Thereupon the board with the approval of the board of estimate and of the mayor, shall have power to, and, if in their judgment the interests of the public so require, after publishing a notice at least one week in advance in the City Record and in such other newspapers published in such city as such board of estimate with the approval of the mayor, shall designate as sufficient, stating the time, place and subjects to be considered, and after a joint hearing, pursuant to such notice by and before the board of transportation and the board of estimate, which may be adjourned from time to time, in accordance with the charter, code, and laws aforesaid, they shall fix and determine the boundaries of the district upon which such assessment shall be levied, the whole amount or proportion of any such cost and expense to be assessed upon property benefited by such improvement, and the amount or proportion of such whole assessment to be levied in such district benefited by such improvement, and take such other and further proceedings as shall be necessary to levy and collect such assessment. Such decision of the board of transportation so approved by the board of estimate and the mayor, shall be final as to each matter so fixed and determined and shall not be subject to review.
In case an assessment is made separately for the cost and expense incurred or to be incurred for the acquisition of any property for the construction or operation of any such railroad, the money derived from the sale of such obligations, and all moneys derived from the collection of such assessment shall be applied only to pay or reimburse the cost and expense of acquisition of the property for which such assessment was made or to the retirement of the obligations issued in advance of the collection of such assessment.
N.Y. Rapid Trans. Law § 34