Presented below is a partial amortization schedule for a three$-$year installment note requiring monthly payments of $$1,128\mathrm{.}11.$

$$

$(1)$

Date$(2)$

Cash Paid$(3)$

Interest Expense$(4)$

Decrease in Carrying Value$(5)$

Carrying ValueCarrying Value $$ Interest Rate$(2)(3)$Prior Carrying Value $(4)11/1/2024$$$36,000\mathrm{.}0011/30/2024$$$1,128\mathrm{.}11$$$240\mathrm{.}00$$$888\mathrm{.}1135,111\mathrm{.}8912/31/20241,128\mathrm{.}11234\mathrm{.}08894\mathrm{.}0334,217\mathrm{.}8610/31/20271,128\mathrm{.}117\mathrm{.}471,120\mathrm{.}640$

$1.$ What is the principal amount of the note?

$2.$ What is the total number of monthly payments?

$3.$ What is the total cash paid over the entire period of the note? $($Round your answer to $2$ decimal places.$)$

$4.$ What is the total amount of interest paid over the entire period of the note? $($Do not round your intermediate calculations. Round your answer to $2$ decimal places.$)$

$5.$ The portion of the monthly payment that reduces the carrying value $($increases$/$decreases$)$ over time.