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
The 4 is in the thousands place and looking to the right of the 4 is a 5. The rule is less than 4 leave it the same; 5 or more add 1 to the number.
So the answer would be 65,000.
The correct answer to this question is A; <span>A is students who like country music only, B is students who like both country and rap music, and C is students who like rap music only</span>
Answer:
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest is $ 1742.4
Step-by-step explanation:
The Principal deposited at the end of each year = $ 4000
The rate of interest = 7.5 % compounded annually
The time period = 5 years
From compounded method :
Amount = principal ×
or, Amount = $ 4000 ×
Or, Amount = $ 4000 ×
or, Amount = $ 4000 × 1.4356
∴ Amount = $ 5742.4
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest = Amount - principal
Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer
Or 2 times 2 times 2 times 2 times 2 times 2 times 2
So, 2^6 is:
64
Now, 7^4 is:
2,401
Hope it helps!