Math

Pre-Calculus

The Loans for Tuition

In this project I learned about loans and credit cards and how money is spent and used in these processes. Along with this we learned one sided opinions both good and bad about about being in debt. The most interesting thing for me is observing how people spend more money then they own and all of a sudden end up in a massive amount of debt. I also am very interested in how much money the bank makes of off loans. I found that this course was very informative and has prepared me for the future.









Paying for College




In this project I researched the past tuition of two schools (Colorado Northwest College and Colorado School of Mines). After researching past tuition rates I predicted the tuition of the years I would be going to these schools. After that I looked up repayment plans and picked the best one for me. After researching I found that Colorado school of mines would cost me 81249 and the best repayment plane for me would be the standard graduated repayment plan. I also found Northwest College to be 14678 and the best repayment plan for this to be standard fixed.


Tuition for Colorado Northwest College and Colorado School of Mines
Colorado School of Mines is a four year in-state public school that is located in Golden Colorado. After analyzing collected data on past tuitions the equation y=828.4571429x+ 9128.066667 can be constructed, this means that that each year the price of tuition will rise roughly 828.46 starting at year 2006-2007at a price of 9128.07. The average percent increase in tuition from the collected data is 6.3% why the percent average percent increase of expected tuition is 4.3%. The greatest percent increase in data happened in 2010-2011 this is because  bloating of university administration acts like sludge in the education engine that is increasingly fueled by student tuition. Note that this is not the only causes of tuition hikes at Colorado school of mines. Based on estimated tentative tuition cost over 4 years would be $81249 at Colorado School of Mines.
Colorado Northwest College is a four year in-state Community College. After analyzing collected data the equation y=135.4285714x+1841.3333 can be constructed, this means that that each year the price of tuition will rise roughly 135.43 starting at year 2006-2007 at a price of 1841.33. The average percent increase in the tuition from the data collected is 6 %. The average increase of the expected tuition is 3.8%.The greatest increase in data happened in 2008-2009 this is because approximately 70% of Northwest’s students were in transfer programs and 24% are in occupational programs. Based on estimated tentative tuition cost of tuition over 4 years would be$14678 at Colorado Northwest College.
For School of mines I picked the standard graduated repayment plan to pay of my tuition because it is the cheapest repayment plane and I believe that even though paying of my debt would be hard towards the end I believe that I could save up money during paying for the less expensive loans so that I could pay for the more expensive loans. Because this is only the calculation of tuition other things like books and board and room can affect the cost exponentially. For example if you consider the board and room in the cost of tuition the total amount would actually be 128887.3 instead of 81249.
For Colorado Northwest College was the cheapest because it was a community college and tuition only cost 14678. For how little the tuition cost there was really only one payment and that was the standard fixed and the monthly payment of $168.91. Because this is only the calculation of tuition other things like books and board and room can affect the cost total cost for going to Colorado Northwest College. But if I were looking to get a cheap education I would go to an instate community college based on the information found.
From this process I have learned a lot about the college I want to go to and how paying for the college would be. From this knew found knowledge I have goals for myself in order to ensure that I have a higher chance of getting into the School of Mines. I feel very strong in liner equations and after applying that knowledge to map out the tuition cost for when I would be in college, it has not affected me on the fact that I want to go to this college or a good college because I still want a good education. But in doing this I have gained perspective such as how much college costs and how loans work. With this perspective I understand better how important it is for me to be applying myself in school.

Excel Tables
Colorado School of Mines colorado northwest community college 
Academic Year  Yrs Since 2003 Tuition Room   Board Total Tuition and rum, board costs Percent Increase Tuition Room   Board Total  Education Costs (year) Percent Increase
Sem. Yr Per Year  Sem. Yr Per Year 
2003-2004 1 1
2004-2005 2
2005-2006 3
2006-2007 4 2056
2007-2008 5 17400 10050 3765 3765 17400 2127 1.034533
2008-2009 6 18589 11239 3675 3765 18589 1.068333 2140 1.006112
2009-2010 7 18710 10590 4060 4060 18710 1.006509 2323 1.085514
2010-2011 8 20840 12244 4298 4298 20840 1.113843 2506 1.078777
2011-2012 9 21789 14453 3667.5 3668 21789 1.045537 2740 1.093376
2012-2013 10 23512 13590 4961 4961 23512 1.079077 0
5.313299
Linear Equations y=828.4571429x+9128.066667 y=1208.2x+15911.1.333 y=135.4285714x+1841.3333 5.298312
1.06266 1.059662
Estimated Years
2014-2015 11 18241.1 29201.333 3331
2015-2016 12 19069.55 1.0454 30409.533 = 3466 1.04066
2016-2017 13 19898.01 1.0434 31617.733 0.961787 3602 1.03907
2017-2018 14 20726.47 1.0416 32825.933 0.963194 3737 1.0376
2018-2019 15 21554.92 1.04 34034.133 0.9645 3873 1.03624
2019-2020 16 22383.38 1.0384 35242.333 2.889481 4008
4.15356
Sum Formula 81248.95 128887.33 128887.3 14678 1.03839
College Repayment Plans - COLLEGE 1
# of Months Monthly Payment  Loan Principle Total Loan Payback Total Interest Standard Graduated Plan  Extended Graduated Plan
Standard/ Fixed 120 935.02 81249 112201.94 30952.94 Years 1-2 642.01 Years 1-2 467.51
Standard/ Graduated 300 81249 100947.42 182196.42 Years 3-4 780.52 Years 3-4 488.2
Extended Fixed 300 563.93 81249 169177.99 87928.99 Years 5-6 948.91 Years 5-6 509.8
Extended Graduated 120 81249 118262.45 37013.45 Years 7-8 1153.63 Years 7-8 532.36
Years 9-10 1402.52 Years 9-10 555.92
Years 11-12 580.52

Years 13-14 606.21

Years 15-16 633.03
Years 17-18 661.05
Years 19-20 690.3
Years 21-22 720.85
Years 23-24 752.75
Years 25 786.06

College Repayment Plans -colorado northwest community college 
# of Months Monthly Payment  Loan Principle Total Loan Payback Total Interest Standard Graduated Plan  Extended Graduated Plan
Standard/ Fixed 120 168.91 14678 20269.79 5591.79 Years 1-2 Years 1-2
Standard/ Graduated NA Years 3-4 Years 3-4
Extended Fixed NA Years 5-6 Years 5-6
Extended Graduated NA Years 7-8 Years 7-8
Years 9-10 Years 9-10

Years 11-12

Years 13-14
Years 15-16


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