Answer:
I believe the answer is $17,631.94
Step-by-step explanation:
12000(1.08)∧5=17,631.94
9514 1404 393
Answer:
1000
Step-by-step explanation:
The pattern is the sequence of cubes. The 10th cube is ...
10³ = 10·10·10 = 1000 . . . . 10th term of the pattern
_____
<em>Additional comment</em>
It is helpful to memorize the squares of integers 1-20 and the cubes of integers 1-10. Being able to recognize these numbers can save you a lot of time on problems like this.
<span>First of all, if there are at least 70 seats, there must be at least 9 rows. (9*8 =72, which is required to have minimum 70 seats).
And, maximum 150 seats are there, so 150/8 = 18.75, i.e. 18 rows can be there at maximum.
So, the actual number of rows can be between 9 and 18. We can say that possible number of rows can be 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18.</span>
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression....
"
-Sicista
Answer:
There are two possible options: 
or 
.
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
![P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20A%28x%2Cy%29%20%2B%20r%5Ccdot%20%5BB%28x%2Cy%29%20-%20A%28x%2Cy%29%5D)
(1)
Where:
- Point of origin.
- Point of destination.
- Partition factor.
Option 1: 
, 
, 
![P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%28-1%2C%20-%208%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%285%2C-2%29-%28-1%2C-8%29%5D)
Option 2: 
, 
,
![P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%285%2C-2%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%28-1%2C-8%29-%285%2C-2%29%5D)
There are two possible options: or .
