Problem 10 - 8 Computing Discount Payback [LO 10 - 3] Matt and Kristin are newly married and living in their first house . The yearly premium on their homeowner's insurance policy is $ 400 for the coverage they need . Their insurance* company offers a 4 percent discount if they install dead - bolt lock's on all exterior doors . The couple can also receive a 2 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 $50 each . At the local hardware store , smoke detectors cost $ 7 each , and the new house has two floors . Kristin and Matt can install them themselves . Assuming their insurance rates remain the same , how many years will it take Matt and Kristin to earn back in discounts the cost of the dead-bolts ?" The cost of the smoke* detectors ? ( Do not round intermediate calculations . Round your answers to 2 decimal places . ) Dead _ Bolts Smoke Detectors Years to recover costIf Carissa Dalton has a $178, 000 home insured for $ 120, 000 , based on the 80 percent coinsurance provision , how much would the insurance company pay on a $12. 000 claim ?" ( Do not round intermediate calculations . Round your answer to 2 decimal places . ) Amount paid