Kevin makes a deposit at the end of each year for $10$ years into a fund earning interest at a $4\%$ annual effective rate. The first deposit is equal to

$,$ with each subsequent deposit $9\mathrm{.}2\%$ greater than the previous year$$s deposit. The accumulated value of the fund immediately after the $10$th deposit is $5,000.$

Calculate

$.$

A

$255$

B

$260$

C

$270$

D

$279$

E

$293$