Answer:
Two points, one at 4 and one at 6.
Step-by-step explanation:
<u>Equations with absolute value
</u>
The absolute value of a number x denoted as |x| is a number with the same magnitude with a positive sign. When we know the result of an absolute value, we cannot know if the original number is positive or negative.
If |x| = a, a>=0, then x=a or x=-a
The equation to solve is |x – 5| = 1. If we apply the above criteria, then
x-5=1 or x-5=-1
Which gives us two possible solutions for x
x=6
x=4
The correct answer is
Two points, one at 4 and one at 6.
Given:
P = $22,000, the principal
r = 7% =0.07, the rate
n = 1, annual compounding
t = 3 years
The value after 3 years is
![A=P(1+ \frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
That is,
A = 22000(1.07)³ = $26,950.95
Interest earned = $26,950.95 - $22,000 = $4,950.95
Answer: $4,950.95
Answer:
The correct option is B.
Step-by-step explanation:
The given function is
![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
The new function is
![g(x)=-\frac{1}{2}f(x)](https://tex.z-dn.net/?f=g%28x%29%3D-%5Cfrac%7B1%7D%7B2%7Df%28x%29)
.... (1)
It is in the form of
.... (2)
Where, m is a constant.
If m is negative, then there is a vertical reflection over x-axis. If the constant is greater than 1, we get a vertical stretch and if the constant is between 0 and 1, we get a vertical compression.
From (1) and (2), we get
![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
Since the value of m is negative and absolute value of m is between 0 and 1, therefore the graph g(x) shows the vertical reflection over x-axis and vertical compression.
Option B is correct.
Answer:
First, Alice knows that Bob is not the highest paid of the three, then Cecil is. Means Bob can be at the second place or the third place.
Second, she knows that if Cecil is not the lowest paid then Danny is paid the most.
Here we get that Danny is the highest paid and Cecil is not the least paid so she must be at the second place.
Hence, Danny is at the first place or highest paid. Cecil is the second one.
And Bob is the lowest paid.