Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.
Answer:Let P = initial investment
r = annual interest rate (decimal form)
t = number of years
A(t) = amount after t years
Then, A(t) = Pert
A(12.5) = 800e(0.0265)(12.5)
= 800e0.33125
= $1114.17
Step-by-step explanation:
Answer:
the answer is 60 inches
Step-by-step explanation:
you have to subtract the perimeter and the numbers that are shown after you add them
238-118= 120 then you have to divide that in half wich =60.
so (A)= to 60 inches.
Answer: 0.19
Step-by-step explanation: Rounding to the nearest cent is the same as rounding to the nearest hundredth
We model the ticket as a rectangle.
For this case what you should know is that the perimeter of the rectangle is given by:
P = 2w + 2l
The area of the rectangle is given by:
A = w * l
In both cases:
w: width
l: long
We have the following system of equations:
32 = 2w + 2l
60 = w * l
Solving the system we obtain:
The dimensions of the ticket are:
(10 cm) * (6 cm)
Answer: the dimensions of the ticket are: (10 cm) * (6 cm) Note: see attached image for system solution