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 $3600 is made into an account that earns 3.5% interest compounded continuously, and immediately continuous withdrawals are begun at the rate of $500 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' = .035y-500 Select the graph of the function y = f(t). O A. O C. O D. Q 8000 Q 2000- Ау 0 OB. 7000- 0 7000 Ay 7000- 0 100 G 7000-1
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 $3600 is made into an account that earns 3.5% interest compounded continuously, and immediately continuous withdrawals are begun at the rate of $500 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' = .035y-500 Select the graph of the function y = f(t). O A. O C. O D. Q 8000 Q 2000- Ау 0 OB. 7000- 0 7000 Ay 7000- 0 100 G 7000-1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $3600 is
made into an account that earns 3.5% interest compounded continuously, and immediately continuous withdrawals are begun at the rate of $500 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' = .035y - 500
Select the graph of the function y = f(t).
O A.
C.
D.
Ау
7000-
7000-
0-
30
0
Ау
8000-
2000-
0
B.
7000+
0-
Ау
0
7000
100
Ау
0
30
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