Answer:
-5/6
Step-by-step explanation:
-1 2/3=-5/3
-5/3+5/6=-10/6+5/6=-5/6
Answer:
Present Value = $1666666.67
Step-by-step explanation:
Present Value of a Growing Perpuity is calculated using the following formula
PV =D/(r - g)
Where D = Dividend
r = Discount Rate
g = Growth rate
D = $50,000
r = 7%
r = 7/100
r = 0.07
g = 4%
g = 4/100
g = 0.04
PV = D/(r-g)
Becomes
PV = $50,000/(0.07-0.04)
PV = $50,000/0.03
PV = $1,666,666.67
So the Present Value of the perpuity is $1,666,666.67
The Q30X program and the Intensity program are both effective because the average participant 1-mile run time was reduced for each program, but the Intensity program is the more effective program because it yielded a greater decrease in the average participant 1-mile run time.
To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)
From the graph
f(2) = 4
f(-2) = 4
Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0
The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.
First, let's construct an algebraic equation to formally find the answer:
Let x represent (the value of) the unknown number.
x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.
Now we can solve for x (the number):
x² = 5x + 24
x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
x = -3, 8
Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!
