Mathematics

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

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.

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 $ .

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.

Please help me with this:Grade A sugar costs 75 sh per kg and grade B sugar costs sh 50 per kg. Angela mixed the two grades and sold the mixture at sh 72 per kg. In so doing she made a profit of 20%. In what ratio did she mix them?

(a) (9 points) Solve the initial value problem y00 + 16y = ?(t?1) y(0) = 0, y0(0) = 0 where ?(t?1) is the Dirac delta function at t0 = 1. (b) (3 points) Let yk(t) denote your solution from part (a) and let ˆ y(t) denote your solution from part (a). Show that when t = 2lim k?+?yk(2) = ˆ y(2)Just answer question B and C is ok

Imagine that a friend is starting college and wondering whether to take calculus. The friend asks you “What does calculus have to do with the real world?” Answer the question and cite all sources that you use, including the textbook.

whats the method of factoring polynomials of index 5 with some examples