ous annuity is a steady stream of money that is paid out, for example, b making Set up the differential equation that is satisfied by the amount fit) of money in the account at time t. Identify the solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A continuous annuity is a steady stream of money that is paid out, for example, by making an initial deposit in an account and then making steady withdrawals to pay the annuity. Suppose that an initial deposit of $4200 is made into an account that earns 4% interest compounded continuously, and
immediately continuous withdrawals are begun at the rate of $200 per year. Set up the differential equation that is satisfied by the amount f(t) of money in the account at time t. Identify the solution.
Set up the differential equation satisfied by y = f(t).
y' = |.04y - 200|
Select the graph of the function y = f(t).
A.
В.
C.
D.
8000-
7000-
7000-
7000-
2000-
0-
0-
0-
30
100
7000
100
Fo
Transcribed Image Text:A continuous annuity is a steady stream of money that is paid out, for example, by making an initial deposit in an account and then making steady withdrawals to pay the annuity. Suppose that an initial deposit of $4200 is made into an account that earns 4% interest compounded continuously, and immediately continuous withdrawals are begun at the rate of $200 per year. Set up the differential equation that is satisfied by the amount f(t) of money in the account at time t. Identify the solution. Set up the differential equation satisfied by y = f(t). y' = |.04y - 200| Select the graph of the function y = f(t). A. В. C. D. 8000- 7000- 7000- 7000- 2000- 0- 0- 0- 30 100 7000 100 Fo
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