Question 87053
A) After how many years will the population reach 2500? Round to the nearest tenth.
P(t) = 500e^0.22t
2500 = 500e^0.22t
5 = e^0.22t
ln( 5 ) = ln( e^0.22t )
ln( 5 ) = 0.22t 
ln( 5 )/0.22 = t
log( 5 ) / ( 0.22*log( e ) ) = t
About 7.3 years
B)What is the population after 2 and a half years. Round to the nearest whole number.
t = 2.5 would be true