Suppose that the federal administration plans to fight a deep, ongoing recession with a nationwide plan of increasing infrastructure. Congress approves it and adjusts the budget accordingly to put the plan in motion immediately. Aggregate demand spending components include consumption (C), investment (I), government (G), and exports (X) minus imports (M). Analyze what the aggregate demand and aggregate supply model predicts about the infrastructure plan to answer three questions.

Budget in this final week, you will develop a proposed budget of $150,000 for the first year of the program and complete the final concept paper for the proposed program due for senior management review. the budget should identify the program's anticipated expenses for the year ahead. budget line items should be consistent with the proposed program and staffing plan. using the readings for the week, the south university online library, and the internet, complete the following tasks: create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a microsoft excel spreadsheet. you may transfer your budget to your report. justify the cost for each item of the proposed budget in a budget narrative.

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.