You are given a choice of taking the simple interest on $100,000 invested for 3 years at a rate of 4% or the interest on 100,000 invested for 3 years at an interest of 4% compounded daily. Which investment earns the greatest amount of interest? Give the difference between the amounts of interest earned by two investments.

The investment with ____ (Compound or simple) interest earned $____ more in interest.
(Round to the nearest cent as needed)