Step-by-step explanation:
Let 
x
 be the kg of coffee of brand A in the mix and 
y
 be the kg of coffee of brand B in the mix.
The total kg must be 
50
.
x
+
y
=
50
The cost per kg of the mix must br 
$
7.20
. For this, the total cost of the mix will be 
6
x
+
8
y
, so the total cost per kg of the mix will be 
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by 
6
 to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need 
30
 kg of brand B in our mix. This means that 
50
−
30
=
20
 kg will be of brand A.
 
        
             
        
        
        
Answer:
-2
Step-by-step explanation:
Since we are adding 3 to the x-coordinate and subtracting 1 from the y-coordinate, (-5, 2) becomes (-2, 1).
 
        
                    
             
        
        
        
Answer : 254 ft sq
A = pi x r^2
A = 3.14 x 81
        
             
        
        
        
Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,

Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,



ln(2) = 0.06t
t = 
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
 
        
             
        
        
        
Some rational numbers are
2.71, 2.72, 2.73, 2.74, 2.75, 2.76, 2.77, 2.78, 2.79
2.711, 2.712 2.713....
2.721, 2.722, 2.723....
2.731....
I think you get the point! Hope this helped!