SOLUTION: The exponential model A = 993.9e^0.006t describes the population A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The exponential model A = 993.9e^0.006t describes the population A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will      Log On


   



Question 293348: The exponential model A = 993.9e^0.006t describes the population A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1037 million.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The exponential model A = 993.9e^0.006t describes the population A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1037 million.
.
A = 993.9e^0.006t
1037 = 993.9e^0.006t
1037/993.9 = e^0.006t
ln(1037/993.9) = 0.006t
ln(1037/993.9)/0.006 = t
7.075 years = t
.
2003+ 7 = 2010