Answer:
340 children, 210 adults.
Step-by-step explanation:

Answer: 
Step-by-step explanation:





Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.
1) The amount M 1 IS $20 increases by 10% = 10 % *(20) + 20 = 22
2) The amount M1 decreases by 10% = 22- (10%*22) = $ 19,8 IS THE AMOUNT that i earn each week
Answer:
For k = 6 or k = -6, the equation will have exactly one solution.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the equation has only one solution.
In this problem, we have that:

So




We will only have one solution if
. So





For k = 6 or k = -6, the equation will have exactly one solution.