Category: Algebra

The Magic Gopher Problem
Go to the link below.
Follow the steps.
Identify the pattern
Show why this works using Algebra
The Magic Gopher ProblemLinks to an external site. requires Adobe Flash Player to be enabled. 
https://learnenglishteens.britishcouncil.org/unpublished-page

Solve    ♧ ♢ – ♡ = ♤    for ♢
Please post your ideas about this problem to your Group Discussion Board.  Once you post your response, you will be able to see the posts of others.  You will then reply to your classmates’ responses.
Initial Post:
Please post your ideas about this problem to this Group Discussion.  Once you post your response, you will be able to see the posts of others. 
Peer Replies: 
After you post, then reply to your classmates’ responses.

Description:
Follow the instructions in the Chapter 4 Homework.pptx 
Review the Problem Presentations Directions.pptx 
You will be assigned to your small group discussion, where you can see if you have been assigned to be Student A, B, C or D.
Prepare your presentations for those problems using Screencast-o-maticLinks to an external site.. Screencast-o-matic allows a maximum of 15 minutes to present.
Post the link to your presentation(s) to the Chapter 1 Problem Presentations discussion board. 
This learning task is due Thursday by 11:59 PM, peer replies are due by Saturday by 11:59 PM.
Instructions: 
One of the final slides of each Chapter presentation PPT, is a slide that contains the homework problems from each section.  Certain problems have been colored and highlighted. This identifies which problems are presented on and by whom.
When doing the problem presentations, thoroughly explain your thinking. Act is if those watching are not in this course; explain all steps and explain your thinking throughout the problem.

ANSWER ALL 5 QUESTIONS
1. Throughout this exercise set, assume all divisors represent nonzero numbers. 
Divide.
ANSWER 17- SEE ATTACHMENT BELOW
2.Divide using long division.
ANSWER 37- SEE ATTACHMENT BELOW
3. Divide using long division.
ANSWER 41- SEE ATTACHMENT BELOW
4.Use synthetic division to divide.
ANSWER 61- SEE ATTACHMENT BELOW
5.Use the Remainder Theorem and synthetic division to evaluate each polynomial function at the indicated values.
ANSWER 87- SEE ATTACHMENT BELOW

answer all 4 problems 
1. Solve each inequality and graph the solution on the number line.
-ANSWER NUMBER 21 – SEE ATTACHMENT BELOW
2. Solve each inequality and give the solution in interval notation.
– ANSWER NUMBER 29 – SEE ATTACHMENT BELOW
3. Solve each inequality and give the solution in interval notation.
-ANSWER NUMBER 37- SEE ATTACHMENT BELOW
4.Solve each inequality and indicate the solution set.
-ANSWER NUMBER 51- SEE ATTACHMENT BELOW

El álgebra es una rama de las matemáticas que estudia las estructuras, las relaciones y las cantidades. Utiliza letras y símbolos para representar variables y cantidades desconocidas, permitiendo así resolver ecuaciones y expresar generalizaciones sobre patrones numéricos y relaciones entre números. El álgebra abarca conceptos fundamentales como ecuaciones.
El álgebra es una parte fundamental de las matemáticas que se centra en el estudio de las estructuras algebraicas, que son conjuntos provistos de operaciones que satisfacen ciertas reglas. Aquí hay algunos aspectos clave y conceptos importantes relacionados con el álgebra: 1. **Expresiones algebraicas**: Son combinaciones de números, letras (llamadas variables) y operadores matemáticos como suma, resta, multiplicación y división. Ejemplos simples incluyen ( 3x + 5 ) o ( 2a^2 – 3ab + b^2 ). 2.

What is one thing that you found interesting about future value and present value for compound interest? Has this chapter changed how you thought about investing and saving?
Respond to at least two of your classmate’s posting.
150 words

Policia moderna, societas, et futurus convergent, auxilia technology et scientia.”
In this phrase, we’re discussing the convergence of modern policing, society, and the future, and how they’re aided by technology and science.
– “Policia moderna” refers to modern policing, which encompasses the latest strategies, tactics, and tools used by law enforcement agencies to maintain social order and combat crime.
– “Societas” represents society, which includes the communities, cultures, and individuals that police agencies serve and interact with.
– “Futurus” denotes the future, which is shaped by the evolving relationships between policing, society, and technology.
– “Auxilia” means “aided by” or “assisted by,” highlighting the supportive roles of technology and science in modern policing.
– “Technology” (technologia) encompasses the various tools, systems, and platforms used in policing, such as forensic analysis, surveillance systems, and communication networks.
– “Scientia” represents science, which includes the application of scientific methods, research, and expertise to improve policing practices and address complex social issues.

You are a financial advisor helping a client plan for retirement. Your client has a certain amount of money to invest in two different types of investment products: bonds and stocks. The bonds yield a fixed annual return of 4% interest, while the stocks yield a variable annual return of 8% interest. Your client wants to invest a total of $50,000.
Setting up Equations for Investments (15 points):
Define two variables to represent the amount invested in bonds and stocks, respectively.
Write a system of linear equations to represent the total amount invested and the total annual interest earned from both types of investments.
Use the given information to set up the equations.
Solving the System of Equations (20 points):
Solve the system of linear equations using an appropriate method (substitution, elimination, or matrices).
Determine the amount invested in bonds and stocks to maximize the total annual interest earned.
Optimizing the Investment (15 points):
Calculate the total annual interest earned when the investment is optimized.
Discuss the significance of optimizing the investment in terms of maximizing returns for retirement planning.
Linear Programming (25 points):
Formulate a linear programming problem to maximize the total annual interest earned subject to the constraint that the total investment does not exceed $50,000.
Use graphical or algebraic methods to find the optimal solution.
Interpret the solution in the context of the problem.
Reflection (10 points):
Write a reflection on the process of solving the financial planning problem.
Discuss the relevance of systems of linear equations and linear programming in financial decision-making.
Reflect on how this assignment has enhanced your understanding of mathematics in finance.
Submission Guidelines:
Present your solutions in a well-organized format.
Clearly label each step of your calculations.
Submit your assignment as a PDF document, including any necessary graphs or diagrams.

Hello! Please let me know if you have any questions. Attached are the questions on the first page. There is no other necessary materials before starting. Please make sure to have clear handwriting. Make sure the number nine does not look like the letter g. Make sure the variable x looks like an x and not some other type of symbol. Overall, please have neat and legible handwriting. Please only use the indicated methods asked for in the directions. If you have any questions please message me. I will be happy to clear anything up. Their are example problems in the PDF as well, the pages attached have titles at the top to what question they refer to. Again, please feel free to contact me with any questions. MUST complete the problems using the specific method asked. Please refer to other example questions for more guidance, and please solve them the exact way mentioned and showed in the examples.