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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Question
![Let y(t) represent your retirement account
balance, in dollars, after t years. Each year the
account earns 5% interest, and you deposit 10% of
your annual income. Your current annual income
is $36000, but it is growing at a continuous rate
of 2% per year.
Write the differential equation modeling this
situation.
dy
%3D
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63fc2e7e-85a3-4a32-88fc-b968e35c2cd0%2F4f79992e-21ed-4ff9-8d78-dc76bb033de7%2Flntp66h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y(t) represent your retirement account
balance, in dollars, after t years. Each year the
account earns 5% interest, and you deposit 10% of
your annual income. Your current annual income
is $36000, but it is growing at a continuous rate
of 2% per year.
Write the differential equation modeling this
situation.
dy
%3D
dt
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