Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $$750$ for the coverage they need. Their insurance company offers an annual discount of $6$ percent if they install dead$-$bolt locks on all exterior doors. The couple can also receive an annual discount of $4$ percent if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead$-$bolt locks on the two exterior doors for $$102$ each. At the local hardware store, smoke detectors cost $$28$ each, and the new house has two floors. Dave and Ellen can install the smoke detectors themselves.

a$.$ What discount will Dave and Ellen receive if they install the dead$-$bolt locks? $($Round your answer to $2$ decimal places.$)$

Annual discount for dead$-$bolt locks

b$.$ What discount will Dave and Ellen receive if they install smoke detectors?

Annual discount for smoke detectors