Answer: $911.60
Step-by-step explanation: 860 time 6% is 911.60
The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
In 2000 Emily was 9 years old.
Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:
- 2015 = E = 3K
- 2021 = E = 2K
- 24 /// 8 --- 30 /// 14
- 18 /// 6 --- 24 /// 12
- 18/6 = 3
- 24/12 = 2
- 2015 = Emily was 24 years old
- 24 - (2015 - 2000) = X
- 24 - 15 = X
- 9 = X
Therefore, in 2000 Emily was 9 years old.
Learn more in brainly.com/question/20025195
D. None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees. Hope this helps.
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