Answer:

Step-by-step explanation:

Distribute the brackets.


Add
on both sides.



Divide
on both sides.


A+5=6
Subtract 5 from both sides
A+5-5=6-5
A=1
Hope that helps
<span>I = 1832 </span>
<span>P = 16000 </span>
<span>T = 206/365 years </span>
<span>Rate of interest = [100*I] / [P*T] </span>
<span>= [100*1832] / [16000*206/365] </span>
<span>= 20.29% per annum</span>
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.