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3 years ago

10

Alexa is deciding where to buy a new camera. Each store offers a 1-year loan for $450 but with different interest rates and fees

. Which is the best way for Alexa to choose the $450 loan that will cost her the LEAST?

1 answer:

zubka84 [21]3 years ago

4 0

Answer:

The Loan with the lowest annual percentage rate (APR)

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The product of twice a number and six is the same as the difference of eleven times the number and 1/4 fine the number

solmaris [256]

Answer:

x= -1/4

Step-by-step explanation:

suppose ,

The number is x

now,

twice a number = 2 . x = 2x

The product of twice a number and six = 2x . 6 = 12x

[ "product" means the result of multiplication]

Then,

Eleven times the number = 11 . x = 11x

The difference of eleven times the number and 1/4 = 11x - 1/4

= (44x-1)/4

Hence,

12x = (44x-1)/4

=>48x = 44x-1 [multiplied by 4 on both sides]

=>48x-44x=-1 [subtract 44x on both sides]

=>4x=-1 [divide both sides by 4]

=>x= -1/4

3 0

3 years ago

A parabola is given by the equation y = x2 + 4x + 4.

notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2, $\frac{1}{4}$ )

the directrix of the parabola is:y= $\frac{-1}{4}$

Step-by-step explanation:

we know that for any general equation of the parabola of the type $y=ax^{2} +b x+c$ the vertex of the parabola is given by (h,k)

where $h=\frac{-b}{2 a}$ and $k=\frac{4 a c-b^{2} }{4a}$

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type $4 a (y-h)=(x-k)^2$ ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is $(-2,\frac{1}{4} )$

now the directrix of the parabola is $y=\frac{-1}{4}$ .

3 0

3 years ago

Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

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3 years ago

Hank brought a fish tank

yaroslaw [1]

To find volume you do length*width*height
therefore it would be 15*8*10= 1,200

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3 years ago

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Katyanochek1 [597]

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2 years ago