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.

Question

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.

mathmale · Answer

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 · Answer

You misunderstand the question. The point is to find a differential equation (which I should have explained) dB/dt.

kkutie7 · Answer

the differential equation should describe the rate at which B the balance is changing.

mathmale · Answer

Please write the pertinent equation for B.