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adoni [48]
3 years ago
14

Use the table above to answer the question.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

  $16,479

Step-by-step explanation:

The table tells you Ed's tax is ...

  14,138.50 + 0.31×(70,000 -62,450) = 16,479 . . . . dollars

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Stan started soccer practice at 6:00 pm. Practice lasted for 1 hour and 55 minutes. What time was practice over?
borishaifa [10]
B. 07:55 pm
6+1= 7, plus 55= 7:55
6 0
3 years ago
A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%
sergeinik [125]
Now, let's say, we add "x" lbs of the 60% gold alloy, so..  how much gold is in it?  well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it?  well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}

\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}

how much of the 40% alloy?  well, y = 12.4 - x.
5 0
3 years ago
Whitch is the simplified form of the expression 5(14-2)^2 over 2
Anika [276]
[5(14-2)^2]/2=
(5•12^2)/2=
5•144/2=
5•72=
720/2= 360
7 0
3 years ago
Find the value of the variable<br> 125
Alexxx [7]
Answer: 55

The angles that measures 125 and y make a linear pair (equal 180)

So you just do 180-125 to get y
8 0
2 years ago
How do you do this question?
mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}

Graph: desmos.com/calculator/mezlen9hb4

3 0
3 years ago
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