Question

(1 point) At what constant, continuous rate must money be deposited into an account if the account is to contain $22500 in 5 years? The account earns 6% interest compounded continuously.

Answer 1

Huh? You just said it earns 6%
I guess you want the amount invested. That would mean
Pe^(5*0.06) = 22500
solve for P

Answer 2

thats what I have been doing and it keeps telling me its wrong

Answer 3

If it is deposited at a continuous rate k it is
dA/dt = r A + k
not just dA/dt = r A

Answer 4

If it is deposited at a continuous rate k it is
dA/dt = r A + k
not just dA/dt = r A
messy!
In fact it started out zero

Answer 5

as oobleck suggested,
p e^(5(.06)) = 22500
p = 22500/e^.3 = 16,668.41

It must accept that answer, or else you typed it incorrectly.

Answer 6

but it says that the money is deposited at a continuous rate, not just the usual put it in and let it compound continuosly problem.