The register in the county where the court that administers an estate is located shall determine the inheritance tax that is due on any interest in property included in the estate when the personal representative of the decedent accounts for the distribution of the property. If there is no formal administration of an estate, the register in the county where the inventory required under § 7-225(c), (d), or (e) of this subtitle is to be filed shall: determine the inheritance tax that is due on any interest in property that passes from a decedent: when the inventory is filed; or if the inventory is not filed, when the appraisal is filed by the appraisers appointed under § 7-231 of this subtitle; and send a tax bill for the inheritance tax due to each person responsible for paying the tax. The register of the county where the inventory required under § 7-225 of this subtitle is filed shall determine the inheritance tax due on a subsequent interest in property that passes from a decedent.