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# Basic Algebra

### Impact of the Compounding Frequency on the Growth of Investments

Provided below is a formula that I already understand, to include finding the answer. P=A(1/(1+r)^n ) = P=(5000)(1/(1+0.08)^12 )≌1985.60 The equation and variables below is similar to the above equation, However, the A is on the sum side. Can someone show me the steps in this process. If the amount invested and th

### The Slope of the Line: Parallel and Perpendicular

As I have learned about parallel and perpendicular slopes, the slope is m=rise/run. Completely understand the perpendicular with a 90 degree offset. Can someone explain, why the rise/run is the same anywhere on the straight line? Is there a mathematical argument for this? If so/not then can someone explain? Any explanation is g

### Simple equation

Formulas Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: • Read about Cowling's Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the

### Polynomial Factorization

Can someone explain why the first two answers are the same? Can a person do the foil to get them equal? Can we also try: (a^3 - b^3)=(a-b)(a^2+ab+b^2) (a^4-b^4)= (a-b)(a^3 + a^2b + ab^2 +b^3) Can we find a^n - b^n = (a-b)(...)?

### Scientific Notation Concept

A computer can do one calculation in 1.4 x 10exponent -7. how long would it take the computer to do a trillion 10exponent 12 calculations round to one decimal place. Give the answer in scientific notation.

### APR calculation

Eduardo has a balance of \$3,265.96 on his credit card with an APR of 12.6%. His credit card requires a minimum monthly payment of 2% of the balance. If he transfers his balance to a credit card with an APR of 8.5% how of his first payment would be interest and how much would be applied to the principal?

### Basic Algebra - Quadratic Equations

For 1-3 solve the equation using the square root property 1. (m+1)^2 = -1 2. (p-1)^2 = 12 3. (t+5)^2 = -18 For 4 & 5, find the value of n such that the expression is a perfect square trinomial, then factor it. 4. X^2 -9X+n 5. Z^2 -2/5z +n For 6-8, solve the equation by completing the square and applying the square root

### Explain the difference between a function and a relation

Explain the difference between a function and a relation. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.

### Solving the proportion in a real example

Can someone please assist me with the attached and "setting up the proportions" as I am totally clueless at how to do this. So, what would the world be like if I was only one foot tall? "Proportion Setup" Please show me how to set-up and solve for these.

### Damped Driven Harmonic Oscillator in a Steady State

In the limit as t goes to infinity the solution approaches x(t)=Ksin[ω(t-t0)] where K and t0 depend on ω (note: t0 = t subscript 0) I am attempting to show that K(ω) = 1/(ω^4-ω^2+1)^1/2 and failing My thoughts: I believe that at t=0. The only important part of the general solution to the original equation is the expo

### Method of Undermined coefficients

I am working on the differential equation (dx^2)/(dt^2) + dx/dt + x =sin (ωt) I have found the general solution of m^2+m+1=0 which is x=e^(-1/2)t(Acos((sqrt3)/2)t+Bsin((sqrt3)/2)t I am looking for a particular integral that satisfies the differential equation so as to obtain the general solution I am finding great difficul

### Algebra: a Simple Interest Account

Gina wants to invest a total of \$30000 into two savings accounts, one paying 6% per year and the other paying 9% per year (more riskier) in interest. After 1 year she wants a total interest to be \$2100. how much should she invest in both?

### solving inequality and equation

a. Solve 0 < x + 5 less than or equal to 8 for x. Express your answer using a line graph and in interval notation. b. (5/3x-7) less than or equal to 2. c. Solve for x: | x - 1 | = 3 d. Sketch the graph of the function y = | x - 1 | and use your graph to indicate your solution of part c

### Analyzing the given pattern

The winner of a school election is announced after school at 4:00 p.m. one student call 2 friends before 4:15 p.m., telling the name of the winner. Before 4:30 p.m., those 2 people call 2 more students and tells them the name of the winner. Before 4:45 p.m. each new student who has been notified call 2 more people telling them n

### Finding the x- and y-intercepts of a linear equation

Find the x- and y-intercept of the linear equation 4x + 3y = 12. Write each intercept as an ordered pair. In the Cartesian or Rectangular coordinate system, which is the horizontal axis and which is the vertical axis? Explain what is meant by x- and y- intercept.

