An enterprising student invests $1,000 at an annual interest rate that will grow the original investment to $2,000 in 4 years. In 4 more years, the amount will grow to $4,000, and this pattern of doubling every 4 years repeats over a total time span of 36 years. How much money will the student gain in 36 years? What is the magical annual interest rate the student is earning?

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....
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An enterprising student invests $1,000 at an annual interest rate that will grow the original investment to $2,000 in 4 years. In 4 more years, the amount will grow to $4,000, and this pattern of doubling every 4 years repeats over a total time span of 36 years. How much money will the student gain in 36 years? What is the magical annual interest rate the student is earning?

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