TUCSON, Ariz. — The urgent investigation into the apparent kidnapping of 84-year-old Nancy Guthrie continued Sunday, a week after the mother of “Today” show host Savannah Guthrie was reported missing in Arizona.

Savannah Guthrie solemnly told the potential kidnappers in a social media video released Saturday that the family was prepared to pay for her safe return. Flanked by her siblings, Guthrie said “we received your message” and that: “This is the only way we will have peace. This is very valuable to us, and we will pay.”

An FBI spokesman said Savannah Guthrie was referring to a message that was sent to the Tucson-based television station KOLD on Friday. The station declined to share details about the message’s contents as the FBI conducted its review.