Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $80000 in the account. Each year the account earns 6% interest, and you deposit $3000 into the account. This can be modeled with the differential equation: dy 0.06y + 3000 dt y(0) 80000 Solve this differential equation for y(t) y(t) =
Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $80000 in the account. Each year the account earns 6% interest, and you deposit $3000 into the account. This can be modeled with the differential equation: dy 0.06y + 3000 dt y(0) 80000 Solve this differential equation for y(t) y(t) =
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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Question
![Let y(t) represent your bank account balance, in
dollars, aftert years. Suppose you start with
$80000 in the account. Each year the account
earns 6% interest, and you deposit $3000 into the
account.
This can be modeled with the differential
equation:
dy
0.06y + 3000
dt
y(0)
80000
Solve this differential equation for y(t)
y(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63fc2e7e-85a3-4a32-88fc-b968e35c2cd0%2Fc29f8c11-8eb4-46d9-8331-4b8b76a46418%2F2iywq6q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y(t) represent your bank account balance, in
dollars, aftert years. Suppose you start with
$80000 in the account. Each year the account
earns 6% interest, and you deposit $3000 into the
account.
This can be modeled with the differential
equation:
dy
0.06y + 3000
dt
y(0)
80000
Solve this differential equation for y(t)
y(t) =
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