Luz borrowed
money from her bank for home repairs, the principal was $25,000, the rate
was 15% the time was 6 years. How
much interest will she pay and what is the total amount she will have to
pay back? (Principal and interest).

Answer:

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jimrgrant1

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Answer:

m = - , c = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - x - ← in slope- intercept form

with slope m = - and y- intercept c = -

Question 4:

   2x + 3y = 17    -- equation 1

   5x + 6y = 32  -- equation 2

    (equation 1) * 2

    4x + 6y = 34 -- equation 3

    (equation 2) - (equation 3)

     x = -2 -- equation 4

     plug (equation 4)'s value of x into (equation 1)

     2(-2) + 3y = 17

     3y - 4 = 17

      3y = 21

         y = 7

      Thus the answer is x = -2 and y = 7

Question 5:

  The vertex form of a quadrilateral looks like this:

      [tex]y = a(x-h)^2 + k[/tex]

    The x-coordinate of the vertex is equal to '-b/2a'. Where b is the

     coefficient of x, so:

          [tex]h = -\frac{b}{2a} =-\frac{-8}{2*1} =4[/tex]

    There is also another formula to find the y-value of the vertex

    coordinate, but the easier way to find it is to plug it into the original

    equation:

        [tex]k=(4)^2-8(4) + 12= 16 -32 + 12 = -16 + 12 = -4[/tex]

    Since we know now that h = 4 and k = -4 and that a = 1, lets plug it into

    the original equation.

       [tex]y = 1*(x-4)^2 - 4 =(x^2-4)-4[/tex]

     Thus the answer is [tex]y = (x-4)^2 -4[/tex]

Hope that helps!

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

[tex]\frac{40}{100}[/tex]

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

En este caso, sabes:

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Aprende más acerca de la Ley Universal de la Gravitación:

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Answer:

  (x, y) = (-7, 11)

Step-by-step explanation:

The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.

First equation:

  2^(x+y) = 16

  2^(x +y) = 2^4 . . . . use the same base to write the constant

  x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)

Second equation:

  2^(2x +y) = 1/8

  2^(2x +y) = 2^(-3) . . . . use the same base to write the constant

  2x +y = -3 . . . . . . equate exponents of 2

Solve the linear equations:

We can subtract the first equation from the second to get ...

  (2x +y) -(x +y) = (-3) -(4)

  x = -7

  y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y

The solution to the system is (x, y) = (-7, 11).

Mai's statement implies that Tyler's steps do not form an equivalent expression

Tyler's error is in step 3.

Tyler's steps of solving the expression is given as:

Tyler's error is in step 3.

This is so because:

9 + (-4) ( 5x + -6 ) in step 2 is not equivalent to 9 + -20x + -6 in step 3

In actual sense, Tyler's error is in multiplying the (-4) and (-6)

The correct solution is as follows:

Read more about equivalent expressions at:

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Answer:

C: 28 inches

Step-by-step explanation:

Perimeter is when you add the length of each sides together.

Answer:

c

Step-by-step explanation: Because to get the perimeter you need to add all the sides of the figure for example 9+9+5+5=28 :]

B) [tex]\sf y=\left|x-3\right|[/tex]

Here in option B,

y-intercept:

y = |x-3|

y = |0-3|

y = 3

x-intercept:

0 = |x-3|

x - 3 = 0

x = 3

Thus option B is correct.

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

Answer:

4.58257569 meters (Could probably get away with rounding it to 4.6 meters)

Step-by-step explanation:

Pythag theorem

a^2 +b^2 =c^2

Insert your numbers

10^2+b^2=11^2

Simplify squares

100+b^2=121

subtract 100 from both sides

b^2=21

sqrt both sides

sqrt(b^2)=sqrt(21)

simplify sqrts to get b

b= 4.58257569

Answer:

-6

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

well, since we know the diameter points, half-way in between is the center

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]

and its radius will be half the length of the diameter

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]

Answer:

Let F = customer's fare (in dollars)

Let d = distance traveled (in miles)

Given:

Creating an equation from given information:

F = 2d + 5

This is a linear equation, with slope of 2 and y-intercept of (0, 5)

**see attached graph**

Answer:

See below ↓

Step-by-step explanation:

Given :

Solving :

Answer:

.0214

Step-by-step explanation:

2.14 * .01 = .0214

to check:

.0214 * 100 = 2.14

Answer:

70 stops

Step-by-step explanation:

To find the amount of stops it makes in an hour, do 28 stops ÷ 2 hours, which will give you 14 stops in one hour.

