Answer:
Approximately 107years
Explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million