Answer:
a) 395.725
b) 378.75
c) 8.8
Step-by-step explanation:
a) S(8.5) = 11.25(8.5) + 300 = 395.625
b) if she worked 47 hrs, that means there were 7 overtime, h=7 and we have to find S(7).
S(7) = 11.25(7) + 300 = 378.75
c) her salary was 398.61, that means S(h) = 398.61 and we have to find h.
398.61 = 11.25(h) + 300
98.61 = 11.25(h)
h = 98.61 / 11.25
h= 8.8
Answer: no solution
Step-by-step explanation:
He will mix some 20% solution and some 70% solution to make 60% solution.
Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.
He wants to make 50 liters of 60% solution, so
x + y = 50 First Equation
The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30 Second Equation
x + y = 50
0.2x + 0.7y = 30
-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
0.5y = 20
y = 40
x + y = 50
x + 40 = 50
x = 10
Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
Answer:
9/16
Step-by-step explanation:
Derivative rule:
Here, n=-1, so
Evaluating this at x=-4 gives 9/16
