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4 years ago

8

ingrid bought computer for $394.25 including tax she made down payment of $58 and paid the balance in 7 equal monthly payments w

hat was ingrid's monthly payment? Brainly

1 answer:

Llana [10]4 years ago

8 0

Answer: $43.04 per month

394.25 - 58 = 336.25
336.25 / 7 = 48.036 or $48.04

Check: 48.04 * 7 = 336.28 + 58 = 394.28

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In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end qu

Leya [2.2K]

Explanation:

The equation of comet E is given below as

$\frac{(y+16)^2}{400}+\frac{x^2}{144}=1$

The equation of comet H is modelled below as

$\frac{(y+13)^2}{144}-\frac{x^2}{25}=1$

Given, that the Sun is located at the origin.

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse: below,we will have

$\frac{(y-k)^2}{b^2}+\frac{(x-h)^2}{a^2}$

Whise center is

$\begin{gathered} center=(h,k) \\ vertices=(h\pm a,0) \end{gathered}$

By comparing coefficient, we will have

$\begin{gathered} a^2=144 \\ a=12 \\ b^2=400 \\ b=20 \\ k=-16 \\ h=0 \\ (h,k)=(0,-16) \end{gathered}$

Hence,

The vertex of comet E will be

$\begin{gathered} (h\pm a,0) \\ (0+12,0),(0-12,0) \\ (12,0),(-12,0) \end{gathered}$

The vertex of comet E is

$(12,0),(-12,0)$

Part C:

It is the foci forboth comets

$\begin{gathered} cometE: \\ c=\sqrt{b^2-a^2} \\ c=\sqrt{400-144} \\ c=\sqrt{256} \\ c=16 \\ \\ For\text{ comet F:} \\ c=\sqrt{a^2-b^2} \\ c=\sqrt{144+25} \\ c=\sqrt{169} \\ c=13 \end{gathered}$

Hence,

The foci will be

$\begin{gathered} (16\pm16,0) \\ cometE \\ (0,0),(32,0) \\ cometF: \\ (13\pm13,0) \\ (0,0),(26,0) \end{gathered}$

5 0

1 year ago

Insert parentheses to make the equation true then simplify

Liono4ka [1.6K]

10(4^2-(9)

Since 16-9 is 7
And 10 times 7 is 70

3 0

4 years ago

Therefore, the volume of one pyramid must equal one-sixth the volume of the cube, or

Kipish [7]

Answer:

A: 1/6 (b)(b)(2h) or 1/3Bh

Step-by-step explanation:

I just took the quiz on Edge 2020, and it was correct. Hope this helps!

8 0

3 years ago

Read 2 more answers

Solve the equation for x.

Advocard [28]

ANSWER

D. x=55

EXPLANATION

The given radical equation is

$\sqrt{x - 6} + 3 = 10$

Add -3 to both sides

$\sqrt{x - 6} = 10 - 3$

$\sqrt{x - 6} =7$

Square both sides.

${ (\sqrt{x - 6})}^{2} = {7}^{2}$

$x - 6 = 49$

Solve for x to get:

$x = 49 + 6 = 55$

7 0

4 years ago

Read 2 more answers

Which best describes the relationship between the line that passes through the points (-6, -1) and (-11, 1) and the line that pa

earnstyle [38]

Answer:

B. They are perpendicular

Step-by-step explanation:

calculate the gradient of (-6, -1) and (-11, 1)

m= y2 - y1/ x2 - x1

= 1 - (-1)/ -11 -(-6)

m = <u>-</u><u>2</u><u>/</u><u>5</u>

then you find the gradient of the other points in the same way

m = y2 - y 1/ x2 -x1

= -13 -(-8)/ -5 -(-3)

m = 5/2

to prove that they are perpendicular

m1×m2 = -1

-2/5 × 5/2 = <u>-</u><u> </u>1

hence they are perpendicular

3 0

3 years ago