A partial payment is made on the date$($s$)$ indicated. Use the United States Rule to determine the balance due on the note at the date of maturity. $($The Effective Date is the date the note was written.$)$ Assume the year is not a leap year. Round to the nearest cent.

$\backslash$table$[[$Principal$,$Rate,Effective Date,Maturity Date,Partial Payment$],[$$$1,600,2\mathrm{.}5\%,$April $7,$August $5,$Amount,Date$]]$

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A$.$ $$1,254\mathrm{.}17$

B$.$ $$1,264\mathrm{.}29$

C$.$ $$1,262\mathrm{.}19$

D$.$ $$1,261\mathrm{.}15$