He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Answer:

Step-by-step explanation:

There are 3 main types of income one can generate. They are termed as the earned income, the passive income and the capital gains income. Earned income is the compensation you get from working or offering a service. Passive income is the type of income you generate from what you own or your assets. Lastly, Capital gains income, also called "portfolio income", is the money generated from selling investments at a much higher price. Padraig have two type of income here. He had earned income by receiving the $80000 salary and he had capital gains income for selling stocks for $5000.

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A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.

swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of $x$ cm, then it's diagonal have the length of $x\sqrt2$ cm. Using the circle's area we can find the diagonal of the square, as shown below:

$area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222$

Since the diameter of the circle is the same as the diagonal of the square, then:

$x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971$

The side of the square is 5.971 cm

8 0

3 years ago

Read 2 more answers

Complete the table above.

4vir4ik [10]

$\bf \begin{array}{|c|c|c|ll}
\cline{1-3}
x&y=3x^2&y=3^x\\
\cline{1-3}&&\\
0&\stackrel{3(0)^2}{0}&\stackrel{3^0}{1}\\&&\\
1&\stackrel{3(1)^2}{3}&\stackrel{3^1}{3}\\&&\\
2&\stackrel{3(2)^2}{12}&\stackrel{3^2}{9}\\&&\\
\cline{1-3}
\end{array}$