In 2035,scientists inevnt a new machine. This machine has two functions.One is to count the number of hairs on a person's head. The other funchion is to predict the number of hairs of a person in the future. On the first day of 2036,Mr p**n uses the machine to check that he has 12x105 hairs.p%og his hairs shed and 5x103 new hairs grow out every year. The machine shows that he will have 9.595x104 hais on the first day of 2038
questions:
1.Express, in term of p, the number of hairs on Mr P**n's head on the first day of 2037
2.Finf the value of P
3.Express, in term of n, the number of hairs on Mr P**n's head of the nth year after 2036
4.on the first day of which year will Mr P**n have fewer than 4x104 hairs?
5.Mr p**n wants to keep his hairs as many as possible.Thus he goes to see a doctor on the first day of 2036.The doctor suggectes he use a new brand of shampoo called "The king of Shampoo". Once he starts to use this product, the number of hairs on the first day of the nth year after 2036 will be 100000+260000(0.85)n. The doctor claims that if P**n use his product, the number of hairs on his head will be triple the number when he does not use it .Is the doctor correct?Show yours steps.
