Six less than seven times a number is equal to negative twenty.
2 answers:
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Answer:
Step-by-step explanation:
-
+
the LCD of the denominators is 168y , then
← distribute and simplify numerator
=
=
The distance between a point 
on the given plane and the point (0, 2, 4) is
but since
and 
share critical points, we can instead consider the problem of optimizing subject to 
.
The Lagrangian is
with partial derivatives (set equal to 0)
Solve for
:
which gives the critical point
We can confirm that this is a minimum by checking the Hessian matrix of:
is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
but since
The Lagrangian is
with partial derivatives (set equal to 0)
Solve for
which gives the critical point
We can confirm that this is a minimum by checking the Hessian matrix of
At this point, we get a distance from (0, 2, 4) of
Answer with Step-by-step explanation:
We are given that
If you earned upto $113,700 in 2013 from an employer then your security tax=6.2% of income
If you earned over $113,700 then, you paid amount of tax=$7049.40
We have to find the money you would have made when you paid $4000 in social security tax in 2013.
Let x be the income and f(x) be the amount of tax.
Substitute the values then we get
$64516.13
When you would have mad $64516.13 then you paid $4000 in social security tax in 2013.