i need help answering this equation

Question

write a function that represents a stock valued at $100 decreasing in value by 9.5% each year

Answer 1

A = P(1- r)^t A=value after t years, P= original amount at time t=0, r= annual rate of loss in value,

S(t) = 100(1-0.095)^t where S= stock value in dollars and t=number of years

S(t) = 100(0.905)^t

for t=0

S(0) = 100(0.905)^0 = 100(1) any number to the zero power = 1

in one year

S(1) = 100(0.905)^1 = 100(0.905) = $90.50 after losing $9.50 in value one year later

in two years:

S(2) = 100(0.905)^2 = 100(.819025)= $81.90, after losing 9.05^2 = $18.10 in two years

in three years:

S(3) = 100(0.905)^3 =

S(4) = 100(0.905)^4=

... etc.