All categories

3 years ago

Given a profited firm, depreciation

Mathematics

1 answer:

Kipish [7]3 years ago

4 0

Answer and Explanation:

Economics I see,

Well,

Given a profitable firm, depreciation: taxes are lowered.

You might be interested in

Which is larger?

lisov135 [29]

Answer:

The first equation is equal to 15 and the second one is equal to 16 . So the second equation is bigger.

4 0

3 years ago

Read 2 more answers

Why is 1/6 greater than 1/8 but less than 1/3?

morpeh [17]

This is true because the denominator is greater than 3 so the fraction is smaller and 8 is greater than 6 so 1/8 is smaller

8 0

3 years ago

What is the solution of square root 1-3x = x+3

hram777 [196]

Answer:

Step-by-step explanation:

I hope the given equation is :

First step to solve this equation to remove square root from the left side. So, take square on each sides of the equation. Therefore,

1 - 3x = (x + 3)²

1 - 3x = (x + 3)*(x + 3) Since a² = a * a

1 - 3x = x² + 3x + 3x + 3² By multiplication.

1 - 3x = x² + 6x + 9 Combine the like terms.

x² + 6x + 9 - 1 + 3x = 0 Subtract 1 and add 3x from each sides of equation

x² + 9x + 8 = 0 Combine the like terms.

Next step is to factor the trinomial to solve the above equation for x.

For that break downn the constant 8 into two multiples so that the addition of the multiples will result the coefficient of x = 9.

So, 8 = 1 * 8

Addition of 1 and 8 will give 9. So, next step is to replace 9x with 1x + 8x. So,

x² + 1x + 8x + 8 = 0

(x² + 1x) + (8x + 8) = 0 Group the terms.

x ( x + 1) + 8 (x + 1 ) = 0 Take out the common factor from each group.

(x +1 ) ( x + 8 ) = 0 Take out the common factor (x + 1).

So, x + 1 = 0 and x + 8 = 0 Set up each factor equal to 0.

Hence, x = -1 and - 8.

Next step is to plug in -1 and -8 in the original equation to cross check the solutions.

For x = -1,

Simplify each sides separately.

2 = 2

2 = 2 is correct. So, x = -1 satisfy the equation

Hence, x = -1 is the real solution of the given equation.

Similarly let's plug in x = -8 now. So,

Simplify each sides separately.

5 = 2

5 = 2 is not true. So, x = -8 is the extraneous solution.

Therefore, the only solution is x = -1.

Hence, the correct choice is C.

Hope this helps you!

5 0

4 years ago

Read 2 more answers

How to find the scale factor, ratio of area, & ratio of volume?

Andreas93 [3]

Step-by-step explanation:

If the scale factor of two similar solids is a: b:. then

(1) the ratio of corresponding perimeters is a:b

(2) the ratio of the base areas, of the lateral areas, and of the total areas is $a^2: b^2$

(3) the ratio of the volumes is $a^3:b^3$

3 0

4 years ago

Find a point on the curve y= x^2 that is closest to the point (18, 0).? Find a point on the curve y= x^2 that is closest to the

Phoenix [80]

You're trying to minimize the distance between the point $(18,0)$ and an arbitrary point on the curve, $(x,y)=(x,x^2)$ .

The distance between two such points is given by the function

$d(x)=\sqrt{(x-18)^2+(x^2-0)^2}=\sqrt{x^4+x^2-36x+324}$

so this is the function whose derivative you should check.

But before you do that, it's helpful to know that $d(x)$ is minimized at the same point as the modified distance function $d^*(x)=d^2(x)=x^4+x^2-36x+324$ .

Differentiating, you have

$\frac{\mathrm d}{\mathrm dx}d^*(x)=4x^3+2x-36$

Set this to zero and solve for the critical points.

$4x^3+2x-36=2(2x^3+x-18)=0$

You can use the rational root theorem to find some potential candidates for roots to the cubic. The constant term has factors $\pm1,\pm2,\pm3,\pm6,\pm9,\pm18$ , while the leading coefficient has factors $\pm1,\pm2$ . The only candidates for rational roots are $\pm1,\pm\dfrac12,\pm2,\pm3,\pm\dfrac32,\pm6,\pm9,\pm\dfrac92,\pm18$ . The only one of these that works is $2$ , so $x=2$ is a root to the cubic above.

Polynomial division reveals that we can factor the cubic as

$2(x-2)(2x^2+4x+9)=0$

which has only one real root at $x=2$ . Checking the value of the derivative of $d^*$ to the left and right of this point confirms that a minimum occurs here.

Therefore the closest point on the curve to $(18,0)$ is $(2,4)$ .

6 0

3 years ago