Growth and Decay Project
Storyboard Text
- Hi, I was wondering if you would like to work a full time job, every day for the month of April?
- There is a catch to it though. If you take this job, I will pay you a penny the first day and then double that pay every day for the whole month.
- Hmm, should I take the job or should I not?
- I think that that might be very interesting.
- Amount I get Paid in Two Weeks: $163.83 Day 8 9 10 11 12 13 14 1.28 2.56 5.12 10.24 20.48 40.96 81.92
- Amount I get Paid for One Week: $1.27 Day 1 2 3 4 5 6 7 .01 .02 .04 .08 .16 .32 .64
- Hmm, I'm starting to think that this job might be worth it...
- Equation for the nth Day: y=2n-1 =pennies y=2n-1 /100=dollars Day=n
- Yes, I will take the job!
- WOW! I think this job is totally worth taking!!
- So, you'll take the job offer?
- A person comes to you and offers you a job working full time, every day for the month of April. She says she will pay you 1 penny the first day, 2 pennies the second day, 4 pennies the third day, 8 pennies the fourth day and so on, doubling your pay every day. Would you take the job?
- Formula: A= P(1+ r/n)nt A=5,368,709.12(1+.03/4)4x20 A=5,368,709.12=(1,0075)80 A=5,368,709.12(1.81804398039) A=9,760.549.30
- Whoa, that is crazy how money can add up to so much like that...
- How much will you earn for the first week? What is an equation that will tell how much you will get paid on the nth day? How much have you made for 2 weeks work? Do you think the job is worth it?
- Formula: y=C(1-r)t y=41,943.04(1-15)6 y=41,943.04(.85)6 y=41,943.04(.37714951) y=15,818.80
- Wwhhhaaaa...!! That's INSANITY!!!!!
- Show a calendar with the amount (in dollars, not cents) you will get paid for each day. What is your final decision on accepting the job?
- ZZZ...
- If you take just the last day’s pay and put it in a savings account that pays 3%interest compounded quarterly, leaving it there for 20 years, how much money will you have in the account?
- Depreciation is a ‘decay’ in the value of an item. Our decay model is y = C(1 − r)t where y = total, C = original amount, r = decay rate (%) as a decimal and t = time. Suppose you take the 23rd day’s pay and buy a new car. Use this model to find the value of the car after 6 years if it depreciates 15% per year.
- ...And after such a long day at school, this girl deserved a long, well rested, goodnight's sleep...
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