Under California law, the washer is the property of the landlord/owner and as such, he/she is responsible for their maintenance
and repair, unless you misuse or otherwise cause the damage through conduct which goes beyond average use. Since this is an old machine, after years of normal use, typical wear and tear causes appliances to fail, and it is the landlord who is financially responsible for your appliance's repair or replacement.
Remember the landlord owns it, and you are only paying him/her to use those items under your lease. Under the law, if you can't use the washer, your rent should be reduced because your housing
services have been decreased.
Remember, the management company is acting on behalf of the landlord and all the above applies to the
management company who is acting as the landlord’s agent. You also have an argument that if the landlord denies
the repair and asks you to buy a new appliance then you can get a monthly rent reduction because now YOU are
now responsible for the replacing the washer and the cost shou ld be passed on to the landlord.
I hope this helps.