SOLUTION: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS OF AN INITIAL PRINCIPLE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. WHAT

Question 64137: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS OF AN INITIAL PRINCIPLE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. WHAT IS THE AMOUNT IN THE ACCOUNT IF $500 IS INVESTED FOR 10 YEARS AT THE ANNUAL RATE OF 5% COMPOUNDED CONTINUOUSLY?
Answer by stanbon(75887) (Show Source): 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 CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. WHAT IS THE AMOUNT IN THE ACCOUNT IF $500 IS INVESTED FOR 10 YEARS AT THE ANNUAL RATE OF 5% COMPOUNDED CONTINUOUSLY?
----------------
A=Pe^rt
A=500e^(0.05*10)
A=500e^0.5
A=$824.36
Cheers,
Stan H.
RELATED QUESTIONS
The amount A in an account after t years of an initial principle P invested at an annual... (answered by stanbon)

The amount A in an account after t years from an initial principle P invested at an... (answered by stanbon)

I need help! The amount A in an account after t years of an initial principle P... (answered by funmath)

The amount A in an account after t years of an initial principle P invested at an annual... (answered by tutorcecilia)

ANYONE PLEASE HELP ME SOLVE THIS PROBLEM: The amount A in an account after t years from... (answered by stanbon,funmath)

Greetings, My question is: The amount A in an account after t years from an initial... (answered by stanbon)

The amount of A in an account after t years from an initial principle P invested at an... (answered by Nate)

The amount A in account after t years of an initial principle P invested at an annual... (answered by venugopalramana,Nate)

The amount in an account after t years from an initial principle P invested at an annual... (answered by Nate)