Pulau$$ Penang, Malaysia.$$Theresa Nunn is planning a$30-$day vacation on Pulau$$ Penang, Malaysia, one year from now. The present charge for a luxury suite plus meals in Malaysian ringgit$($RM$)$ is RM$1,049/$day$.$ The Malaysian ringgit presently trades at RM$3\mathrm{.}1350=$ $$1\mathrm{.}00.$ She determines that the dollar cost today for a$30-$day stay would be $$$$10,038\mathrm{.}28.$ The hotel informs her that any increase in its room charges will be limited to any increase in the Malaysian cost of living. Malaysian inflation is expected to be $2\mathrm{.}739$ per$$ annum, while U$.$S$.$ inflation is expected to be $1\mathrm{.}259\%.$

a$.$ How many dollars might Theresa expect to need one year hence to pay for her$30-$day vacation?

b$.$ By what percent will the dollar cost have gone$$ up$?$ Why?