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=$$$1\mathrm{.}00.$ She determines that the dollar cost today for a $30-$day stay would be $$10,038.28.$ 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 $2\mathrm{.}7185$ per annum, while U$.$S$.$ inflation is expected to be $1\mathrm{.}213\%.$

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?

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

The amount Theresa might expect to need one year hence to pay for her $30-$day vacation is $

$($Round to the nearest cent.$)$