A bank account grows continuously according to dA/dt = 0.08A. If A(0)=₹5000, then after time t the amount is:
A bank account grows continuously according to dA/dt = 0.08A. If A(0)=₹5000, then after time t the amount is:
- A. 5000e^(0.08t)
- B. 5000+0.08t
- C. 5000e^(-0.08t)
- D. 400e^(0.08t)
Answer: A) 5000e^(0.08t)
Explanation: Continuous growth follows A=A₀e^(kt).
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