Ms.Lombardi is a famous motivational speaker. She travels across the country by jet and gives an average of seven presentations a week. She gives her speeches in auditoriums that are always full and hold an average of 2500 people each. She charges $30 per person at each of these speeches. Her average expenses for each​presentation, including renting the​ auditorium, are about ​$15,000. The cost of​ meals, motels, jet​ travel, and support personnel total ​$75,000 per week. How many weeks will Ms.Lombardi need to travel if she wants to earn ​$690,000 per​ year?

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