in 5 minutes. I notice the following about the vehicle. Every second was a taxi. Every odd prime ... 
accounting
i need help working through this! i am stuck. 3. Definitions of manufacturing concepts Interstate Manufacturing produces brass fasteners and incurred the following costs for the year just ended: Materials and supplies used Brass $75,000 Repair parts 16,000 Machine lubricants 9... 
Find the pattern problem solving
I was watching the street, there were mopeds(2 wheels) bikes(2 wheels), tricycles(3 wheels), taxis(4 wheels) and big trucks(6 wheels). I counted as they went past a total of 60 in 5 minutes. I notice the following about the vehicle. Every second was a taxi. Every odd prime ... 
Art
Can you please help me check a few things, Writeacher? Thank you. 1)The two political parties which alternated in government were the Whigs and the Tories. 2) The Whig ministers' meetings developed into the cabinet led by the Prime Minister. 3) It is composed of four books ... 
hi
what is the salary for a doctor who owns his own hospital? My dad is friends with this doctor who's name is Prem Reddy. You can google him. He owns desert valley hospital in victorville and owns the Prime Healthcare, Inc. He met president bush, clinton, arnold S(don't know how... 
finance
The banks offers a rate of 8 1/4 percent with a 20percentcompensating balance requirement, or as an alternative, 9 3/4 percent with additional fees of 5,500 to cover services the bank is providing. In either case the rate on the loan is floating ( changes as the prime interest... 
math
Could someone double check my answers. 1. Write the number in expanded form 684 answer: (6x100)+(8x10)+(4x1) 2.Give the place value for the indicated digit 8 in the number 138,350 answer: thousands 3. Write the following in the standard form of a number Four hundred sixty ... 
British & American Government Question
In comparing the British and American systems of government,which statement is true: A. Britain's government was created by a single document that is very similar to the U.S. Constitution. B. The House of Lords is the most powerful branch of Britain's government. C. There is ... 
check american government
although a democracy is based on freedom of expression, most people recognize the need to allow the government to exercise control over such things as false and misleading advertisements of illegal products, Is the banning of cigarette advertising on television consistent with... 
Precalculus
For this problem I drew a Venn diagram.. Sets A,B and C are subsets of U. U= positive integers less than 16 A= prime numbers B= factors of 36 C= multiples of 4 (A intersect B)' union C {?} My answer: The apostrophe stands for negation! According to my Venn diagram, that means ... 
Accounting
a. IPC purchases real estate in prime locations where an existing theatre chain does not adequately serve the market. After purchasing the real estate, IPC engages a contractor to build a theatre complex. During fiscal 2009, IPC received a $2,000,000 payment from a contractor ... 
English
Hello. I'll be very grateful if you will help me again. Please tell me if the sentences are possible in normal English: 1)Iran remains unshakeable / inflexible / steadfast / unwavering in its position. 2)Iran's position stays / remains the same / unshakeable / inflexible. 3)... 
Foundations of Financial Management
here is the problem The small chemical company needs to borrow $500,000. The bank offers a rate of 8 1/4 percent with a 20 percent compensating balance requirement, or as an alternative, 9 3/4 percent with additional fees of $5,500 to cover services the bank is providing. In ... 
The Equation of Time
The reason for this post is I think I understand it and am seeking reassurance. I am just starting to study celestial navigation and am trying to get to grips with some of the fundamentals. I need to use the Equation of Time of the Sun to establish Longitude. Longitude is time... 
Math 115
Every fraction has a decimal equivalent that either terminates (for example,1/4=0.25 ) or repeats (for example,2/9=0.2 ). Work with a group to discover which fractions have terminating decimals and which have repeating decimals. You may assume that the numerator of each ... 
Math 115
Every fraction has a decimal equivalent that either terminates (for example,1/4=0.25 ) or repeats (for example,2/9=0.2 ). Work with a group to discover which fractions have terminating decimals and which have repeating decimals. You may assume that the numerator of each ... 
