7 pls pls pls help meeee!

Which problem can be solved using this equation?

nekit [7.7K]

The 3rd answer, when m is next to a number it means “per” for something like per second or (in this case) per minute, etc...

6 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

(c) $p_{*} =88\\\\q_{*} =1500$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class

expeople1 [14]

Answer:

Ok... what's the question

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Haley solving this problem by combining like terms 3x +5x=10

GaryK [48]

Answer:

x = 5/4

Step-by-step explanation:

By combining like terms, you get 8x = 10.

Divide the 8 on both sides of the equation.

x = 10/8

This, however, can be simplified by dividing by 2. This ultimately gives us 5/4.

5 0

3 years ago

Read 2 more answers

If the points (–2, –1), (–1, 0), (2, 3), and (–3, –2) are joined to form a straight line, at what point does the line intersect

Snowcat [4.5K]

Answer:

0

Step-by-step explanation:

Pick 2 points and use the slope formula

(–1, 0), (2, 3)

Slope =(y2−y1)/(x2−x1)

(3−0)(2−−1)

3/3

1

y=1x

Hope this helps! Plz award Brainliest : )

5 0

2 years ago