Step-by-step explanation:
y =kx(where k is constant)
18 = 6k
divide both side by 6
k = 6
The relationship between x and y
y = kx
y =3x
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years
Rose investment
A=2,600×(1+0.041×9)
A=3,559.4
Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6
So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8
Hope it helps!
We have been given an equation of hyperbola
. We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form
, where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:

Now we can see that value of k is
. Therefore, the vertex of given hyperbola will be at point
and option D is the correct choice.

Divide both sides by
:

Substitute
, so that
.

Multiply both sides by
:

The left side can be condensed into the derivative of a product.

Integrate both sides to get

Solve for
:

Solve for
:

![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
5x +y = 6
5x + 3y = -4
multiply top equation by -1 and bottom by 1
-5x -y = -6
5x+3y = -4
solve and get
2y = -10
y = -10/2
y = -5
answer is -5