Social Studies
Which resource makes up a quarter of Chile's exports? A:Fruit B:Fish C:Copper*** D:Silver Chilean produce is free of many common plant pests because most farming regions are protected by? A:Atacama Desert*** B:Andes Mountains C:Amazon River D:Strait of Magellan Although Chile ... 
Time Zones
Check my work. Calculate the correct time in brackets: 1. 1:00am at 30W = (11:00pm) at 60W 2. 3:00pm at 15W = (1:00pm) at 45W 3. 1:00pm at 120E = (9:00am) at 60E 4. 12:00pm at 15E = (6:00pm) at 105E 5. 11:00am at 15E = (9:00am) at 15W Calculate the correct longitude in ... 
english
Are my solutions right?? 1. "There's someone knocking at the door! Who can it be at this time of night?" "___ Helen. She said she might come round to watch the midnight movie on TV." A: That's going to be; B: That'll be; C: It's due to be. I choose A and B 2."I've just ... 
math
This is a riddle, and I'm supposed to find a 5digit number from it..... My thousand's digit is the first that is perfect, but if you're not happy with that, it's also the product of the first two primes. My units digit is the odd of those two primes, and if you look at it and... 
MATH HELP!!!!!!! :(
This is a riddle, and I'm supposed to find a 5digit number from it..... My thousand's digit is the first that is perfect, but if you're not happy with that, it's also the product of the first two primes. My units digit is the odd of those two primes, and if you look at it and... 
Computer Science JAVA FUNCTIONS
Write a Function You will be given one of the following problems to solve using and writing Python functions. Given a list of words, return an array which indicates the frequency that each letter occurs. For example, in the list [”apple”, ”bob”], [ ’a’ > 1, ’... 
math
List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. ... 
math
List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. ... 
statistic
A business firm considers the number of years of formal education, X, a prime factor in screening applicants for employment in its plant. Assume from past experience that X ~ N (10.6, 2.5), where 10.6 is the mean and 2.5 is the standard deviation. (a) If an applicant falls ... 
computer science
Hey I have three questions with creating these methods, thanks. Write a Function You will be given one of the following problems to solve using and writing Java functions. 1. Given a list of words, return an array which indicates the frequency that each letter occurs. For ... 
English
I have selected the five questions I was unsure of. 1) In 1945 the Labour Party came to power and introduced the welfare state, a system of social services organized and paid for by the government. 2) The National Insurance Scheme was set up in 1946 to give financial help to ... 
World History
How did Simón Bolívar impact the creation of Gran Colombia? The countries of Curaçao, Trinidad, Tobago, Antigua, and Tortola united to form Gran Colombia, in which Simón Bolívar served as prime minister. The countries of Venezuela, Colombia, Panama, and Ecuador united to ... 
Plz help me..just one MATH question
The number 1 is both the square of an integer and the cube of an integer. What is the next larger interger which is both a square and a cube of a positve integer. plz help, the only number i can think of was 0 but its smaller than one. what is the erroron the verdfind it and ... 
algebra 2
Factor completely with respect to the integers. 1. 9x^2  4 2. x^3 + 64 3. 200x^2  50 4. 8x^3  64 5. x^3 + x^2 + x + 1 6. x^3  2x^2 + 4x  8 7. 2x^3 + 4x^2 + 4x + 8 8. 2x^3 + 3x^2 32x  48 9. 7x^3 + 14x^2 + 7x 10. 6x^3  18x^2  2x +6 11. 3x^4  300x^2 12. x^4 + 12x^3 + 4x... 
math
Relative humidities (represented by RH below) of less than 51% cause problems in growing crops. The Saskatoon region is a prime wheatgrowing area. The mean RH in Saskatoon is 59% in July, with a standard deviation of 8%. The RH for the days in July forms a normal distribution... 
Chemistry
Draw the structure of the product formed by the reaction between methyl alcohol and formic acid and give the molecular formula? I did not understand the answer that you gave me it did not make sense to me and I couldn't find it to respond back im sorry. If you wouldnt mind can... 
