9514 1404 393
Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
Answer:
(x+3)(x-4)^2
Step-by-step explanation:
= (x+3)(x^3-5x^2-8x+48)/(x+3)
= x (x^3-5x^2-8x+48)/(x+3)
= x^2-8x+16
= (x+3)(x-4)(x-4)
= (x+3)(x-4)^2
Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function
at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
Answer:
First equation is the right answer.
X÷3=0.6
1.8÷3=0.6
0.6=0.6
Hence proved
Answer:
113.04
Step-by-step explanation:
formula for area is
pi times radius times radius
if the radius is 6,
do 6 times 6=36
36 times 3.14=113.04
