For the next two questions consider the three main sequence stars a, b, and c below. star a will be a main sequence star for 10 billion years, star b has half the luminosity of the sun, star c has a spectral type of b5. assuming that all three stars formed at the same time, which one will leave the main sequence first?

their crystal patterns have been disrupted by stress

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.