Mathematics

Course: College Algebra You will need to complete 15 math problems that I will send to you ONE HOUR BEFORE the due date. Solve each problem on paper (NEATLY AND LEGIBLY) and submit a picture of it once completed. YOU MUST SHOW ALL OF YOUR WORK for each problem. You will only have ONE HOUR to complete the assignment. You will not be able to see any of the questions earlier than 1:00 PM and everything must be answered correctly by 2:00 PM at the latest. The questions will NOT be on chegg, quizlet, or any other site. ******ALL answers MUST be 100% CORRECT. Please DO NOT bid unless you have a clear understanding of the following topics and can complete the assignment in 1 hour or less****** The following topics will be on the assignment: Chapter 5 Systems of linear equations Section 5.1: Systems of Linear Equations: Section 5.2: Matrix solutions to systems Section 5.3: Determinant Solution of Linear Systems Section 5.4: Partial Fractions Section 5.5 Nonlinear Systems of equations Section 5.6 Systems of inequalities Section 5.7 Matrices and Matrix Operations Chapter 6 Analytic Geometry Section 6.1 Parabolas Section 6.2 Ellipses Section 6.3 Hyperbola KEEP IN MIND: – Write LEGIBLY – Show ALL of your work – 15 questions – 1 HOUR MAX – CORRECT ANSWERS ONLY

Calculating Confidence Intervals The purpose of this assignment is to practice calculating confidence intervals. For this assignment, students will utilize Excel and SPSS Statistics and the “Example Dataset.” Using the “Example Dataset,” complete the following: Based on a normal distribution curve, calculate the probability of an individual being 60 years or older in this population. Show the Excel and SPSS formulas or your hand calculations. Include screenshots as needed to illustrate this. Using the sample standard deviation of age as an estimate of the population standard deviation, calculate by hand the standard error of the mean. Show your calculations and the answer. Calculate by hand a 95% confidence interval for “Age” based on the sample mean. Use SPSS to verify your answer. Include your calculations and screenshots of the SPSS output. Interpret the confidence interval for age and explain the three pieces of information needed to calculate a confidence interval. Submit one Word document that includes all of the assignment deliverables. APA style is not required, but solid academic writing is expected.

Note: The assessments in this course build upon each other, so you are strongly encouraged to complete them in sequence. Download and save the Assessment 2: Central Tendency and Probability [DOCX] worksheet. Complete the worksheet, and submit it for your assessment. Competencies Measured By successfully completing this assessment, you will demonstrate your proficiency in the following course competencies and assessment criteria: Competency 1: Apply appropriate notation, terminology, procedures, and concepts to statistics problems. Describe a distribution. Calculate measures of variability in Excel from a group of raw scores. Calculate measures of variability in SPSS from a group of raw scores. Solve problems with information about normal distributions and probabilities. Calculate z scores using SPSS. Competency 2: Form logical conclusions about real-world problems through descriptive and inferential statistical procedures. Interpret means and standard deviation in a chart. Complete problems that apply principles and procedures related to central tendency, variability, and probability. Note: The assessments in this course build upon each other, so you are strongly encouraged to complete them in sequence. This assessment focuses on measuring central tendency, especially the characteristics and calculating the mean, median, and mode. It will also help you practice your skills in variability, which is measured by range and standard deviation. The assessment also focuses on probability, which is the likeliness of a specific instance occurring.

