Modelling with Indices 10. A person offers you one of two prizes: Prize (A) $1000 right now. Prize (B) 1 cent doubled every day for 20 days. (a) By simply guessing, which one would you take? (b) Write down the amount for Prize (B) for the first four days: Day 0 Day 1 Day 2 Day 3 | Day 4 1c 2c (c) Do you see a pattern? Create a formula for the amount after n days. (d) Using your formula, how much is Prize (B) worth after the 20 days has elapsed? (You can use a calculator).
Modelling with Indices 10. A person offers you one of two prizes: Prize (A) $1000 right now. Prize (B) 1 cent doubled every day for 20 days. (a) By simply guessing, which one would you take? (b) Write down the amount for Prize (B) for the first four days: Day 0 Day 1 Day 2 Day 3 | Day 4 1c 2c (c) Do you see a pattern? Create a formula for the amount after n days. (d) Using your formula, how much is Prize (B) worth after the 20 days has elapsed? (You can use a calculator).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Modelling with Indices
10. A person offers you one of two prizes:
Prize (A) $1000 right now.
Prize (B) 1 cent doubled every day for 20 days.
(a) By simply guessing, which one would you take?
(b) Write down the amount for Prize (B) for the first four days:
Day 0 Day 1 Day 2 Day 3 | Day 4
1c
2c
(c) Do you see a pattern? Create a formula for the amount after n days.
(d) Using your formula, how much is Prize (B) worth after the 20 days has elapsed? (You can use a
calculator).
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