How much would $200 invested at 5% interest compounded continuously be worth after 9 years? round your answer to the nearest cent a(t) = p(1+r/n)^nt a. $207.63 b. $313.37 c. $363.82 d. $310.27

The easier formula for continuously compounded interest is where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate expressed as a decimal, and t is the time in years.  Our formula then is filled in accordingly where P = 200, r = .05 and t = 9.   and  .  e is Euler's number and there is a button on your calculator for it.  If you hit 2nd and the ln button you get "e^ " on your display.  Enter .45 as your exponent and then multiply that by 200.  That gives us a value of $313.67  (your answer is $313.37...did you type the choice incorrectly, maybe?)