The present value PV of a capital asset that provides a perpetual stream of revenue that flows continuously at a rate of R$($t$)$ dollars per year is given by

PV $=$ S$,$ Roe" de

where r$,$ expressed as a decimal, is the annual rate of interest compounded continuously.

$($a$)$ Find the present value of the asset if it provides a constant return of $$110$ per year and r $=7\%.$

$($Use decimal notation. Give your answer to the nearest dollar.$)$

PV $=$

$($b$)$ Find the present value of the asset if it provides a return of R$($t$)=1400+85$t dollars per year and r $=6\%.$

$($Use decimal notation. Give your answer to the nearest dollar.$)$

PV $=$