$($Related to Checkpoint$5\mathrm{.}6)($Solving for i$)$ At what annual interest$$ rate, compounded$$ annually, would $$$$520$ have to be invested for it to grow to $$$$1$ comma $977\mathrm{.}46$ in $12$years$?$

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Part $1$

The annual interest$$ rate, compounded$$ annually, at which $$$$520$ must be invested for it to grow to $$$$1$ comma $977\mathrm{.}46$ in $12$ years is