Lawrence signs a note promising to pay Justin $$2500$ at $11\mathrm{.}25\%$ compounded monthly in $7$ years. However, $6$ months before maturity, Justin sells the note to Angela who discounts the note on $17\mathrm{.}25\%$ bank discount rate.

a$.$ Find the maturity value of the note.

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b$.$ How much did Justin receive from the sale of the note to Angela?

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