This question is about doubling t. a. a) Suppose an initial amount of 100 (deer or dollars, your choice) increases at an annual rate of 7.8%. How long will it take for the amount to double? Round to the nearest 0.01 year b. How long would it take for the same initial amount to double if it increases at a continuous rate of 7.8%? c. Which is longer, and by how much? Give your answer in years, and also convert this answer to months. d. How would your answers change if we start with initial amount of 1000?
This question is about doubling t. a. a) Suppose an initial amount of 100 (deer or dollars, your choice) increases at an annual rate of 7.8%. How long will it take for the amount to double? Round to the nearest 0.01 year b. How long would it take for the same initial amount to double if it increases at a continuous rate of 7.8%? c. Which is longer, and by how much? Give your answer in years, and also convert this answer to months. d. How would your answers change if we start with initial amount of 1000?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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This question is about doubling t. a. a) Suppose an initial amount of 100 (deer or dollars, your choice) increases at an annual rate of 7.8%. How long will it take for the amount to double? Round to the nearest 0.01 year
b. How long would it take for the same initial amount to double if it increases at a continuous rate of 7.8%?
c. Which is longer, and by how much? Give your answer in years, and also convert this answer to months.
d. How would your answers change if we start with initial amount of 1000?
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