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    Basic Algebra

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    Interest bearing note

    On April 1, Nolton Company borrows $80,000 from West Bank by signing a 6-month, 6% interest bearing note. Instructions Prepare the necessary entries below associated with the note payable on the books of Nolton Company. (a) Prepare the necessary entry on April 1 when the note was issued. (b) Prepare any adjusting entries n

    Inequalities, domain and Intersections of Lines

    #1 The largest possible domain of the function f(x) = sqrt{[x-1]/[x+2]} is the set (A) all x except x=-2 (B) x < -2 or x greater or = 1 (C) none of the above. #2 The solution of the inequality (x-3)(x^2-3x+2) > 0 is (A) 1 < x < 2 and x > 3 (B) x > 3 (C) none of the above. #3 In the triangle whose sides are 3 , 4 , and

    Transcendence basis proof

    Suppose that L has transcendence degree n over K and that L is algebraic over K(&#945;1, . . . , &#945;n). Show that &#945;1, . . . , &#945;n is a transcendence basis for L over K. Might help: Theorem - Definition: Let L be an extension of K, A a subset of L. The following are equivalent: (1) A is a maximal algebraically

    Algebraic closure

    Show that the algebraic closure of Q (rational numbers) in C (complex numbers) (and hence any algebraic closure of Q, once we have the uniqueness statement) is countable.

    Inequalities and Change of Direction of Inequality Sign

    Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality for your classmates to solve. In your inequality, use both the multiplication and addition properties of inequalities.?

    Population Growth

    Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2012. Solve the prob

    Prime Factorization and Greatest Common Factor ( GCF )

    The table below contains ten questions. Please read through the set of possible answers and determine the best answer to each question. In the yellow answer column of the quiz, type the letter (A, B, C, D, or E) that corresponds to the answer you've chosen. Each question has only one answer. Place only one letter into each ans

    Find the pH of a substance

    Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of the

    Parabolas, Graphing, Translation and Asymptotes...

    1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? Write your answe

    Shortest Path Assessment

    Please see attached for details. You can use either A* or Floyd-Warshall algorithm to accomplish this. One way that I think might work is to divide the path into 3 sections. Finding the shortest path from node 16 to 3 then from 3 to 11 and then from 11 to 16. We also need to find the shortest path from 16 to 11 then from 11 to 3

    Inequalities : When do you flip the inequality sign?

    1.The inequality sign changes when both sides are multiplied by a negative number. This happens because it needs to read true. If you do not flip the sign it will not be a true inequality. However, if you multiply by a positive number you do not need to change the inequality sign. You do not change the sign in regular equations.

    An oil drum has a diameter of 0.85m and a length of 1.5m. ...

    An oil drum has a diameter of 0.85m and a length of 1.5m. A) What volume of oil can be contained in the drum? B) What is the area of sheet metal used in the drum if it has an open top? ii) The shape of the cross-sectional area of an extrusion is a sector of a circle subtending an angle of 50 degrees. The circle radius is 25mm. W

    Algebra Operations with Polynomials

    1. For each polynomial listed below, determine i the degree of the polynomial ii the coefficient of the leading term iii the constant term a. P(x) = x + 1 b. Q(x) = 3x + 2 c. R(x) = x2 + 2x + 1 d. W(x) = 4x2 + x + 3 e. Z(x) = 3x3 + 2x2 + x

    Algebra: Applications of Inequalities

    1. Solve using the addition and multiplication principles. 2.4+17.8> 44.5 - 6.5x The solution set{x|x> }. 2. Translate to an inequality. A number is at least 13 The is _ _ _ (use x as the variable.) 3. Translate to an inequality. Use the variable x. The number of people in the chess club is less t

    The concentration of a certain drug in a patients body

    The concentration(in milligrams per cubic centimeter) of a certain drug in a patients body t hours after injection is given by C(t)= t^2/3t^3+1, 0 greater than t or greater than 5.(0<T) When is the concentration of the drug increasing and when is it decreasing?

    Graph the Functions and Show the Points of Intersection

    For the equation, perform the following: a) Solve for all values of x that satisfies the equation. b) Graph the functions y = x and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs. (Please see the attached file for fully formatted problems).

    Quadratic equation (Please see attached file)

    Please see attached file. Name: 1)Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, l

    Simplifying an Equation

    Perform each operation and simplify: 6a^2-7a-3/a^2-1 divided by 4a^2-12a+9/a^2-1*2a^2-a-3/3a^2-2a-1

    Algebra Word Problems: Who Wins the Race

    Florence and Larry race on a windy day: 100 yards with the wind, they instantly turn around, and race 100 yards back against the wind. Larry is unaffected by the wind, but Florence only goes 90% as fast running against the wind as when running with no wind. Running with the wind improves Florence's no-wind speed by 10%. On a day

    Challenged the tortoise again on bicycle races

    Years after the famous foot race, the hare challenged the tortoise again on bicycles. The hare was able to pedal at a rate of 15 mph. while the tortoise could pedal only 12 mph. Knowing he was slower, the tortoise makes up a lame excuse for being given a 27 mi. head start in the 165 mi. race. 1. WHo won the tortoise and hard

    Perfect Square Trinomials

    Please answer these questions: 1. Is the following trinomial a perfect square? xsquared - 2x + 1. 2. Is the following trinomial a perfect square? xsquared + 2x -1. 3. Find the constant term that should be added to make the following expression a perfect squared trinomial x squared + 3x. 4. Solve by completing the squa

    Effective Rate for Interest: Bank Loan

    Carey Company is borrowing $200,000 for one year at 12 percent from Second Intrastate Bank. The bank requires a 20 percent compensating balance. What is the effective rate for interest? What would the effective rate be if Carey were required to make 12 equal monthly payments to retire the loan? (Amount borrowed - Compensating ba

    Mathematics - Algebra: Word Problem

    An efficiency study conducted for the Cassiopeia cabbage Company showed that the number of cases of cabbage packed by the average worker t hours after starting work at 8a.m. is given by -t^3+4t^2+12t, 0 or greater than t or greater than 4. (0<T At what time during the morning shift is the average worker at peak efficiency?

    A property management company manages 200 apartments renting for ...

    A property management company manages 200 apartments renting for $800.00 each with all the apartments rented. For each $10.00 pre month increase in rent there will be 2 vacancies with no possibility of filling them. what rent per apartment will maximize the total monthly revenue?

    Determining Distance: Motorcycle Break Down Example

    A motorcycle breaks down and the rider has to walk the rest of the way to work. The motorcycle was being driven at 45 mph and the rider walks at a speed of 6 mph. The distance from home to work is 25 miles and the total time for the trip was 2 hours. How far did the motorcycle go before it broke down?