A manufacturer estimates that she can sell a maximum of 195 thousand cell phones in a city. By advertising heavily, her total sales grow at a rate proportional to the distance below this upper limit.

If she enters a new market, and after 5 months her total sales are 34 thousand phones, find a formula for the total sales (in thousands)tmonths after entering the market, and use this to estimate the total sales at the end of the first year.

Total sales at end of the first year:________________________thousand phones

Give your answer to at least 1 decimal place.