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$If$ the homeowner's policy covers $45\%of$ the replacement cost and the actual cash value $of$ the loss $is$ $$16,000,$ what would $be$ the amount $of$ recovery $if$ the repair costs amount $to$ $$24,000?$

Actual cash value: $$16,000$

Repair costs: $$24,000$

Coverage percentage: $45\%$

Replacement cost: $?$

Amount $of$ recovery: $?$