A forest has 800800800800 pine trees, but a disease is introduced that kills 14\dfrac{1}{4}41start fraction, 1, divided by, 4, end fraction of the pine trees in the forest every year. Write a function that gives the number of pine trees remaining P(t)P(t)P(t)P, left parenthesis, t, right parenthesis in the forest years after the disease is introduced.