The maintenance and operations costs for a piece of equipment are estimated to be $$800$ the first month and increase by $$30$ per month over the equipment's $3$ year life. For budgeting purposes, the owner wants to set aside a uniform amount each month to cover the maintenance and operations costs of the equipment. If the owner can invest at $5\%$ per year, compounded monthly, what amount should he invest each month? Express your answer in $ to the nearest $$10.$