Then do 14 stops × 5 hours, which would give you 70 stops.

Here's the notation if you want to make it look pretty:

 [tex]5(\frac{28}{2} )=70[/tex]

The expressions BC and AB are illustrations of straight lines

The length AC is 25 units

The given parameters are:

BC =7

AB = 16

Assume that AB and BC are straight lines.

Then , we have:

AC =AB + BC

Substitute known values

AC = 16 + 7

Evaluate the sum

AC = 25

Hence, the length AC is 25 units

Read more about lengths at:

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Answer:

215.625 square feet.

Step-by-step explanation:

The best way to approach this is by finding the area of each shape and then adding them together.

The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.

The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.

7.5 · 7.5 / 2 = 28.125 square feet.

187.5 + 28.125 = 215.625 square feet.

Hope this helps! :)

Answer:

1/21

Step-by-step explanation:

We start with 7 cards. The probability of picking a 4 is 1/7. Since the first card is not put back, there are 6 cards left. Of these 6 cards, there are two which have divisors of 63: 3 and 7. So the probability of picking a divisor of 63 is 2/6, which reduces to 1/3. Multiplying these probabilities gives 1/21.

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

Answer: PH, ground

Step-by-step explanation: edge2022

In this lab, you observed how pollutants affected the" PH "of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the" ground "

Water pollution can be defined as the abnormal accumulation of strange elements in the water with harmful consequences to natural ecosystems.

Water pollution involves all the possible ways in which any water body can be contaminated with harmful elements.

The source of water pollution is human activities, producing the biggest damage to natural ecosystems.

Contaminating elements might be either gasses, solid material, or liquid material Such as Chemical elements, microbiota, heavy metals, and sediments affect all forms of life.

You can learn more about water pollution at

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Answer:

x = 41.16

Step-by-step explanation:

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

Answer:

Slope= -2

y-intercept= -4

Step-by-step explanation:

To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.

[tex]\textcolor{steelblue}{\text{Slope-intercept form}}[/tex]

Given equation: 6x +3y= -12

Let's leave the y term on the left of the equation and bring the rest to the right.

3y= -6x -12

To ensure that the coefficient of y is 1, divide both sides by 3.

y= -2x -4

The equation is now in the slope-intercept form.

The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.

Answer:

the median is 3.5

Step-by-step explanation:

there are 27  dots                                                                                                      27/2=13.5                                                                                                                 therefore the answer is the 13th dot and a half                                                              3.5 :)                                                                                                                                      (i dont know for sure but i think the mean is 3)

The mean is 3 and the median is 3 for this list of numbers.

From the dot pot,

Arrange the number in order:

1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5

Now,

Mean = Average of all the values.

Median = Midvalue of the number.

Now,

There are 30 numbers in the list, so the mean is:

Mean = 90/30 = 3

To find the median, we need to find the middle number.

Since there are an even number of numbers in the list, we take the average of the two middle numbers:

The middle two numbers are both 3, so the median is:

Median = (3 + 3)/2 = 3

Therefore,

The mean is 3 and the median is 3 for this list of numbers.

Learn more about median here:

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Answer:

(5,1)

is one of infinitely many possible order pairs.

Step-by-step explanation:

There are an infinite amount of x values that give you an answer to this question. You get to choose. But first let's start off with isolating y.

[tex]-x + 6y = 1\\6y = 1 + x\\y = \frac{1+x}{6}[/tex]

Now the equation is easier to interpret. [tex]y = \frac{1+x}{6}[/tex]

Now here's the part where you actually get to choose. Take any x, value, I'll choose 5.

I'll sub it into the equation and get my y value, [tex]y = \frac{1 + (5)}{6}= 1[/tex]

Okay, we get that y = 1, when x = 5. That's an ordered pair:

(5,1)

Remember you could follow this same procedure for any x value you choose.