Suppose Po, in dollars, is invested in the Von Neumann Hi-Yield Fund, with interest compounded continuously at 7% per year. That is, at any point in time after t years, the balance P, in dollars per year, is growing at a rate P = 0.07P. Suppose that $10,000 is invested. Round to the nearest hundredth and do not use commas.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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Suppose Po, in dollars, is invested in the Von Neumann Hi-Yield Fund, with interest
compounded continuously at 7% per year. That is, at any point in time after t years,
the balance P, in dollars per year, is growing at a rate P = 0.07P. Suppose that
$10,000 is invested.
dt
Round to the nearest hundredth and do not use commas.
1.2.PNG
11. How fast is the balance growing at t = 1 year? $
12. How fast is the balance growing at t = = 2 years? $
13. How fast is the balance growing at t = 5 years? $
14. How fast is the balance growing at t = 10 years? $
15. How fast is the balance growing at t = 25 years? $
II
100%
☐ X
per year
per year
per year
per year
per year
Transcribed Image Text:Suppose Po, in dollars, is invested in the Von Neumann Hi-Yield Fund, with interest compounded continuously at 7% per year. That is, at any point in time after t years, the balance P, in dollars per year, is growing at a rate P = 0.07P. Suppose that $10,000 is invested. dt Round to the nearest hundredth and do not use commas. 1.2.PNG 11. How fast is the balance growing at t = 1 year? $ 12. How fast is the balance growing at t = = 2 years? $ 13. How fast is the balance growing at t = 5 years? $ 14. How fast is the balance growing at t = 10 years? $ 15. How fast is the balance growing at t = 25 years? $ II 100% ☐ X per year per year per year per year per year
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