The builder reports that the walls will collapse in the first year from by [[$ 1 \% $]] and in during each subsequent year by [[$ 60 \% $]] from the previous year. Can a [[$ 262 $]] cm high cabinet be safely put in a room that is [[$ 270 $]] cm high in a newly completed building? (Source: Finnish matriculation exam, autumn 1998)



Answer: The cabinet can be can't be placed in the room.