Question was determine the present value P of a continous income flow of c(t) dollars per year, if c(t)=30000+500t , r=7% , t=5
can somone tell me if i did this right? this is a take home question for extra credit and i wanna make sure im right. Im a little confused because i dont know what to put as an answer. do i plug in r and t and get a numer or do i leave the equation for the answer. if i plug in r and t i get -5.451778105X10^10 which looks really wrong lol.
For the first integral, let so that . Then
The second integral is integrated by parts: Let and . Then , and using the above work, . So
. Again using the above work, this becomes
Putting the above results together