Im not sure about the given data but I plotted the scatter plot based on what I understand on how the data should be presented.
Time (years)
3, 6, 9, 12, 15, 18, 21, 24
Number of participants(x1000)
22, 25, 28, 14, 17, 20,15, 9
Attached is the scatter plot created online.
x = time (years)
y = number of participantep explanation
First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):
Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:
Answer:
y< 5/6 - 7
Step-by-step explanation:
First, you have to send 5x to the other side so youĺl -5x and the equation will be -6y>-5x+42
Then, you divide the equation on the left side by -6 because youll want y by itself. Remember, when you divide by a negative, you flip the greater than/equal to sign. itll now be y<-5/6 - 7
done
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
In this question:
Over the interval [-9,-2], so 
The function is:
Then
The average rate of change of the function over the interval is of 6.
Answer:
$265.65
Step-by-step explanation:
Given :
WACC: 9.00%
Year 0 1 2 3 Cash flows (-$1,000) $500 $500 $500
The NPV is calculated thus :
Initial cashflow + Σ additional cash flows / (1 + r)
Rate, r = 9% = 0.09
(1 + r) = (1 + 0.09) = 1.09
NPV = - 1000 + (500 / (1.09)¹ + (500 / 1.09)² + (500 / (1.09)³
NPV = - 1000 + 458.71559 + 420.83999 + 386.09174
NPV = 265.64732
NPV = 265.65 (2 DECIMAL PLACES)
