Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
Month_1 Value = Month_0 Value * 0.95
Month_2 Value = Month_1 Value * 0.95 = Moth_0 Value * 0.95*0.95 = Month_0 Value * 0.95^2
Month _n Value = Month_0 Value * (0.95)^n
After 2 years ==> n = 24
Month_24 Value = Month_0 Value * (0.95)^24 = 2,000,000 *(0.95)^24 = 583,978.05
A rule you can use to find the answer to #10 is adding a layer of pennies around each edge
