Can I deduct a vehicle lease for my business

What type of business entity and is the lease in the business's name or yours?

SMALL PLUMBLING CO  LEASE TRUCK WHAT IS DEDUCTABLE

You can claim deductible business auto/truck expenses in one of two ways.

• IRS Mileage Rate:  You can claim business miles times the IRS mileage rate. IRS mileage rates for business activities are $0.56/mile in 2014 and $.575/mile in 2015. You can add parking and tolls to the mileage rate.
• Actual Cost: You can claim your actual costs including depreciation (or, for a lease, lease payments) times the percentage that you use your car for business. Actual costs would include gas, oil, insurance, repairs, etc. Payments on a note would not be deductible. The cost of the vehicle would be deducted through depreciation instead (or lease deducting lease payments if you lease it.)

More than a comment, a further question: does the IRS mileage rate, $.575/mile for 2015, suppose to include depreciation?

Yes - it includes all costs except parking and tolls and, if you are a business, allocable interest on the car loan.