The savings plan formula is shown​ below, where A is the accumulated savings plan​ balance, PMT is the regular payment​ (deposit) amount, APR is the annual percentage rate​ (as a​ decimal), n is the number of payment periods per​ year, and Y is the number of years.
AequalsPMT times StartStartFraction left bracket left parenthesis 1 plus StartFraction APR Over n EndFraction right parenthesis Superscript left parenthesis nY right parenthesis Baseline minus 1 right bracket OverOver left parenthesis StartFraction APR Over n EndFraction right parenthesis EndEndFraction.

Find the savings plan balance after 6 months with an APR of 9​% and monthly payments of ​$100.