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3 years ago

Use the tally chart to answer the question.

Mathematics

2 answers:

Semenov [28]3 years ago

4 0

Answer:

your answer would be A

Step-by-step explanation:

sergejj [24]3 years ago

3 0

Answer:a

Step-by-step explanation:

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How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 50% a

Mashcka [7]

It should be half antifreeze and then half water because you have to mix together

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3 years ago

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social

ANEK [815]

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

$Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}$

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in $0$ , therefore

$Tax=0.062x$

Put x=102000.

$Tax=0.062(102000)$

$Tax=6324$

So, the Social Security tax is $6324.

Therefore, the correct option is c.

5 0

4 years ago

0.5m = 0.75 Solve for m Pls and thx

Likurg_2 [28]

Answer: The answer is m=1.5

Step-by-step explanation: Divide both sides by 0.5 and you will find m.

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

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

PLEASE HELP WORTH 15 PTS

beks73 [17]

Answer: $65,000

Step-by-step explanation: Each box worth $5,000

4 0

4 years ago