SOLUTION: Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuo

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Question 636769: Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.
Answer by lwsshak3(11628) About Me  (Show Source):
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Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.
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P=initial investment
r=annual interest rate=5%
A=amt after t years
t=25 years
..
18000=P*e^(.05*25)
P=18000/e^1.25
using calculator
P=5157
Amt of money that should be invested=$5157