Sarah plans $to$ invest her money for the next $in5$ years. She plans $to$ invest a variable amount annually, starting with $$10,000in$ the first year and increasing the investment $by5\%$ each year thereafter. $If$ she expect $an$ average annual return $of7\mathrm{.}5\%on$ her investments, how much will she have accumulated $by$ the end $of5$ years?