Please explain where all the numbers stem from step by step. Thank you.

Required information [The following information applies to the questions displayed below.] On January 1, 2024, Splash City issues $450,000 of 7% bonds, due in 10 years, with interest payable semiannually on June 30 and December 31 each year. The market interest rate on the issue date is 8% and the bonds issued at $419,422. Required: 1. Using an amortization schedule, show that the bonds have a carrying value of $423,782 on December 31,2025 . (Round your final answers to nearest whole dollar.)