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1 year ago

Please help me with this question #8

Mathematics

1 answer:

MA_775_DIABLO [31]1 year ago

6 0

Think of sqrt(2) as a variable.

3x - x = 2x

If x = sqrt(2), then answer is 2sqrt(2)

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Ralph Chase plans to sell a piece of property for $165000. He wants the money to be paid off in two ways - a short-term note at

KonstantinChe [14]

Answer:

The amount of the 10% note is $90,000 and the amount of the 7% note is $75,000

Step-by-step explanation:

Let the amount paid on the 7% note be $x and the amount paid on the 10% note be $y

we know that the sum of both is 165,000

Thus, mathematically

x + y = 165,000 •••••••(i)

Now let’s take a look at interest paid

For the 7%;

7/100 * x = 0.07 * x = 0.07x

For the 10%

10/100 * y = 0.1 * y = 0.1y

The addition of both gives $14,250

0.07x + 0.1y = 14,250 •••••(ii)

We now solve both equations simultaneously

From equation 1, we can have;

x = 165,000 -y

we can substitute this into ii

0.07(165,000-y) + 0.1y = 14,250

11,550 -0.07y + 0.1y = 14,250

0.03y = 14,250-11,550

0.03y = 2700

y = 2700/0.03

y = $90,000

Recall;

x = 165,000-y

x = 165,000 -90,000

x = $75,000

4 0

2 years ago

Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which

vovangra [49]

Answer:

Option C.

Step-by-step explanation:

The vertices of triangle PQR are P(3, −6), Q(6, −9), and R(−15, 3).

It is given that triangle PQR dilated by a scale factor of 3 to obtain triangle P′Q′R′.

We know that a figure and its image after dilation are similar. It means triangle PQR and triangle P′Q′R′

If a figure dilated by factor k about the origin then

$(x,y)\rightarrow (kx,ky)$

PQR dilated by a scale factor of 3, so

$(x,y)\rightarrow (3x,3y)$

Using this rule we get

$P(3,-6)\rightarrow P'(3(3),3(-6))=P'(9,-18)$

$Q(6,-9)\rightarrow Q'(3(6),3(-9))=Q'(18,-27)$

$R(-15,3)\rightarrow R'(3(-15),3(3))=R'(-45,9)$

The vertices of image are P'(9,-18), Q'(18,-27) and R'(-45,9).

Therefore, the correct option is C.

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1 year ago

Sean is conducting an experiment with an isotope of a particular element that has a half life of 4 hours. He begins with a sampl

Alex Ar [27]

Answer:

/??

Step-by-step explanation:

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1 year ago

Serena is single. She purchased her principal residence three years ago. She lived in the home until she sold it at a $300,000 g

Lesechka [4]

Answer: Long -term capital gain

Step-by-step explanation:

Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.

Therefore, $300,000 - $250,000 = $50,000

<em>The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.</em>

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1 year ago

An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (0, 0). The major axi

KiRa [710]

Answer:

The vertices are 4 units to the left and right of the center.

The foci are units to the left and right of the center on the major axis.

The directrices are vertical lines.

Step-by-step explanation:

The statements 2, 3 and 4 are correct. The ellipse graph shows that the foci are units to the left and vertices are 4 units to the left. The center os the ellipse is not at the origin (0,0) so the statement 1 is not correct. Ellipse is an oval shape with 2 other points known as foci. The foci of the ellipse are at left and right axis marked from the center.

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1 year ago

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