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mestny [16]
1 year ago
13

Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional

$750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.
Mathematics
1 answer:
postnew [5]1 year ago
6 0

Answer:

15000 - 750x

Step-by-step explanation:

Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.

Let

y = dollars

x = number of months

Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .

The amount will also be reducing by $750 per month

Therefore,

How far she is from her goal can be represented with the equation

15000 - 750x

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What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?
Gnom [1K]

Answer:

A quadratic equation is of the form: ax^2+bx+c= 0 .....[1] where

a. b and c are coefficient and x is the variable.

The solutions of the equation are;

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

Given the function: f(x) = 6x^2+12x-7

To find the zero of this function.

Set f(x) = 0

⇒6x^2+12x-7=0

On comparing this with equation [1] we have;

a = 6, b = 12 and c = -7

then;

x = \frac{-12\pm\sqrt{(12)^2-4(6)(-7)}}{2(6)}

x = \frac{-12\pm\sqrt{144+168}}{12}

or

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or

x = \frac{-12\pm 2\sqrt{78}}{12}

x = \frac{-6\pm \sqrt{78}}{6}

Therefore, the zeros of the quadratic function f(x) are;

\frac{-6+\sqrt{78}}{6} and \frac{-6-\sqrt{78}}{6}


8 0
1 year ago
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What can be concluded about the graphed polygon? mc013-1.jpg The polygon is a rectangle. Adjacent sides of the polygon are perpe
Usimov [2.4K]
From the given graph, the image is a trapezoid.
Therefore,
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Fourth option " </span><span>The slope of side c is 0.", this is true because line c is a horizontal line with zero rise and maximum run. Therefore,
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<span>          = 0

</span>

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2 years ago
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a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o
irina1246 [14]
To find the volume of the prism you are going to use the formula  V=WxLxH.
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Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
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4 0
1 year ago
A circle fits inside a semicircle of diameter 24mm
patriot [66]

Answer:

The shaded are is 113\ mm^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

where

r=24/2=12\ mm ----> the radius is half the diameter

substitute

A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

A=\pi r^{2}

where

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substitute

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step 3

Find the shaded area

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assume

\pi=3.14

36(3.14)=113.04\ mm^{2}

3 significant figures is

113\ mm^{2}

6 0
1 year ago
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