25,000 - 8,500 = 16,500
16,500 :1250 = 13 years and 2 months
Take 4.95 and divide it into 2 and you will get ur answer of 2.475
1. 12*100 - 12*5
You would use the distributive property to get this equation (it is equivalent to the original one)
2. Um... There's no actual story for this problem; sorry I can't solve this problem
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
I just graphed the table next to the graph of g and compared the two.
The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.
Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.
