The population P of a city is given by
P= 240, 360e^0.012t
Where t=0 represents 1990. According to this model, when will the population reach 275,000?

The population P of a city is given by
P= 240, 360e^0.012t
Where t=0 represents 1990. According to this model, when will the population reach 275,000?

@Mathematics

Question

The population P of a city is given by 
P= 240, 360e^0.012t
Where t=0 represents 1990. According to this model, when will the population reach 275,000?

@Mathematics

anonymous · Answer

Dria, can you rewrite the model? Its confuse...

anonymous · Answer

$$P= 240,360e ^{0.012t}$$
where t= 0 represents 1990.
According to this model, when will the population reach 275,000?

anonymous · Answer

make 

275000 = 240360e^(0.012t)

275000/2403600=e^(0.012t)

take the neperian log

0.134633=0.012t

t=11.2194