Presented below is a partial amortization schedule for a three$-$year installment note requiring monthly payments of $$1,974\mathrm{.}19.$

$(1)$

Date $(2)$

Cash Paid $(3)$

Interest Expense $(4)$

Decrease in Carrying Value $(5)$

Carrying Value

Carrying Value $\backslash$times Interest Rate $(2)(3)$ Prior Carrying Value $(4)$

$11/1/2024$ $$63,000\mathrm{.}00$

$11/30/2024$ $$1,974\mathrm{.}19$ $$420\mathrm{.}00$ $$1,554\mathrm{.}1961,445\mathrm{.}81$

$12/31/20241,974\mathrm{.}19409\mathrm{.}641,564\mathrm{.}5559,881\mathrm{.}26$

$$

$10/31/20271,974\mathrm{.}1913\mathrm{.}071,961\mathrm{.}120$

$1.$ 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.