Referring to Problem 23, in how many years will the $10,000 be due in order for its

Question:

Referring to Problem 23, in how many years will the $10,000 be due in order for its present value to be $5,000?
Problem 23
Solving A = Pert for P, we obtain
P = Ae-rt
which is the present value of the amount A due in t years if money earns interest at an annual nominal rate r compounded continuously.
(A) Graph P = 10,000e~008', 0 (B) limt →∞ 10,000e-008t = ? [Guess, using part (A).]