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) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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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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