Answer:
System of equations:
Augmented matrix:
![\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C2%261%261%266%5C%5C1%261%263%266%5Cend%7Barray%7D%5Cright%5D)
Reduced Row Echelon matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%261%261%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Convert the system into an augmented matrix:
For notation, R_n is the new nth row and r_n the unchanged one.
1. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%26-3%26-3%26-6%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
2. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
3. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%262%262%5Cend%7Barray%7D%5Cright%5D)
4. Operations:
Resulting matrix:
Answer:
the compounded monthly formula is
total = principal * ( 1 + (rate / 12)) ^ 12*2 years
total = $800.00 * (1 + .06 / 12) ^ 24
total = $800.00 * (1.005) ^ 24
total = $800.00 * 1.1271597762
total = $901.7278209643
total = 901.73 (rounded)
Step-by-step explanation:
592,722 is the correct answer
Answer:
Step-by-step explanation:
<u>The interior and exterior angles are supplementary:</u>
- A + 108° = 180°
- A = 180° - 108°
- A = 72°
Volume of a Cylinder (Drum) = πr²h
Substitute the known values,
v = 3.14 * (1.2)² * 4
v = 18.09 Ft³
Now, price for 1 Ft³ = $22
So, for 18.09 Ft³ would be: 22 * 18.09 = $397.9
In short, Your Answer would be: $397.9
Hope this helps!
