How much money must be deposited today to become ​$1300 in 20 years at 7.5% compounded​ continuously?

• altavistard: Use the formula for Amount for continuous compounding:
  
  A = Pe^(rt)
  
  Here A = $1300, r = 0.075 and t = 20 yrs.  Thus,
  
  1300 = P*e^(0.075*20), or    1300 = P (4.482).
                                     $1300
  Solving for P:  P = ----------------- = $290.07  (answer)
                                     4.482