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On January $1,2024,$ Universe of Fun issues $$870,000,8\%$ bonds that mature in $10$ years. The market interest rate for bonds of similar risk and maturity is $9\%,$ and the bonds issue for $$813,415.$ Interest is paid semiannually on June $30$ and December $31.$

Required:

Complete the first three rows of an amortization schedule. $($Do not round intermediate calculations. Round your final answers to the nearest whole dollar.$)$

$\backslash$table$[[$Date$,$Cash Paid,$\backslash$table$[[$Interest$],[$Expense$]],\backslash$table$[[$Change in$],[$Carrying Value$]],$Carrying Value$],[\frac{1}{1}\frac{?}{2024},,,,],[\frac{6}{30}\frac{?}{2024},,,,],[\frac{12}{31}\frac{?}{2024},,,,]]$