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Joseph Moore must decide how to invest $$17,500$ that he just inherited. What would be the future value of his investment after $6$ years under each of the following three investment opportunities? $($Do not round intermediate calculations. Round final answers to $2$ decimal places, e$.$g$.2,515\mathrm{.}25.)$

a$.6\mathrm{.}34$ percent compounded quarterly.

Value of investment after $6$ years $ $$

b$.6\mathrm{.}16$ percent compounded monthly.

Value of investment after $6$ years $ $$

c$.6\mathrm{.}09$ percent compounded continuously.

Value of investment after $6$ years $ $$