Dave and ellen are newly married and living in their first house. the yearly premium on their homeowner's insurance policy is $550 for the coverage they need. their insurance company offers a 8 percent discount if they install dead-bolt locks on all exterior doors. the couple can also receive a 4 percent discount 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 $95 each. at the local hardware store, smoke detectors cost $20 each, and the new house has two floors. dave and ellen can install them themselves.

a. what discount will dave and ellen receive if they install the dead-bolt locks?

b. what discount will dave and ellen receive if they install smoke detectors?