For this assignment, you will analyze three questions that have been solved by a student. Each example has one error in the solutions. Copy and paste the questions into the discussion board and write a note to the student of what the error is for each example. When correcting each student, be specific as to what was wrong for each case. Example 1: Complete the first month’s charges and find the balance for Month 2. The APR is 15.99% with a minimum payment of 5%. The carry-over balance is $500. Student Answer: Month Carry-Over Balance Finance Charge New Balance Minimum Payment 1 $500 $6.66 $506.66 $25.33 2 $474.67 XXXXXXXX XXXXXXX XXXXXXXXX Example 2: What exact excel formula is needed to find the monthly payment for a house that costs $90,000? The APR is 4.5% for a 30-year loan. Student Answer: =PMT(4.5/12,30*12,-90000) Example 3: Using Excel, what formula is needed to find the total loan amount for a new car? You can spend $180 each month on payments and the loan rate is 5.72% for 4 years. Student Answer: =PV(.0572/12,4/12,-180) **MUST PLEASE USE EXCEL FOR ASSIGNMENT**

Normal distributions can be used for many purposes. One purpose might be to determine warranty times on a new game system. Consider if game systems normally last for 36 months before a failure of some sort with a standard deviation of 5 months. If we wanted to have a warranty that paid off on only 5% of the machines (in other words where 95% of them will work) then we could use: =NORMINV(0.95,36,5) which would give 44.22 months. This means that we should set our warranty period at 44 months to make sure that we only have to pay off on 5% of the machines. We obviously want to keep our customers happy and fix their system if it fails after a few months. Come up with at least TWO examples for normal distributions (similar to the above) with numbers and the formula (Google Sheets or Excel) that you used.

This is just a homework assignment I am needing the answers to Question 1 Find the correct excel formula to find the total in a savings account: Monthly Amount = $1800 Interest Rate = 0.15% Years in Account = 25 Group of answer choices =FV(0.0015/12,25*12,-1800) =FV(0.15/12,25*12,-1800) =FV(0.0015,300,-1800) =FV(0.15/12,300,-1800) =FV(.0015/12,25*12,1800) Question 2 An employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $220, how much should be in the account after 15 years? The interest rate is fixed at 2.05%. Question 3 Find the total in the account with the following facts: Monthly contributions = $180 Employer matching = 25% Interest rate = 4.99% Years invested = 38 Question 4 John makes $2,800 per month and has an opportunity to invest $150 per month at an APR of 4.5% in a 401K plan through work. He plans to retire in 30 years. Type in the EXACT formula you would use in excel (no spaces) to find the amount in the account after he has invested for 30 years. Using excel, what is the answer to the formula from the previous part? How much money will he deposit into the 401K over the 30 years? How much total interest will he earn on his 401K over the 30 years? Question 5 You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%. Find the total amount that the employer contributes each month. What amount will you have after 35 years? How much money have you deposited into the account yourself? How much more money is in the account than what you have deposited? Question 6 Consider this scenario: In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn’t change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out. How much money should be in the account using the FV formula? If your family put the $105 each month instead of just the $100, how much extra would be in the account compared to the total value from the first part? If you were to invest $200 each month, what would your savings account have in 2016? Question 7 How much interest did you gain if you invested in a retirement plan with a rate of 2.5% over 42 years? Your monthly deposits totaled $520.

1-The revenue from the sale of a product is, in dollars, R = 1500x + 3000(4x + 3)?1 ? 1000 where x is the number of units sold. Find the marginal revenue when 200 units are sold. (Round your answer to two decimal places.) $ Interpret your result. If the sales go from 200 units sold to units sold, the revenue will increase by about $ .

As we jump into the world of Algebra, it is important to discuss how math, specifically Algebra, is used in the real-world. Search for videos from Ted Ed showing the real-world value of mathematics. Choose a video to watch and then provide a one-paragraph summary (3-4 sentences) of the video in your own words. Be sure to discuss the math concept used. APA format for in-text citations and list of references please make sure you use APA format and please no spelling or grammar mistakes

Please double-check all work and proofread every answer. Thank you very much. Also: For problem 1, the denominator is supposed to be: 4^n +cos^2(n) In addition, for problem 1, the professor says to apply this: “Since you are squaring the cosine and sine terms they will always be positive so what is there max/min value? Can you come up with a series that compares to the one in the problem that you can directly compare?”

Please search websites, find at least one application of Linear Programming and post your findings and comments along with the respective web link (s) to this discussion forum in Module 5.  There is no need to make comments on other students’ postings.