Rex Corporation accepted a $$4,000,6\%,120-$day note dated August $8$ from Regis Company in settlement of a past bill. On October $11,$ Rex discounted the note at Park Bank at $7\%.($Use Days in a year table.$)$

a$.$ What is the note's maturity value?

Note: Use $360$ days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.

$$

b$.$ What is the discount period?

Discount period