How long will it take for$$ $$8400$ to grow to$$ $$14,600$ at an interest rate of$9\mathrm{.}4\%$ if the interest is compounded$$ continuously? Round the number of years to the nearest hundredth.

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Part $1$

A$.$

$0\mathrm{.}06$ year

B$.$

$0\mathrm{.}59$ year

C$.$

$5\mathrm{.}88$ years

D$.$

$58\mathrm{.}81$ years