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) =

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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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) =
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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