Question 916506
let f = q(t)
let p = q(0)


your equation becomes:
f=p*e^(-.0001*t)


replace f with 50 and t with 5000 to get:
50 = p*e^(-.0001*5000)


divide both sides of this equation by e^(-.0001*5000) to get:
50/e^(-.0001*5000) = p
use your calculator to solve for p to get:
p = 82.43606354 which you can round as desired.


confirm by replacing p with 82.43606354 in the original equation to get:
f = p*e^(-.0001*5000) becomes:
50 = 82.43606354*e^(-.0001*5000) which becomes:
50 = 50


this confirms the solution is good.