Harley$-$Davidson Inc. manufactures motorcycles. During the years following $2018($the company$$s $115$th anniversary year$),$ the company$$s gross income can be approximatedby $1\mathrm{.}97-0\mathrm{.}13$ by per year, where t is time in years since January $1,2018.$ Assume this rate holds through January $1,2023,$ and assume a continuous interest rate of $2\mathrm{.}0\%$ per year.

a$)$What was the income of the Harley$-$Davidson Company in $2018$ What is the projected gross income in $2022$

b$)$What was the present value, on January $1,2018,$ of Harley$-$Davidson$$s gross income for the four years from January $1,2018$ to January $1,2022?$

c$)$What is the future value, on January $1,2022,$ of the gross income for the preceding $4$ years?