"What is the answer to the question of the average inflation rate in Magrathea from year 0 to year 2000?"

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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A long time ago in a galaxy far, far away... there was a planet, named Magrathea located in orbit around the twin suns Soulianis and Rahm in the heart of the Horsehead Nebula. The Magratheans were very much interested with economics so since the day they started their calendar (year 0) they were calculating the annual inflation rate. Interestingly, they realized that their annual inflation follows a pattern: every year, the prices increase (f) by a rate which is equal to the last digit of their year: so the prices would increase by 1% in year 1, 2% in year 2, 3% in year 3... More interestingly, the Magratheans were using the hexadecimal system on their calendar, so after year 9 (where the inflation was 9%) year A comes (where the inflation was 10%), then year B (11%), C (12%), D (13%), E (14%), F (15%) and then 10 (with an inflation of 0%). At the end of year 2000 of the Magrathean calendar the chief economists of the country decided to calculate the average inflation rate over these 8192 Magrathean years by asking this question to the Deep Thought computer:

"What is the answer to the question of the average inflation rate in Magrathea from year 0 to year 2000?"

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