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2 years ago

1/8 (3d-2) = 1/4 (d+5)

1 answer:

tatiyna2 years ago

8 0

OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps! :)

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Revenue

denis23 [38]

Answer:

Step-by-step explanation:

Given that a small business assumes that the demand function for one of its new products can be modeled by

$p=ce^{kx}$

Substitute the given values for p and x to get two equations in c and k

$40 = ce^{1200k} \\45 = ce^{1000k}$

Dividing on by other we get

$\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589$

Substitute value of k in any one equation

$45 = ce^{-0.589} \\c=45.02651$

b) Revenue of the product is demand and price

i.e. R(x) = p*x = $45.02651xe^{-0.000589x}$

Use Calculus derivative test to find max Revenue

R'(x) = $45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\$

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0

3 years ago

Roland bought a dresser for k dollars. After restoring it, he sold it for 3.1k dollars. Which is another way to describe the cha

xxMikexx [17]

Answer: 210 percent increase

Step-by-step explanation: So w know the starting value is k so we can replace it with 1 dollar

now we know he bought the dresser for 1 dollar and sold it for 3.10 dollars

First we have to subtract the starting value 3.1 - the original value

3.1 - 1 = 2.1

then we have to divide that number by the starting value

2.1 divided by 1 = 2.1

Lastly multiply times 100 to get the percent increase

2.1 x 100 = 210 % increase

hope this helps mark me brainliest if it helped

6 0

3 years ago

HELPPP FOR EXTRA POINTSSSSSSS!

larisa86 [58]

Answer:

Step-by-step explanation:

8 0

2 years ago

A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit

Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

$P_{x}$ = 2 , $P_{y}$ = 4

Now,

Budget constraint -

$P_{x}$ x + $P_{y}$ y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2 ........(1)

100x + 2 = 4 .........(2)

Divide equation (2) to equation (1) , we get

$\frac{100y + 1}{100x + 2} = \frac{1}{2}$

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = $\frac{250}{2}$ = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

= 3125000 + 250 + 250

= 3125000 + 500

= 3125500

⇒u(250, 125) = 3125500

3 0

3 years ago

What is the value of x in the equation 2x – 3 = 9 – 4x?

strojnjashka [21]

Move the 4x over to the left side and get:
6x - 3 = 9

Then move the 3 over to the right....
6x = 12

Divide by 6

x = 2

5 0

3 years ago

Read 2 more answers