SOLUTION: 2000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 16000 dollars is invested in a bank account at an interest

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Question 964590: 2000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 16000 dollars is invested in a bank account at an interest rate of 4 percent compounded annually.
To the nearest year, When will the two accounts have the same balance?
I understand how to do one equation like this (A=Pe^(r*t)).. but I don't understand how to find the common ground between the two.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, the first one is A%5B1%5D=Pe%5E%28rt%29
The second is A%5B2%5D=P%281%2Bi%29%5Et
Set them equal to each other,
2000e%5E%280.07t%29=16000%281.04%29%5Et
.
.
.
.
Looks like it takes quite a while,
t=67.6 years