The population of a city is modeled by the equation P(t)=274,857e^0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?

Round your answer to the nearest hundredth of a year (i.e. 2 decimal places).

The population will reach one million in ____________ years.

If you could please show work and explain as I want to compare to my own work..