If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year, dP the balance P grows at the rate given by dt = 0.062P. a) Find the function that satisfies the equation. Write it in terms of P and 0.062. b) Suppose that $500 is invested. What is the balance after 1 year? After 2 years? c) What is the rate of change of the balance after 1 year? After 2 years? a) P(t) = b) The balance after 1 year is $. The balance after 2 years is $. (Type integers or decimals rounded to two decimal places as needed.) c) The rate of change of the balance after 1 year is years is (Type integers or decimals rounded to two decimal places as needed.) yrs / $ ar $ /ar The rate of change of the balance after 2
If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year, dP the balance P grows at the rate given by dt = 0.062P. a) Find the function that satisfies the equation. Write it in terms of P and 0.062. b) Suppose that $500 is invested. What is the balance after 1 year? After 2 years? c) What is the rate of change of the balance after 1 year? After 2 years? a) P(t) = b) The balance after 1 year is $. The balance after 2 years is $. (Type integers or decimals rounded to two decimal places as needed.) c) The rate of change of the balance after 1 year is years is (Type integers or decimals rounded to two decimal places as needed.) yrs / $ ar $ /ar The rate of change of the balance after 2
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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![If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year,
dP
the balance P grows at the rate given by
dt
= 0.062P.
a) Find the function that satisfies the equation. Write it in terms of Po and 0.062.
b) Suppose that $500 is invested. What is the balance after 1 year? After 2 years?
c) What is the rate of change of the balance after 1 year? After 2 years?
a) P(t) =
b) The balance after 1 year is $ The balance after 2 years is $
(Type integers or decimals rounded to two decimal places as needed.)
c) The rate of change of the balance after 1 year is
years is
(Type integers or decimals rounded to two decimal places as needed.)
yrs/tor shor
The rate of change of the balance after 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2539764-cbb6-4f84-96a1-bc799fc276f3%2F2447371c-f0d3-486c-880f-44fc2f55392b%2Flajrdr_processed.png&w=3840&q=75)
Transcribed Image Text:If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year,
dP
the balance P grows at the rate given by
dt
= 0.062P.
a) Find the function that satisfies the equation. Write it in terms of Po and 0.062.
b) Suppose that $500 is invested. What is the balance after 1 year? After 2 years?
c) What is the rate of change of the balance after 1 year? After 2 years?
a) P(t) =
b) The balance after 1 year is $ The balance after 2 years is $
(Type integers or decimals rounded to two decimal places as needed.)
c) The rate of change of the balance after 1 year is
years is
(Type integers or decimals rounded to two decimal places as needed.)
yrs/tor shor
The rate of change of the balance after 2
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