If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.9​% per​ year, the balance P grows at the rate given by dPdt=0.069P.   ​a)   Find the function that satisfies the equation. Write it in terms of P0 and 0.069. ​b)   Suppose that ​$1500

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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If an amount
P0
is invested in the Mandelbrot Bond Fund and interest is compounded continuously at
6.9​%
per​ year, the balance P grows at the rate given by
dPdt=0.069P.
 
​a)
 
Find the function that satisfies the equation. Write it in terms of
P0
and
0.069.
​b)
 
Suppose that
​$1500
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?
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