Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?

The equation 4x + 8 = -2 - 2 + 5x has one solution

The equation is given as:

4x + 8 = -2 - 2 + 5x

Collect like terms

4x - 5x = -2 - 2 - 8

Evaluate the like terms

-x = -12

Divide both sides by -1

x = 12

The above means that the equation 4x + 8 = -2 - 2 + 5x has one solution

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Answer:

it does have one solution

Step-by-step explanation:

Answer: C) [tex]f^{-1}(x)=3-7x[/tex]

Step-by-step explanation:

When solving for an inverse of a function replace f(x) with x and replace the original x with y.

[tex]f(x) = \frac{3-x}{7} \\x=\frac{3-y}{7}[/tex]

Now solve for y

[tex]x=\frac{3-y}{7} \\(7)x=(\frac{3-y}{7}) (7)\\7x=3-y\\7x+y=3-y+y\\7x+y=3\\7x-7x+y=3-7x\\y=3-7x[/tex]

Replace y with the [tex]f^{-1}(x)[/tex]

Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

Samples may be classified as:

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

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Answer:

B

Step-by-step explanation:

khan

the volume of the pot.

bolume of a triangular prism= BH

area of a triangle= 1 / 2 × base × height

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

so, the volume of the pot is 195 unit³.

Answer:

105.2°

Step-by-step explanation:

Supplementary means the angles add up to 180. 180-74.5=105.2

Answer:

The answer is 15.2

Step-by-step explanation:

This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

Answer:

Juan can buy 6 outfits with the money that's left over.

Step-by-step explanation:

Take $640-$265.36-$13.61-$37.11 and then divide

the answer, $332.92 by $54.87.

Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.

Given that,

Juan has $640 to spend at a bicycle store for new gear and biking outfits.

He buys a new bicycle for $265.36.

He buys 2 bicycle reflectors for $13.61 each.

He buys a pair of bike gloves for $37.11.

To determine the greatest number of outfits Juan can buy with the money he has left,

Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.

Juan's initial budget is $640.

After buying the bicycle for $265.36, the remaining amount is,

$640 - $265.36 = $374.64.

Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of

2 x $13.61 = $27.22.

Subtracting this amount from the remaining budget, we have

$374.64 - $27.22 = $347.42.

Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.

Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,

Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.

Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.

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Given figure is a parallelogram

To Find

Value of"x"

[tex]m \angle \: A = m \angle \: C[/tex]

[tex]2x + 35 = 5x - 22[/tex]

[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]

[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]

Answer:

27 cm²

Step-by-step explanation:

Refer to the attachment for visual reference.

First, divide into each rectangles or squares.

Then find the areas individually.

After that, combine all areas and that is the area of figure.

Area of Rectangle

A = width * length (Keep in mind that width is always less than length.)

Area of Square

A = side * side

Unit for area is cm² because we are finding area which is two dimensional.

Answer:

impossible? you have only 2 coins

Answer:

I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation:

You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.

Answer:

7/8 - 1/4 = 5/8

Step-by-step explanation:

The equation is 7/8 - 1/4 = ?

So you need to have a common denominator for both fractions in order to subtract the two.

In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.

Now you can subtract the two fractions because they both have a common denominator.

7/8 - 2/8 = 5/8

Answer:

x + 27y - 52 = 0.

Step-by-step explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (1-2)/(25- (-2))

= -1/27

Using the point slope form of a straight line:

y - 2 = -1/27(x- (-2))

y - 2 = -1/27x - 2/27

y = -1/27x  - 2/27 + 54/27

y = -1/27x + 52/27

Multiply through by 27:

27y = -x + 52

x + 27y - 52 = 0   <------- Standard form.

Answer:

Hope the picture will help you

Answer:

(- 2, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )

Instead of y write 0:

0=3x+6

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

(-2, 0)

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

Answer:

Hope the picture will help you.

Answer:

KR = 9

Step-by-step explanation:

If K is the midpoint of ER, then EK = KR and ER = 2(EK).

Given:

         ER = 2(EK)

⇒ 4x + 2 = 2(x + 5)

⇒ 4x + 2 = 2x + 10

⇒ 2x + 2 = 10

⇒ 2x = 8

⇒ x = 4

As EK = KR  and EK = x + 5  and x = 4:

⇒ KR = 4 + 5    

⇒ KR = 9

KR:-

Answer:

1309 marbles

Step-by-step explanation:

All together:

Answer:

C) $560

Step-by-step explanation:

Suppose that: r=price of red bike ,  b=price of blue , g=price of green.

Given: r=(2/3)b   g=(5/4)b  g=210+b  

Solution:

(5/4)b=210+b                   (g=g)

(5/4)b-b=210                   (take b as common factor)

b((5/4)-1)=210                  

b(0.25)=210  

b=210/0.25=$840    (so the price of blue bike is 840$)

Substitute b in equation of r:

r=(2/3)b=(2/3)(840)=560

so red bike costs $560.

The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

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Answer:

Step-by-step explanation:

4 * 9 + 2* 9 + 1/2*6 * 3

= 36 + 18 + 9

= 63 in^2

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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Answer:

82cm

Step-by-step explanation:

ihope it helps thanks

b=-3

The equation, -11b + 7 = 40, can be solved using the properties of equality.

Solving For b

First, subtract 7 from both sides

Then, divide both sides by -11

Checking the Answer

We can check our answer by plugging the answer back into the original equation.

First, rewrite the equation with the answer

Next, multiply out the terms

Then, add together like terms

Because this is a true statement, the answer must be correct.

Answer:

the difference is 0

Step-by-step explanation:

[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]

[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]

the difference = 9 - 9 = 0

well, we know that π is 180°, so then what is 3π/5?

[tex]\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]