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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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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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