There is no real easy way to answer that. However in terms of the washer, you are not talking about a lot.

Compared to a front loader, you could use 1-2000 more gallons of water per year…which averages $1.50 per 1000 gallons…so $3!

In terms of electricity…it varies GREATLY depending on when you use them, how you use them, how your water heater is step etc…but realistically you are probably MAX of $50/year more. And its probably more like half that number.

The dryer is tricky. Average cost per load is quoted as .15c to .30c per load normally…so assuming the other alternate is the BEST and speed queen is the WORST…you are talking about $15/year based on your usage.

The expense issue with appliances is whether their purchase cost (plus imputed interest on the cost over the appliance lifetime) divided by hours of operation before failure can get below the cost per hour of the electricity used when operating. One hopes, with the relatively industrial Speed Queen, that the washer will last long enough to achieve this. I think induction cook tops are iffy in this regard, but it is early yet. 1930's SO2-refrigerant "ice boxes" could manage this, but modern refrigerators may cost more than the power that they use in their lifetime.

kas

I bought a Speed Queen 3/31. My water bills are no higher than they were before getting the SQ. I did not buy the dryer so can't speak to that. BTW i wash 10-12 loads a week.

I have a front loader SQ since 2012. SQ recommends HE detergent so I use Tide HE, carefully measuring to line 2 (no small feat with the liquid) and care to quantity of load. I've moved my gas water heater temp up a tad, as then the first water out of hot is warmer. Also wastes less water in general. I rarely select the extra rinse but do occasionally when I do a regular, not bulky, and big load of all whites with Tide HE at level 3, to ensure no residue.

the difference between an energy star unit and one that is not energy star can be as little as 1 cent.
An example would be if a product must consume 50 cents or less to get an energy star label this means a unit that uses 51 cents would not get an energy star rating.

I don't know how the energy star ratings work BUT it wouldn't surprise me if some of them are because the machine OFFERS A HOT WASH.