A company’s cash position, measured in millions of dollars, and denoted by (Xt) follows an arithmetic Brownian motion with dynamics dXₜ = αdt + σdWt along with the drift rate of α = 1.2 per annum and variance rate of σ2 = 1.92 per annum. The initial cash position is X₀ = 2.
(a) What are the probability distributions of the cash position at the end of 1 month, 1 year and 3 years?
(b) What are the probabilities of a negative cash position at the end of 1 month, 1 year and 3 years?

answer: i would say b

step-by-step explanation:

with the way the question is worded, i believe b is the answer

the cost of the apple depends on the weight

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the answer is 31.27mph

i believe the answer is the polygon, heptagon.