a special arithmetically increasing annuity due will make $84$ monthly payments. it provides payments of $100$ today, $100$ one month from now, $105$ two months from now, $105$ three months from now, and so on until the $83$rd and $84$th payments of $305$ are made. the present value of this annuity based on an annual nominal interest rate of $4\mathrm{.}8\%$ compounded monthly is p$.$ calculate p