The unit price of a certain commodity evolves randomly from day to day with a general downward drift but with an occasional upward jump when some unforeseen event excites the markets. long term records suggest that, independently of the past, the daily price increases by a dollar with probability o.45, declines by 2 dollars with probability o.5, but jumps up by 10 dollars with probability o. o5. let co be the price today and cn the price n days into the future. how does the probability p(cn > co) behave as n-> oo?

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60