Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval
will be given by the following equation:

In this problem, we have that:

Find the average rate of change in the balance over the interval t = 0 to t = 5.


Then

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Answer:
put 8/3
Step-by-step explanation:
Given

Answer:
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
Step-by-step explanation:
Given the inequality expression
x ≤ -2
The inequality symbol ' ≤ ' means 'less than or equal to'.
Thus,
x ≤ -2 means x is less than or equal to -2.
In other words,
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.