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Leya [2.2K]
3 years ago
15

Which statement about the ordered pairs (−9,3) and (2,−4) is true for the equation 6x−y2=14 ?

Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

What are the statements to choose from? Send me a message with the choices.

Step-by-step explanation:

6x-2y=14

+2y +2y

6x=14+2y

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What is the solution to the system of equations? 3x - 6y = -12, x -2y =-8.
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Answer:

Step-by-step explanation:

First, we need to write down the equations so we can have a vision of the equations.

3x - 6y = -12

x - 2y = -8

Now we find the simpler equation, and we make it to where one of the variables is on one side.

Let's use the bottom equation.

x = 2y - 8

Now we plug in the equation to the other equation.

3(2y - 8) - 6y = -12

6y - 24 - 6y = -12

-24 = -12

0 = 12

This is a false statement. 0 does not equal 12. That means that the equation has no solutions.

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2 years ago
Carmella is purchasing a $105,000 home and her bank is offering her a 30-
GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

P=C[\frac{1-(1+r)^{-n}}{r}]

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02

So <u>monthly payment would be around $532.02</u>

<u />

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09

The <u>monthly payment would be around $399.09</u>

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The amount that is lower is  532.02 - 399.09 = $132.93

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2 years ago
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