Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4
![\frac{4w}{4}=\frac{16}{4}\\w=4](https://tex.z-dn.net/?f=%5Cfrac%7B4w%7D%7B4%7D%3D%5Cfrac%7B16%7D%7B4%7D%5C%5Cw%3D4)
Hence,
Width of the garden box = 4 feet
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Part 1
<span>(1,2) (3,4) (5,6), (-2,5) (-.6,7)} </span>
<span>This relation IS a function because none of the ordered pairs have the same first number. </span>
<span>Part 2 </span>
<span>{(1, 2), (1, 4), (3, 5)}. This relation is NOT a function because there are two ordered pairs, (1, 2) and (1, 4) with the same first element but different second elements. In other words, for the same inputs we must have the same outputs.</span>
Given:
The sequence is:
-15,-10,-4, 3, 11, ______
To find:
The next number.
Solution:
We have,
-15,-10,-4, 3, 11, ______
Here, the difference between two consecutive terms are:
![-10-(-15)=-10+15](https://tex.z-dn.net/?f=-10-%28-15%29%3D-10%2B15)
![-10-(-15)=5](https://tex.z-dn.net/?f=-10-%28-15%29%3D5)
Similarly,
![-4-(-10)=6](https://tex.z-dn.net/?f=-4-%28-10%29%3D6)
![3-(-4)=7](https://tex.z-dn.net/?f=3-%28-4%29%3D7)
![11-3=8](https://tex.z-dn.net/?f=11-3%3D8)
It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.
Let the next number be x. Then,
![x-11=9](https://tex.z-dn.net/?f=x-11%3D9)
![x=9+11](https://tex.z-dn.net/?f=x%3D9%2B11)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Therefore, the next number of the sequence is 20.
Answer:
![\boxed{\$5300}](https://tex.z-dn.net/?f=%5Cboxed%7B%5C%245300%7D)
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
... A = P(1 +rt) = $4000(1 + 0.065·5) = $5300
Answer:
130
Step-by-step explanation:
65/50*100= 130