$($i$)$ Prove that for all ninN,$n^2+2$ is not divisible by $4$

$($ii$)$ "Given xinR, the value of $|3x-28|$ is greater than or equal to the value of $(x-9)."$

State, giving a reason, if the above statement is always true, sometimes true or never true.Php $84,000$Quezon CityJuly $16,2020$One hundred sixty days after date, for the value received the undersigned promises to pay Mr$.$ Rowell Vega of Quezon City Eighty Four Thousand Pesos and $00/100.$ This sum includes all interest due on a loan of Eight thousand pesos and $00/100.$SignedEdgardo Manabat$1.$ When is the specific date that Mr$.$ Manabat is going to pay his debt?Encode your answer in this format: January $1,2021$

$2.$ How much will Mr$.$ Vega receive after $180$ days?

$3.$ Who is the drawee of the note?Encode your answerin this format: Maria Cruz

$4.$ What is the interest rate?Encode your answer in thisformat: $11\mathrm{.}11\%.$Mr$.$ Vega sold the note to a bank after $45$ days. The bank agreed to buy the note at an $8\%$ discount rate.

$5.$ How much will the bank earn from this transaction?

$6.$ How much will the bank pay mr$.$ Vega?