Example 11: How long will it take for the amount in an account to double if the money is compounded continuously at an interest rate of 2.5% per year?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Example 11: How long will it take for the amount in an account to double if the money is compounded continuously at an interest
rate of 2.5% per year?
Transcribed Image Text:Example 11: How long will it take for the amount in an account to double if the money is compounded continuously at an interest rate of 2.5% per year?
Expert Solution
Step 1

The continuous compounding rule is given by,

P(t) A ert, where A is the original balance,
r is the rate and
t is the time
We need to find the time it takes to get doubled at the rate of 2.5% if the money is
compounded continuously
So, P 2A
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