Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $50000 in the account. Each year the account earns 4% interest, and you deposit $5000 into the account. This can be modeled with the differential equation: dy dt y(0) Solve this differential equation for y(t) = y(t) = = 0.04y + 5000 50000
Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $50000 in the account. Each year the account earns 4% interest, and you deposit $5000 into the account. This can be modeled with the differential equation: dy dt y(0) Solve this differential equation for y(t) = y(t) = = 0.04y + 5000 50000
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:Let y(t) represent your bank account balance, in dollars,
after t years. Suppose you start with $50000 in the account.
Each year the account earns 4% interest, and you deposit
$5000 into the account.
This can be modeled with the differential equation:
dy
dt
y(0)
Solve this differential equation for y(t)
=
y(t) =
=
0.04y + 5000
50000
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