let P (t) denote the balance at time t (years) of an annuity that earns 5% interest continuously compounded and pays out $20,000/year continuously.What is the minimum initial balance that will allow the annuity tomake payments indefinitely?

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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let P (t) denote the balance at time t (years) of an annuity that earns 5% interest continuously compounded and pays out $20,000/year continuously.
What is the minimum initial balance that will allow the annuity to
make payments indefinitely?

 

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