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3 years ago

What is 0.04% of 30? Round to the nearest hundredth

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

0.012

Step-by-step explanation:

Have a good day.

melisa1 [442]3 years ago

5 0

Answer:

.01

Step-by-step explanation:

Change the percent to decimal form

.04% = .0004

.0004 *30

.012

Round to the nearest hundredth

.01

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

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

How to determine if an expression is rational or irrational?

Neporo4naja [7]

If it is rational, it has a terminating decimal or a repeated decimal number (ex. 56, or 1.25, or 3.666...)

If it is irrational, it is an ongoing number with no pattern (ex. 3.14159265... Which is pi)

4 0

3 years ago

Which of the following could be the ratio between the lengths of the two legs

skad [1K]

9514 1404 393

Answer:

B, E

Step-by-step explanation:

The ratios of side lengths in a 30-60-90 triangle are ...

1 : √3 : 2

The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:

B. 1 : √3

E. 2√3 : 6

3 0

3 years ago

Whoever gets it right gets brainlyess answer and it's worth 10 points

defon

There are 8 yellow and 24 blue. Our ratio from yellow to blue is 8:24.
To simplify this, we need to see if we can divide 8 and 24 by a common factor.
8 and 24 can be divided by 8, so let's do that.
8/8 = 1.
24/8 = 3.
Your new and simplified ratio is 1:3 from yellow to blue, but we're looking for blue to yellow. Flip the ratio.
3:1 is your ratio.
C.) is your correct answer.
I hope this helps!

6 0

3 years ago

Read 2 more answers

What is the value of this expression? 5x (8 – 3) + 2

ivolga24 [154]

Answer:

Step-by-step explanation:

5 x (8 - 3) +2

5 x (5) + 2

25 + 2

Hope that helps!

4 0

4 years ago

Read 2 more answers