Determine the nominal annual interest rate compounded quarterly for an investment of $$18,000$ that earns $$3,858\mathrm{.}37$ interest in $6$ years.

Round your answer to $4$ decimal places.

$]=[18000+3858\mathrm{.}37$

$I=$PrI,$S=P(1+rI),P=\frac{S}{1+ri},S=P(1+i{)}^{\text{'}\text{'}},P=S(1+i{)}^{-1\text{'}},P=\frac{S}{(1+i{)}^{\text{'}\text{'}}}$

$f=(1+1{)}^{\text{'}\text{'}\text{'}}-1$

$S_n=\frac{R[(1+i{)}^n-1]}{i}$

$A_n=\frac{R[1-(1+i{)}^{-n}]}{i}$

Please use the formula from the end of the page