Answer:
w = 
Step-by-step explanation:
We know that:
A = 1440
H = 32
So you need to work backwards to find base.
1440 / 32 = 45
We can check our work:
32 x 45 = 1440
B = 45
It cost $156.40 because 20% of 195.50 is $39.10 so you subtract that from the 195.50.
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
to 
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