On January $2,2022,$ a company purchased a piece of equipment to be used in its operations. The price of the machine is to be paid in four equal installments of $$10,000$ each the first of which is a downpayment paid to the supplier on January $2,2022.$ Each of the other three payments will be made on December $31$ of the years $2022,2023$ and $2024.$

Assuming an implicit interest rate of $10\%,$ the discounted value of the three future payments is $$24,869.$ Given the above information, answer the following questions $($in your answer, do not use $"$ $ $"$ nor $"\%"$ signs and give answers rounded to the nearest dollar.$).$

The value of the machine to be recorded in the books on January $2,2022$ is

The Notes payable amount to be recorded on January $2,2022$ if the company uses the gross method to account for the liabilities is

The amount of interest expense to be recorded at the end of the year, on December $31,2022$ is

The amount of interest expense to be recorded at the end of $2023$ is

The net carrying value of the notes payable at the end of $2023$ is