### Rate of Change, Linear Models, Cost and Profit Function, Conversions and Calculations

Problem #1 The starting salaries for teachers in Broward County for selected years are given in the table. Use this information to answer the questions below. Show work for all calculations and give clear concise explanations to all questions. School Year Starting Salary 1995 2000 2005 *2014 *Projected

### Linear Algebra and Solving Systems of Linear Equations.

1. Given the equation y+5 = -2(x-3). find the slope and a point on the line 2. Determine the equation of the line, in slope- intercept form that is parallel to 5x+4y = -3 and contains (-8,9) 3. Find the equation of the line through the point (-2,6) and perpendicular to y= (3/5)x -2 4. Use the graphing method to find

### Comparing two parking garage plans

A downtown employee is looking for the best option for parking a car during an 8-hour workday. One parking garage offers unlimited parking at a \$120 per month. Another garage offers an hourly rate of \$2.50 for parking. Draw a graph comparing the two parking plans. Under what circumstances would the monthly plan be cheaper? Unde

### The solution gives detailed steps on finding optimal solution using a real exampe. All are answered in excel.

FULLY complete both parts B and C. - Also use sentence form. - All info is in the Documents, complete all that is asked by showing work- i need to know how you came up with the answers you did. - label and define parts in needed.

### The solution gives detailed steps on prepare the journal entry to record the issuance of the bonds.

Palmiero Co. is building a new hockey arena at a cost of \$2,000,000. It received a down payment of \$500,000 from local businesses to support the project, and now needs to borrow \$1,500,000 to complete the project. It therefore decides to issue \$1,500,000 of 10.5%, 10-year bonds. These bonds were issued on January 1, 2009, and

A step-by-step procedure is given for applying the quadratic formula to solve for x. The quadratic formula considered is as follows: x^2-x-6=0. In this example, the quadratic formula is presented accompanied by an explanation of the meaning for each term. The process is shown for assigning values to each element in the quadrat

### Word problem: Mixing Donuts

A donut shop sells two kinds of donuts. Gourmet donuts sell for \$4.15/dozen and regular donuts sell for \$3.30/dozen. How many dozen of gourmet donuts must be mixed with 6 dozen of regular donuts to get a mixture that cost \$3.90/dozen. I would need to round the answer to the tenths place since I couldn't buy a partial dozen. Pl

### Calculate the Distance of an Object

An object is close to a light source - say at a distance of x meters. Another object B is at a distance of 2.3 times x meters from the same light source or in equation from distance to B from the light source = 2.3 (x meters). Question is how many times closer to the light source is object A compared to object B? Now, I know

### Jacque Rousseau's Origins of Inequality

According to Jean Jacque Rousseau what are the origins of inequality? Kindly help outlining the main parts that could answer this question.

### Polynomial Functions and Intermediate Value Theorem

1. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. F(x)=x^5-x^4+7x^3-8x^2-16x+13; [1.3,1.7] Find value of f (1.3) ____ (simplify) Find value of f (1.7) ______ (simplify) 2. Information is given about the polynomial f(x) whose coefficients a

### Solving Inequality and Finding Zeros of Polynomials

1. Solve the inequality algebraically 5x-3≥-2x2 The solution set is ____(interval notation) 2. Solve the following inequality 60x-64<60/x 3. List the potential rational zeros of the polynomial function. Do not attempt to find zeros. F(x)=11x^4-7x^3+x^2-x+1 4. Solve the equation in the real number system.

### Polynomial functions, complex zeros

1. Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i; -7+i Enter the polynomial f(x)=a(____) type expression using x as the variable. 2. Find a bound on the real zeros of the polynomial function. F(x)=x^4+x^3-4x-6 Every real zero of f lies between -____and ____ (its not

### Assorted Algebra - Inequalities, Remainders, Signs etc.

Please find my algebra questions in the file attached. They are mostly on inequalities, remainder theorem and Descartes' rule of signs among other topics.

### Various Set Applications And Ranking Matrix

b) Let X = {1, 2, 3} and Y = {-1, -2, -3}. Define the new set X o Y = {z: z = xy for x is an element of X and y is an element of Y}. This new set X o Y is obtained by taking products of pairs of element one from X and the other from Y. Is Y a subset of X o Y? If yes, tell me why -1 is an element of X o y, -2 is an element of X o

### algebra: intercepts and parallel lines

1. Using the given equation a) find the intercepts of its graph and b)use the intercepts to graph the equation 2x+5y=10 2. Find an equation for the line w/given properties Parallel to the line 5x-y=-10; containing the point (0,0) y=___ 3. Find the equation of a line that is perpendicular to the line y=1/9x+9 and cont