Answer:
[tex]S(t) = 150(1.25)^{t}[/tex]
Step-by-step explanation:
I purchased a stock for $150 per share. The value of the stock has increased by 25% per year.
Therefore, the value of the stock is compounded each year at a rate of 25%.
Now, using the formula of compound interest, after t years the value of the stock will be given by
[tex]S(t) = 150(1 + \frac{25}{100})^{t} = 150(1.25)^{t}[/tex] (Answer)