Troy $($single$)$ purchased a home in Hopkinton, Massachusetts, on January $1,2007,$ for $$275,000.$ He sold the home on January $1,2022,$ for $$295,500.$ How much gain must Troy recognize on his home sale in each of the following alternative situations?

Note: Leave no answer blank. Enter zero if applicable.

Required:

a$.$ Troy rented out the home from January $1,2007,$ through November $30,2008.$ He lived in the home as his principal residence from December $1,2008,$ through the date of sale. Assume accumulated depreciation on the home at the time of sale was $$14,300.$ what is the recognized gain?

b$.$ Troy lived in the home as his principal residence from January $1,2007,$ through December $31,2017.$ He rented out the home from January $1,2018,$ through the date of the sale. Assume accumulated depreciation on the home at the time of sale was $$6,600.$what is the recognized gain?

c$.$Troy lived in the home as his principal residence from January $1,2007,$ through December $31,2019.$ He rented out the home from January $1,2020,$ through the date of the sale. Assume accumulated depreciation on the home at the time of sale was $$0.$ what is the recognized gain?

d$.$ Troy rented out the home from January $1,2007,$ through December $31,2017.$ He lived in the home as his principal residence from January $1,2018,$ through December $31,2018.$ He rented out the home from January $1,2019,$ through December $31,2019,$ and lived in the home as his principal residence from January $1,2020,$ through the date of the sale. Assume accumulated depreciation on the home at the time of sale was $$0.$what is the recognized gain?