In the box below, explain how you can obtain the Golden Ratio using the Fibonacci Sequence. You can also answer this question on your own paper.   

Imagine a Magic Dollar bill, which makes a clone of itself (thus doubling in number) every night. On May 1, you found one Magic Dollar bill. On May 2, there were two Magic Dollar bill. On May 3, there were four, and so on.  How many Magic Dollar Bills will there be on May 26? Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER, which you will submit after this online portion is completed.

Suppose that the average annual college tuition is expressed by the formula  where n is the number of years since 2017. Which one of the following accurately describes this growth?

The population of a town is growing linearly. Last year, the population was 200,000. This year, the population is 220,000. What will be the town’s population 4 years from now? 

If the population increases by 11% every year, how many years does it take for the population to double? Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. 

Suppose that the average annual college tuition is expressed by the formula  where n is the number of years since 2018. Which one of the following accurately describes this growth?

The number of patients in the local ICU (intensive care unit) is increasing by 15 people every day. This is an example of exponential growth.

Jefferson’s Method of apportionment favors bigger states while Hamilton’s Method does not.

Your friend tosses two coins, and you win $100 if you get two Tails but loses $40 if you don’t get two Tails. What is your expected value each time your friend tosses two coins?

An organization is trying to choose their next president. The results are as follows:  # votes 12 10 8 5 1st choice Ivan Freda Chris Chris 2nd choice Freda Ivan Freda Ivan 3rd choice Chris Chris Ivan Freda (a) Which candidate wins by plurality? (3 pts.) (b) Which one wins by the Instant Runoff Voting? (4 pts.) (c) Is there a Condorcet winner? If so, identify the candidate. (3 pts.) Write ONLY your answers in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. Credit will not be given unless you show your work.