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Bogdan [553]
4 years ago
10

A refund of $274 dollars is apparently the answer... please help!

Mathematics
1 answer:
Westkost [7]4 years ago
6 0
Taxable income = 3854
they have been taking taxes out in the amount of 344 for 12 months.....344* 12 = 4128....so they took out too much....so there is a refund of 4128 - 3854 =
274 refund
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The curve with the equation y=8x^2 + 2/x has one turning point.
anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

\displaystyle y=8x^2+\frac{2}{x}

Take the derivative of both sides with respect to x:

\displaystyle y^\prime=16x-\frac{2}{x^2}

Simplify:

\displaystyle y^\prime=\frac{16x^3-2}{x^2}

We will now set this equal to 0 and solve for x. Hence:

\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}

Hence, our coordinate Is (1/2, 6).

8 0
3 years ago
There are 30 tickets numbered as 1, 2, 3, 4, 30 respectively. One random. What is the probability that the number on the ticket
Anna007 [38]

Answer:

  • 2/3 or 66.66%

Step-by-step explanation:

Out of 30 numbers, half is multiple of 2 and the third is multiple of 3.

We have 15 even numbers and 10 multiples of 3. Out of 10, half is even numbers and  therefore counted twice.

<u>So we subtract 5 to get:</u>

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<u>If we chose one ticket at random the probability is:</u>

  • P(2x or 3x) = 20/30 = 2/3 or 66.66%
7 0
3 years ago
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Alexeev081 [22]

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-35°F

Step-by-step explanation:

-40 - -5 equals -35°F

8 0
3 years ago
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Paraphin [41]
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3 0
3 years ago
How to solve |y|&gt;4.5
labwork [276]

Answer:   y > 4.5 or y < -4.5

You use the rule

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