If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.8% per year, the balance P grows at the rate given by dP 0 068P dt a) Find the function that satisfies the equation. Write it in terms of Po and 0.068. b) Suppose that $500 is invested. What is the balance after 1 year? After 4 years? c) What is the rate of change of the balance after 1 year? After 4 years? a) P(t) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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2.4-4

If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.8% per year, the balance P grows at the rate given by
dP
= 0 068P
dt
a) Find the function that satisfies the equation Write it in terms of Po and 0 068.
b) Suppose that $500 is invested. What is the balance after 1 year? After 4 years?
c) What is the rate of change of the balance after 1 year? After 4 years?
a) P(t) =
!!
Transcribed Image Text:If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.8% per year, the balance P grows at the rate given by dP = 0 068P dt a) Find the function that satisfies the equation Write it in terms of Po and 0 068. b) Suppose that $500 is invested. What is the balance after 1 year? After 4 years? c) What is the rate of change of the balance after 1 year? After 4 years? a) P(t) = !!
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