By definition, the average rate of change is given by:

We evaluate each of the functions in the given interval.
We have then:
For f (x) = x ^ 2 + 3x:
Evaluating for x = -2:

Evaluating for x = 3:

Then, the AVR is:




For f (x) = 3x - 8:
Evaluating for x =4:

Evaluating for x = 5:

Then, the AVR is:



For f (x) = x ^ 2 - 2x:
Evaluating for x = -3:

Evaluating for x = 4:

Then, the AVR is:




For f (x) = x ^ 2 - 5:
Evaluating for x = -1:

Evaluating for x = 1:

Then, the AVR is:




Answer:
from the greatest to the least value based on the average rate of change in the specified interval:
f(x) = x^2 + 3x interval: [-2, 3]
f(x) = 3x - 8 interval: [4, 5]
f(x) = x^2 - 5 interval: [-1, 1]
f(x) = x^2 - 2x interval: [-3, 4]
Answer:
P(T) = 1/20 = 0.05
The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05
Step-by-step explanation:
The probability of randomly selecting an umbrella and a shaving kit in that order.
P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)
P(U) = 1/5 (1 umbrella out of five possible gifts)
P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)
P(T) = 1/5 × 1/4
P(T) = 1/20 = 0.05
Step-by-step explanation:
Put 1 on the far left and 4 on the far right.
Put. 2 the top and 3 at the bottom.
Put 5 in the centre.
There are 2 ways you can find to to make all the numbers add up to 5.
The number in the centre is the common anwser to the sums.
Answer:
a = 18/b²
Step-by-step explanation:
Step 1: Write equation
1/3ab² = 6
Step 2: Solve for <em>a</em>
- Multiply both sides by 3: ab² = 18
- Divide both sides by b²: a = 18/b²
If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%
Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.
We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.
Cost of debt (consider after tax)=10%(1-25%)
=10%*0.75
=0.075
Weight of equity=60/80
=0.75
Weight of debt=20/80
=0.25
Weighted average cost of capital=12%*0.75+0.075*0.25
=0.09+0.01875
=0.10875
=10.875%
Hence the weighted average cost of capital is 10.875%
Learn more about weighted average at brainly.com/question/18554478
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