John borrowed $ from bank for 3 years at a rate of 10%
a) Find the simple interest
b) Find the the total amount paid​

Answer:

7/ Ans;

[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]

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9/Ans;

[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]

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In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

Answer:

81920

Step-by-step explanation:

Finding the common ratio (r) :

Finding the 14th term :

Answer:

the 14th term in the sequence would be 81920.

Step-by-step explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

Two prisms with the same volume are rectangular prisms of the dimensions  1 by 4 by 9 and 2 by 3 by 6

To do this, we start by determining the type of prism to create.

Assume that we want to create a rectangular prism.

The volume of a rectangular prism is:

Volume = Length * Width * Height

Using the digits 1 - 9, we have:

Prism 1

Length = 1

Width = 4

Height = 9

The volume is

Volume = 1 * 4 * 9 = 36

This means that the second prism must have a volume of 36.

Using the digits 1 - 9, we have:

Prism 2

Length = 2

Width = 3

Height = 6

The volume is

Volume = 2 * 3 * 6 = 36

Notice that the digits are not repeated.

Hence, two prisms with the same volume are rectangular prisms of the dimensions  1 by 4 by 9 and 2 by 3 by 6

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The number that Sean counts is 27.

What number does Sean count?

When Sean counts by 2s from 15 to 35, he would be counting odd numbers. An odd number is a number that cannot be perfectly divided by 2. There would always be a remainder.

Here are the options:

13

27

16

22

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Answer:

left side:

Range: For all Y inside of Real, y>= -2

Increasing: (-2, inf) For all x inside of Real

Decreasing:(inf, -2)  For all x inside of Real

Right side:

Range: For all Y inside of Real, y<= 1

Increasing: (-1, inf) For all x inside of Real

Decreasing:(inf, 1)  For all x inside of Real

Answer: (6,7)

Step-by-step explanation:

Answer:

(7,6)

Step-by-step explanation:

look above as your axis x it's 7, and then down is axis y is 6.

Answer:

factored form

Step-by-step explanation:

example

(x + 2)(x + 3) ← is an expression in factored form

= x² + 5x + 6 ← in expanded form

Answer:

Step-by-step explanation:

Factored form is opposite of expanded form.

More info:-

Expanded form:

Factored form:

a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

[tex]~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}[/tex]

The length of the similar tube will be 5041 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

The radius of the first tube will be calculated as:-

1200 = 2πr ( 13 )

r = 12 / 2π x 113

r = 14.7 cm

Now the length of the second tube will be:-

500 = 2π x 14.7 x L

L = 500 / 2π x 14.7

L = 5.41 cm.

Therefore the length of a similar tube will be 5041 cm.

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Answer:

missing side: 133 cm

Explanation:

Provided 2 length sides and one angle also need to find one missing side.

So, use cosine rule:

⇒ a² = b² + c² - 2bc cos(A)

Insert values

⇒ g² = 166² + 147² - 2(166)(147) cos(50)

⇒ g² = 17794.3935

⇒ g = √17794.3935

⇒ g = 133.3956

⇒ g = 133          (rounded to nearest whole number)

Answer:

25.12

Step-by-step explanation:

Since it says around the pizza, we can assume it means circumference.

So, the formula to find circumference is C=2πr.

We have a diameter which is 8. We know that radius is half of the diameter. So, half of 8 is 4.

Now that we have the radius we can plug in the numbers for the formula C=2πr.

C=2πr

C=2*3.14*4

C=25.12

your answer is 25.12 inches.

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

Answer:

The volume of the rectangle would be [tex]57\frac{7}{9}[/tex] ft^3. (The first answer).

Step-by-step explanation:

To solve you have to multiply [tex]4\frac{1}{3},3\frac{1}{2}, and, 4[/tex] to get an answer of [tex]57\frac{7}{9}[/tex].
I hope this helps! :)

Answer:

I cant help unfortunately

Step-by-step explanation:

can you help me in the comprehension of the story uncle Marcos ?

My exam is in 4 hours btw

Answer:

B . it was right when I picked it

The approximate difference in their volumes is 17.2 cubic inches

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The difference is then represented as:

[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]

Substitute known values

[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

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Answer:

y =  x/2 - 4

Step-by-step explanation:

The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem

The rule of the side lengths of a right triangle is:

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of the longest side, and a and b represent the lengths of the triangle

This in other words mean that:

All right triangles obey the Pythagoras theorem

Note that I gave a general explanation because the question is incomplete

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Answer:

Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...

Answer:

(x+6)2 + (y-4)2 = 81

Step-by-step explanation:

The equation of the circle is in the for (x-a)2 + (y-b)2 = c2

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

Answer:

The image has the ans.

Step-by-step explanation:

The image will help.

The evaluation is (2sin2∅-cos2∅)sec2∅.

Trigonometric functions are functions used to relate the sides of a triangle with its angles.

Analysis:

2tan2∅ -(1- tan2∅)

2tan2∅ - 1 + tan2∅

3tan2∅ - 1

3([tex]\frac{sin2\alpha }{cos2\alpha }[/tex]) - 1

(3sin2∅/cos2∅) - 1

(3sin2∅ - cos2∅)/cos2∅

but 1/cos2∅ = sec2∅

(3sin2∅ - cos2∅)/sec2∅

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The area of the lawn is 2.5 times greater than the area of the garden.

Heron's formula for finding the area of a triangle in terms of the lengths of its sides.

In symbols, if a, b, and c are the lengths of the sides: Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

Given vertices W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) of a backyard,

We have to find distances WX, XY, YZ, ZW and XZ:

1. WX= √(-100+100)²+(0+70)²

=√0+4900

=70

2. XY= √(0+100)²+(0-0)²

=100 units.

3. YZ= √(-60-0)²+(-70-0)²

=√3600+4900

= √8500= 10√85

4. ZW= √(-60+100)²+(-70+70)²

=√40²+0

=40 units

5. XZ= √(-60+100)²+(-70+0)²

=√40²+70²

=√6500=10√65

Then:

1. the area of WXZ

[tex]\sqrt{(70+40+10\sqrt{65}) /2 * ({70+40+10\sqrt{65}) /2 -70* {(70+40+10\sqrt{65}) /2 -40[/tex]*[tex]\sqrt{(70+40+10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=1400 feet²

Area of XYZ= [tex]\sqrt{(100+10\sqrt{65}+10\sqrt{85}) /2 * (100+10\sqrt{65}+10\sqrt{85}) /2 -100* {(100+10\sqrt{85}+10\sqrt{65}) /2[/tex]-[tex]\sqrt{-10\sqrt{85}*(10+10\sqrt{85} +10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=3500 feet²

Then, ar(WXZ)/ ar (XYZ)= 3500/1400=2.5 times.

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Answer:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see ...

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

We have 2 letters, x and y. what letter is in all of them? none of them. that means the HCF can't contain a letter. let's take away the letters, we have 12, -4, 15, -5. Since -5 is a prime number. the answer is -1

The total solution for the system of nonlinear equations represented by this graph is 2 solutions

Quadratic function have a leading degree of 2. The graph of a quadratic function is parabolic in nature.

Since the given graph consists of a parabola, hence the total solution for the system of nonlinear equations represented by this graph is 2 solutions

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P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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