Let x be the volume (liters) of pure (at 100%) acid needed
Let y be the volume (liters) of the other acid (at 10%) needed
The final solution will be:
a) x+ y = 63 liters, AND their respective concentration in acid: is
100% x & 10% :y that will generate 63 liters at 20%
b) x +0.1 y = 63x 0.2 = 12.6
Let's solve this system of 2 equations:
x + y =63
x + 0.1 y = 12.6
Solving it will give you:
x= 7 liters at 100%
y = 56 liters at 10%
Rs 100 of the average total cost is made up of variable costs.
Step-by-step explanation:
Given:
Number of output the firm produces= 7 units
Average cost of the output= Rs. 150
fixed factors of production = Rs.350
To Find:
How much of the average total cost is made up of variable costs=?
Solution:
we know that,
Average total cost= total cost/ number of output units produced
substituting the values, we get

Total cost= 1050
we know that Total fixed cost = 350
Total cost = Total fixed cost + Total variable cost
plug in the known values.
1050= 350 + Total variable cost
Total variable cost = 1050-350
Total variable cost =700
For 7th unit
= 100
Answer: fourth option
Explanation:1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
Answer:
2^5 =32
25=2x2x2x2x2
=32
Step-by-step explanation:
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