$1,000,000^(1/3) = $100,000^(1/3)(1 + r) This simplifies to: $100 = (1 + r)
i didn't pay any attention to the maths, just the outcome.
but then i tried to do the maths myself and got hella confused.
turns out i was doing "10^1/3" (3.33) in google instead of "10^(1/3)" (1.154).
so, that's lame - i guess gpt got confused about how to handle the exponential algebra.
so it ends up being something like:
$1,000,000 = $100,000(1+r)^3 10 = (1+r)^3 10^(1/3) = (1+r) 2.154 = 1+r 1.154 = r R = 115%