Trent and Dottie Turner have a new​ grandchild, Brenda. They want to create a trust fund for her that will yield ​$270,000 on her 24th birthday.   a​) What lump sum would they have to deposit now at 5.7​%, compounded​ continuously, to achieve ​$270,000​? b​)Trent and Dottie decide instead to invest a constant money stream of​ R(t) dollars per year. Find​ R(t) such that the accumulated future value of the continuous money stream is ​$270,000​, assuming an interest rate of 5.7%,compounded continuously.