1. The cost of a hectare of land is believed to be A(2.7)^(kt) in dollars, where t is the number of years, And A and k are constants. After 3 years the value of the land is $112 486 and after 7 years it is $131 593

Find the values of A and k.

2. The number of particles of ash deposited up a chimney is given by log(base 10)N = (Alog(base 10)h) + (log(base 10)k), where N is the number of particles, h is the height of the chimney, and A and k ar constants. At a height of 1 metre, the number of particles deposited is 1000. At a height of 5 metres the number of particles deposited is 25 000. Find the height of a chimney if 100 000 particles are depositied.

3. The population p of a species of creatures after t years is given by ((6(3)^t)-2) / ((2(3)^t)+5) where p is measured in millions What size does the population get close to as the years pass?

If you can only do/only have time for one questions thats fine. Also i'm new to this so could you please fully explain and show lots of working. Thanks so much!