Kkutie7
  • Kkutie7
I can't remember how to do this... A bank earns 10% annual interest, compounded continuously. Money is deposited in a continuous cash flow rate of $1400 per year into the account . Balance=B, so dB/dt.
Mathematics
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schrodinger
  • schrodinger
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mathmale
  • mathmale
Your question is incomplete. Please ensure that you've shared all of the instructions. Were you to deposit $1,400 at this bank, and the bank pays YOU 10% interest per year, compounded continuously, then the amount you'd have after 1 year would be found by evaluating A=Pe^(rt), where P=original principal, r=annual interest rate, and t=time in years. But y ou say that the bank EARNS interest. ??? And you say that $1,400 is deposited with the bank once every year? What are you looking for? Why do you need to calculate the derivative, dB/dt?
Kkutie7
  • Kkutie7
You misunderstand the question. The point is to find a differential equation (which I should have explained) dB/dt.
Kkutie7
  • Kkutie7
the differential equation should describe the rate at which B the balance is changing.

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mathmale
  • mathmale
Please write the pertinent equation for B.

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