Analyzing exponential word problems

Every time Pinocchio lies his nose grows 20%. The growth of his nose can be modeled by $$n\left(t\right)=2\left(1+.2\right)^t$$  . What was the length of his nose originally?

Scrooge invests in a bank account that pays him 4% interest annually. This can be modeled by $$p\left(t\right)=500\left(1.04\right)^t$$  . How much money did he place in the bank at the beginning of the account?

Jiminy Cricket is in the yard when it starts to rain. As more rain falls, Jiminy can't jump as far. This can be modeled by $$3\left(\frac{1}{2}\right)^t$$  . How far away from the house was Jiminy when the rain began?

Due to a severe drought, a population of lions is decreasing at a rate of 3.5% per year. This can be modeled by $$L\left(t\right)=80\left(1.035\right)^t$$  . How many lions were in the area when the drought started?

Rapunzel's hair grew 16% each week she was in the tower. If her hair was 20 inches long when she was placed in the tower, what is a model for the growth of Rapunzel's hair?

If Jack's Bean stalk grew 75% every hour and the bean stalk was 2 foot when he started watching it grow, what is a model for the growth of the bean stalk?

If the wolf blew down 36% of the little pig's house each time he puffed and blew, and the house started at 35 feet high, what is a model for how high the house is with each huff and puff?

Which is the same as $$300\left(1-.17\right)^t$$  

Which is the same as $$200\left(1-.76\right)^t$$  

Which is the same as $$2050\left(1-.96\right)^t$$