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What kind of solution do you need ?

If you want a numerical approximation of the unique real solution, you ca try:

sage: f(x) = 10000*(1+(0.0825/4))^(x*4) - 400000
sage: f.find_root(40,50)
45.17323135481834

What kind of solution do you need (symbolic, numerical, real, complex, ...) ?

If you want a numerical approximation of the unique real solution, you ca try:

sage: f(x) = 10000*(1+(0.0825/4))^(x*4) - 400000
sage: f.find_root(40,50)
45.17323135481834