Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $70000 in the account. Each year the account earns 7% interest, and you deposit $9000 into the account. This can be modeled with the differential equation: dy 0.07y +9000 dt y(0) = 70000 Solve this differential equation for y(t) y(t) = Question Help: D Video
Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $70000 in the account. Each year the account earns 7% interest, and you deposit $9000 into the account. This can be modeled with the differential equation: dy 0.07y +9000 dt y(0) = 70000 Solve this differential equation for y(t) y(t) = Question Help: D Video
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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![Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $70000 in the
account. Each year the account earns 7% interest, and you deposit $9000 into the account.
This can be modeled with the differential equation:
dy
0.07y +9000
dt
y(0) = 70000
Solve this differential equation for y(t)
y(t) =
Question Help: D Video](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55e50ce0-2a3b-4adc-b5c9-38de3a43ed4c%2Fd33d716a-85b6-473b-b54e-95303a53cd74%2Fti8rx4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $70000 in the
account. Each year the account earns 7% interest, and you deposit $9000 into the account.
This can be modeled with the differential equation:
dy
0.07y +9000
dt
y(0) = 70000
Solve this differential equation for y(t)
y(t) =
Question Help: D Video
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