Each step of the problem should be written/type:1.) As part of your retirement planning, you purchase an annuity that pays 3.75% annual interest compounded quarterlyIf you make quarterly payments of $500 how much will you have saved in 5 years?Instead, if you make quarterly payments of $250, how much will you have saved in 10 years2.) You plan to purchase a house for $430,000 and you will make a 20% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.975 and a 15-year fixed mortgage at 2.35%. Your goal is to have a monthly payment that fits within your budget. Which mortgage will give you the lowest monthly payment? What will that payment be? How much less will this be than the other monthly payment?) As part of your retirement planning, you purchase an annuity that pays 3.75% annual interest compounded quarterly3.) In 2017 the state university's men's basketball team finished the season ranked 43 out of 143 men's teams. The women's basketball team finished 20th out of 50 women's teams. Which team had a better percentile ranking?4.) A city council consists of ten members. Four are democrats and six are Republicans (100 percent are not for the people). A committee of five to study transportation issues will be randomly selected. a. If one person on the counil is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat? b. How many ways can the committee be formed if there are no restrictions on composition? c. How many ways can 3 Republicans be chosen? d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?

Assignment InstructionsA marketing company based out of New York City is doing well and is looking to expand internationally. The CEO and VP of Operations decide to enlist the help of a consulting firm that you work for, to help collect data and analyze market trends. You work for Mercer Human Resources. The Mercer Human Resource Consulting website (www.mercer.com) lists prices of certain items in selected cities around the world. They also report an overall cost-of-living index for each city compared to the costs of hundreds of items in New York City (NYC). For example, London at 88.33 is 11.67% less expensive than NYC.More specifically, if you choose to explore the website further you will find a lot of fun and interesting data. You can explore the website more on your own after the course concludes.https://mobilityexchange.mercer.com/Insights/cost-of-living-rankings#rankingsIn the Excel document, you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index, cost of a 3-bedroom apartment (per month), price of monthly transportation pass, price of a mid-range bottle of wine, price of a loaf of bread (1 lb.), the price of a gallon of milk and price for a 12 oz. cup of black coffee. All prices are in U.S. dollars.You use this information to run a Multiple Linear Regression to predict Cost of living, along with calculating various descriptive statistics. This is given in the Excel output (that is, the MLR has already been calculated. Your task is to interpret the data). Based on this information, in which city should you open a second office in? You must justify your answer. If you want to recommend 2 or 3 different cities and rank them based on the data and your findings, this is fine as well. This should be ¾ to 1 page, no more than 1 single-spaced page in length, using 12-point Times New Roman font. You do not need to do any calculations, but you do need to pick a city to open a second location at and justify your answer based upon the provided results of the Multiple Linear Regression. Think of this assignment as the first page of a much longer report, known as an Executive Summary, that essentially summarizes your findings briefly and at a high level. This needs to be written up neatly and professionally. This would be something you would present at a board meeting in a corporate environment.What is an Executive Summary?To help you make this decision here are some things to consider:Based on the MLR output, what variable(s) is/are significant? From the significant predictors, review the mean, median, min, max, Q1 and Q3 values? It might be a good idea to compare these values to what the New York value is for that variable. Remember New York is the baseline as that is where headquarters are located.Based on the descriptive statistics, for the significant predictors, what city/cities has the best potential? What city or cities fall above or below the median and/or the mean? What city or cities are in the upper 3rd quartile? Or the bottom quartile? These are some things to consider not necessarily questions you need to answer in your Executive Summary. But they are questions to help guide you along in your analysis.Supporting Materials Math 302 Final Project.xlsx (15 KB)

I want you to answers all the questions in the packets. and please make sure to finish on time