You are considering different investment strategies to save for your retirement. Option 1: You invest $25/ month at a rate of 3.25% APR compounded monthly for 30 years.
Option 2: You invest $75/ quarter at a rate of 4.00% APR compounded monthly for 30 years.
Option 3: You invest $1,000 at a rate of 6.25% APR compounded monthly for 30 years.

Complete the table below and answer the questions below it.

You may use this calculator to help you. (Hint: The “Present Value” for options 1 and 2 is 0 while for option 3 it is $1,000.00. Also, the top radio button in the Contributions box should be selected so that contributions are made at the beginning of the period.)Which option was the least amount invested and what was the investment plan?

1) Which option yielded the highest amount at the end of the 30 years and what was the basis of the plan?
2) What is the difference in the principal invested for the highest and lowest final balances? What is the difference in the interest earned?
3)Is it better to invest more money in the beginning or the end of the 30 years?

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.