find the amount of money that needs to be invested at 5.6% compounded continuously for 5 years in order to?

Question

produce a future value of 25,000.

Answer 1

To compound continuously, use the equation...
A = Pe^(rt)
In your problem...
A = 25000, P is unknown, r = 0.056, and t = 5 years
25000 = Pe^(0.056*5) = Pe^(0.28) = P(1.32312981233757)
25000/1.32312981233757 = P
18,894.5935363912 = P
$18,894.60

Answer 2

25,000 = C e^0,056*5
C= 25,000/e^0.28=$18,894.60