In quadrant III, cosine is <u>negative</u>
In quadrant III, sine is <u>negative</u>
x^2+y^2 = 1 represents the unit circle. This is a circle centered at the origin with radius 1. The point (x,y) is on the unit circle where x = cos(theta) and y = sin(theta)
If theta is between 180 and 270 degrees, then
x = cos(theta) leads to -1 < x < 0, ie x is some negative number between -1 and 0
y = sin(theta) leads to -1 < y < 0, so y has similar properties to x above.
Because we don't know what value theta is exactly, we can only comment on the fact that each result is positive or negative.
The four quadrants are set up where quadrant 1 is in the upper right corner. Then you move counter-clockwise to sweep through the other quadrants 2 through 4.
Answer:
y = 2x(x - 21)
Step-by-step explanation:
The given quadratic function y = -40x + 2x^2 - 2x
This can be rearranged as
y = 2x^2 - 2x - 40x
Here the Greatest Common Factor is 2x, we can take it out and write the remaining term in parenthesis.
y = 2x(x - 1 -20)
y = 2x(x - 21)
That's the answer.
Hope this will helpful.
Thank you.
Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A= $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get
Taking natural log on both the sides , we get
Hence, the annual interest rate = 13.29%
