Riverbed Excavating Inc. is purchasing a bulldozer. The equipment has a price of $$97,600.$ The manufacturer has offered a payment plan that would allow Riverbed to make $10$ equal annual payments of $$15,883\mathrm{.}95,$ with the first payment due one year after the purchase.

$($a$)$

How much total interest will Riverbed pay on this payment plan? $($Raund answer to O decimal places, eg: $5,125)$

Total interest $ $$

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$($b$)$

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