English
Can you please check these sentences on Jonathan Swift's life? Thank you, Writeacher. 1) Swift was born in Ireland of English parents. He was also educated there and he became a priest. 2) He left Dublin for England in 1689 to reside (stay at?) at the household of William ... 
Calculus
Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can you retype your ... 
English
Writeacher,could you please check if everything is Ok. Thank you very much for your invaluable help! 1) Swift was born in Ireland of English parents. He was also educated there and he became a priest. 2) He left Dublin for England in 1689 to reside (stay at?) at the household ... 
computer science
Hey I have three questions with creating these methods can any of you guys write an example code for this? Thanks Write a Function You will be given one of the following problems to solve using and writing Java functions. 1. Given a list of words, return an array which ... 
children who require special treatment
most professionals agree that much of the major emotional business of the child iscompleted by the age of? a.two b.three c.five d.ten my answer is c a prime example of a preventable handicap is? a.epilepsy b.spina bifida c.phenylketonuria d.mongolism my answer is c persons ... 
socials
what the purpose of the charlottetown accord? this the passage prime minister mulroney believed he had to continue with the constitution debate. Anxious to avoid previous mistakes, his government appointed a special "Citizen's Forum"a committe that travelled across the nation... 
making dot arrays
I have a question on math homework that asks : What do we call the numbers that cannot be arranged into 2row arrays? Ginner: I looked up contemporary numbers in several math dictionaries, and none of them listed that term. I looked at her paper  there is a line above that ... 
programming language
can enyone help me figure this out... Surface to Volume Ratio Write a program to compute surface to volume ratio. We will be given the height, width, and depth of N cuboid, and determine the smallest surface to volume ratio among them. Input The first line of the input data ... 
Math
7.Figure out the expression bellow (7+3)x25 A.8 B.15 C.22 D.30 B 8.When Henry went to the pet store he noticed that there were 12 large fish tanks with goldfish.The store clerk told him that there were 107 goldfish in each tank.How many goldfish were there in all? A.1200 B.... 
socials
Sue this mohammad’s sister, his computer not working. He need help with his work today. Imagine urself as the prime minister or minister of finance, what would you do about the debt the Canadian government carrying. Need thesis statement, evidence, and conclusion.He not know... 
Algebra
I have a few more questions that I either need help with or just need checking. Is the algebraic expression a polynomial? if it is write the polynomial in standard form, 1. 6x9+8x^2 I got Yes; 8x^2+6x9 Perform the indicated operations. Write the resulting polynomial in ... 
social studies
Asha lives in a nation that has a legislature and a prime minister. Citizens in her country vote in elections to elect their legislative representatives. Then parliament appoints the prime minister. 1: Does Asha's nation have a limited or an unlimited government?  Limited, ... 
math
List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. ... 
Math
1. The sides of triangle CAB are in the ratio of 2:3:4. Segment BD is the angle bisector drawn to the shortest side, dividing it into segments AD and DC. What is the length, in inches, of the longer subsegment of side AC if the length of side AC is 10 inches? Express your ... 
Obese Heroes....
Who are some obese people who have had a positive impact on society and been good role models? Good role models for what, the American Heart Association? This is an odd question. Obesity is a serious condition, becoming very shortly the number 1 preventable Health Concern (... 
Economics
1. You read the following information about the economy: Real GDP up three percent from a year ago. Unemployment rate of 6.1 percent. Consumer Price Index up six percent from a year ago. Index of Leading Indicators up for the last six months. Prime interest rate of ten percent... 
collegeIntermediate Microeconomics
The Lump Sum Principle In the 1980s Margaret Thatcher was the British Prime Minister. She was very popular and eective until she pushed for the idea of a so called lumpsum tax. The lumpsum tax is one in which every citizen pays a single xed payment. Consider the scenario, ... 
Foreign languages
I left out a few sentences. Thank you veru much. I need to make sentence 5 shorter. 1) In 1766 William Pitt the Elder was elected Prime Minister and he made England a strong and flourishing commercial country. 2) During the 18th century the middle class gained more and more ...