Answer Doc Algebra 2

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Name:________________________________

Part 1

Exponential Functions Project
There are three parts to this project. You must complete Part 1 (60 points), but you may choose to do either Part 2 or Part 3 (40 points each). You may also do all three parts for a total of 140 points; however, you must fully complete either Part 2 or Part 3 to get credit (NOT ½ of Part 2 and ½ of Part 3). This project is due on December 5th. Turning it in late forfeits your right to extra credit and there will be a 10% deduction for each day it is late. You must show all of your work and write your answers in complete sentences; failure to do so will result in loss of credit. You must show work on separate sheets of paper and staple them to this packet when completed; write final answers on packet in space provided. In addition to handing in a hardcopy, you must a submit an electronic copy to cvhs.algebra.2@gmail.com; an electronic answer sheet is available from the Carnegie Website, under homework for Ms. Chen's Class. http://carnegievanguard.com/apps/classes/505351/assignments/

Give Me My Money
You have recently been willed some money by a distant relative. The will specifies that the money is to be saved and will be available to you when you become financially independent of your parents. However, the will stipulates that you must first make a number of decisions. The first decision you must make is in what increments you would like to receive money for a 12 day period. There are three options: Plan 1: Receive $1,000 a day, each day, for 12 days. Plan 2: Receive $100 the 1st day, $300 the 2nd day, $500 the 3rd, etc. (gaining an extra $200 per day). Plan 3: Receive $5 the first day, then subsequent days you have double the amount of the previous day. Without doing any math, which would you instinctively choose? ____________________________________________________________________________________ Fill out the table below showing how much money you would have received thus far; be sure to write in the total up until that day, not the money handed out that specific day. (5 points) Day 1 2 3 4 5 6 7 8 9 10 11 12 Plan 1 $1,000 $2,000 _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ Plan 2 $100 $400 _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ Plan 3 $5 $10 _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________

Name:________________________________ Under which plan do you receive the most money at the end of 12 days?

Part 1

____________________________________________________________________________________ What kind of function does each of these plans represent? (Required: Graph the data to see the curves more clearly and find an equation for each graph, attach graphs with work) (5 points) Function Type Plan 1 Plan 2 Plan 3 _____________________ _____________________ _____________________ Equation ___________________________________ ___________________________________ ___________________________________

Now that you have chosen a plan, you must find a bank that gives you the highest interest rates in your town. You will not be allowed to withdraw money from this new account for at least seven years. Find the following information on three financial institutions. (5 points) Financial Institution Web Address 1 2 3 ________________ ________________ ________________ ______________________________________________ ______________________________________________ ______________________________________________ Interest Rate ________ % ________ % ________ %

Based on the above information, with which bank should you open an account?...
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