Question 971373
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How much should you invest in a continuously compounded account at an annually interest rate of 6% 
if you want exactly $8000 after four years?
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        Calculations in the post by @lwsshak3 are incorrect.

        I came to provide an accurate solution.



Formula for a continuous compounding account: A=Pe^rt, 
P = initial investment, 
r = interest rate, 
t=years, 
A=amt after t-yrs


For given problem:
r = 0.06
t = 4
A = 8000


..


P = A/e^rt = 8000/e^(0.06*4) = 8000/e^(0.24)= 6293.02.

How much should you invest in the continuously compounded account? $6293.02.


Solved correctly.