SOLUTION: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuosly is given by A=Pe^rt where r is expressed as a decimal. Solve
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Question 82638This question is from textbook
: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuosly is given by A=Pe^rt where r is expressed as a decimal. Solve this formula for t in terms of A,P and r. This question is from textbook
You can put this solution on YOUR website! The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continously is given by A=Pe^rt where r is expressed as a decimal. Solve this formula for t in terms of A,P and r.
: = A; Find t
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Divide both sides by P and you have: =
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Use the nat logs, and log equivalent of exponents:
rt * ln(e) = ln(A/P)
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nat log of e = 1, so it's just:
r*t = ln(A/P)
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Divide both sides by r:
t =
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