The image is not attached with, but by reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square. That is the region between the two squares is the blue region.
We know the dimensions of both squares, using which we can find the area of both squares. Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.
Area of larger square = 8 x 8 = 64 in²
Area of smaller square = 2 x 2 = 4 in²
Area of blue region = 64 - 4 = 60 in²
The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available
Therefore, the probability that a point chosen at random is in the blue region = 60/64 = 0.9375
Answer:
$ 6,189.18
Step-by-step explanation:
From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.
The formula for the Principal of a compound interest that is compounded continuously is given as:
P = A / e^rt
Where
P = Principal
A = Totally Amount after time t = $11,300
r = Interest rate = 4.3 % = 0.043
t = 14 years
P = $11,300/ e ^0.043 × 14
P = $ 6,189.18
Hence, Landon needs to invest, $ 6,189.18
Answer:
y = 0.5x - 5.5
Step-by-step explanation:
slope = 0.5, so this is the x coefficient.
y intercept = -2 - (7 x 0.5) = -5.5