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1) Use the digits of your birthday as the amount of your initial investment (i.e., 6/25 is $625), calculate the value of this investment after 10 years at 3.5% APR for interest compounded yearly, quarterly, monthly, and daily. What do you notice?
2) Using the monthly inflation rates from https://www.usinflationcalculator.com/inflation/historical-inflation-rates/ find the geometric mean for the past 60 months. How does the geometric mean compare to the inflation rate you found on Worksheet 2? Is this what you expected? Why or why not?
3) What are the four major categories of securities? How are they evaluated?
4) What are your favorite and least favorite experiences in this class so far? When responding, please refrain from using names and sharing comments that are inappropriate for the discussion forum.
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(If Appendix is assigned.) The "chained Year 1 dollar" estimate of real GDP in the apples-andoranges example (see Appendix) is smaller than the "constant Year 1 dollar" estimate of real GDP. Can you explain why? (Hint: Compare the GDP growth rates..
Series convergence - Prove, using the definition, that the following sequence converger
A computer network consists of six computers. Each computer is directly connected to at least one of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac is varying with time t as ac=k2rt2, where k is a constant. Find the power delivered to the particle by the forces acting on it.
A bowl is shaped like a hemisphere with a diameter of 60 cm. Water is poured into the bowl to depth of 12 cm. Find the volume of the water in the bowl.
Solve the following system of equations 1, x+2y=2 -4x+3y=25
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
This line is called a geodesic line. Apply the Law of Cosines for a spherical triangle to find the angle between Great Falls and Lemhi. How far did that explorers travel just to get that far?
On Friday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
How do you find the minimum (i = 1) or maximum (i = n) in a set? What is the running time? How do you find the second smallest element? Does this approach extend to finding the ith smallest? What is the running time?
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