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Mrrafil [7]
2 years ago
15

This is also on the paper, see picture above.​

Mathematics
1 answer:
Nana76 [90]2 years ago
6 0
Y= 2x -2 that’s the answer. you’re welcome.
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Matthew deposits $400 into an account that earns 7% interest compounded quarterly. What is the balance in his account after 10 y
user100 [1]

Answer:

$787

Step-by-step explanation:

In terms of interest

To find the multiplier using '7% more' continues as follows

100% + 7% = 107%

107/100 = 1.07 (multiplier)

Add the ten years as a power to the multiplier

1.07^10

And multiply this by $400

400 x 1.07^10 = 786.860542916

To the nearest dollar = $787

7 0
2 years ago
Read 2 more answers
Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!
IgorC [24]
Hey there, hope I can help!

-4x^2+9y^2+32x+36y-64=0

\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \  9y^2+32x+36y-4x^2=64

\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \  -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4
-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9
-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}

\mathrm{Convert}\:x\:\mathrm{to\:square\:form}
-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)

\mathrm{Convert\:to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)

\mathrm{Convert}\:y\:\mathrm{to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)

\mathrm{Convert\:to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)

\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \  -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1

Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1

For me I used
\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1
As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1

Hope this helps!
4 0
3 years ago
A sample is BEST defined as _________.
Thepotemich [5.8K]

Answer:

(B) A selected group of participants that is representative of a larger population

Step-by-step explanation:

A sample statistic is a piece of information that you get from a fraction of the population. This information is representative of a larger population.

For example, someone wants to conduct a survey about the most popular NFL team in Syracuse, NY, if it is the Buffalo Bills or the New York Giants. This person is not going to ask each person for whom they cheer. They are going to collect data from a fraction of the population and this data will be expanded to include the entire population.

So, the correct answer is:

(B) A selected group of participants that is representative of a larger population

7 0
3 years ago
The volume (V) of water stored in an open tank varies due to evaporation as
Elena L [17]
75 is your answer

Hope this helped

Happy Holidays!
7 0
2 years ago
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What is 4k-14+3k=21​
BARSIC [14]

So here. I don't know how to explain so-

5 0
3 years ago
Read 2 more answers
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