An opened a sevings account with $300 and was paid simple interest at an annual rate of 5%. When Ann closed the account, she
was paid 75 in interest. How long was the account open for, in years?

Answer:

$208.30

Step-by-step explanation:

Let the original price be $ x

Discount % = 12%

Discount = $ 25

 12% of x = 25

  [tex]\sf \dfrac{12}{100}*x = 25[/tex]

           [tex]\sf x = 25 * \dfrac{100}{12}=\dfrac{25*25}{3}\\[/tex]

              = $ 208.30

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b= \sqrt{1600-576} [/tex]

[tex] {\qquad \sf  \dashrightarrow \: b= \sqrt{1024}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = 32 \: units[/tex]

The length of "b"

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]

[tex]b = 1024[/tex]

[tex]b = \sqrt{1024} [/tex]

[tex]b = 32[/tex]

Hence, the length of "b" is 32.

In systematic sampling, individuals are selected at regular intervals from the sampling frame.

Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic

Clustered sampling.- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study

Simple random sampling. -In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.

Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.

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Answer:

In some schools yes but it depends is it a required class? if so then you'd have to retake it.

Answer:

well you might not have to do summer school but you might have to take a course during summer for that class you failed or you may have to redo that class in order to get the points needed to pass but also it depends because even though you might  not pass that one class you can still pass the grade but you will be in the same class or a lower standard for that subject now i am not sure it honestly all depends on your teacher and school if they want you to go the next grade but they can also talk to teachers in the next grade to help you so that you can still pass but you have to do lower standard work  for the class in that next grade

Step-by-step explanation:

hope it helps let me know if you have anymore questions or if you need anymore help understanding or if you need help with work so that you can pass i would be happy to help you

Answer:

step 4

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

The set A is the set of sports balls that are spherical

Set A={basketball, football, tennis ball, soccer ball, volleyball}

So, the complement of Set A is {baseball}

Because, a baseball infield is in the shape of a square, with each base at a vertex.

Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

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Answer:

6.28

Step-by-step explanation:

D = R x 2

D = 2

2 x 3.14 =

6.28

Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

Answer:

424

Step-by-step explanation:

SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}

therefore: 2 [32 + 60 + 120]

therefore: 64 + 120 + 240

therefore: 360 + 64

therefore: 424

Answer:

424

Step-by-step explanation:

To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.

Hope this helped!

Answer:

2(12r + 24)
12(r + 2)

The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form

The expression is given as:

3√2 * 2√5 * 8√18

Multiply the integers

3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18

This gives

3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18

Multiply the radicands

3√2 * 2√5 * 8√18 = 48 *√5 * √36

Take the square root of 36

3√2 * 2√5 * 8√18 = 48 *√5 * 6

Multiply 48 by 6

3√2 * 2√5 * 8√18 = 288√5

Hence, the value of 3√2 * 2√5 * 8√18 is 288√5

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Answer:

B

Step-by-step explanation:

There is two wholes and one half.

B. is the correct graph.

See the attachment.

Answer:

Step-by-step explanation:

Use desmos to graph

B is The correct answer for this question

Answer:

A. -3/2

Step-by-step explanation:

» Concepts

The slope of a line describes the steepness, or the change in y over the change in x of a line. The formula to find the slope, given two points, is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where we put in the x- and y-coordinates of the two points.

» Application

In this case, we're given two points: (-2, 5) and (4, -4). We have to find the slope of the line containing them, so we must use our aforementioned formula.

» Solution

Therefore, the answer is A. -3/2.

answer : 3.22

if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.

Answer:

  45/7

Step-by-step explanation:

The ratio of volumes is the cube of the scale factor for similar figures.

__

  sf³ = (729 m³)/(2.744 m³) = 9³/1.4³

  sf = ∛(9³/1.4³) = 9/1.4 = 45/7

The scale factor between the larger and smaller cubes is 45/7.

Answer:

The answer is stated above:

x=15

y=5

Answer: 48

Step-by-step explanation:

A = bh = (8)(6) = 48

Answer:

[tex] \frac{17}{k} [/tex]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

[tex]\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\[/tex]

Simplifying the system of equations, we have

[tex]\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\[/tex]

[tex]\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500[/tex]

                                       [tex]y&=500+100=600\\ z&=3(500)-600=900[/tex]

The video store has 500 children's movies, 600 westerns and 900 horror movies.

Answer:

Step-by-step explanation:

Remark

a is one part of the cosine function. It is termed the adjacent side. The given number (12) is the hypotenuse of a right triangle. The reference angle is given as 25. You have all you need to solve for a

Givens

<B = 25o

AB = 12

a = a

Equation

Cos(B) = adjacent side / hypotenuse

Solution

Cos(25) = adjacent side / 12               Multiply both sides by 12

12*cos(25) = adjacent side

cos(25) = 0.90631

12*0.906331 = adjacent side

10.87 = adjacent side

Answer

a = 10.9

Answer:

4h²– 19h – 30

Step-by-step explanation:

(4h+5)(h-6)

=4h²–24h+5h–30

=4h²–19h–30

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:how\:to\: solve\: }}}[/tex]

➣ Let's start !

[tex] \qquad \sf{➛ \: (4h + 5) \times (h - 6)} \\ [/tex]

★ Opening brackets multiplying nd solving

[tex]\qquad \sf{➛( \: 4h \times h) +( 4h \times - 6) + (5 \times h) + (5 \times - 6)}\qquad \\ \sf{➛\: {4h}^{2} - 24h + 5h - 30 }[/tex]

★ arranging like terms and solving gives

[tex]\qquad \sf{➛ \: {4h}^{2} - 19h - 30\bold\green{✓}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

Distance=√(x2−x1)2+(y2−y1)2

Step-by-step explanation:

How to Find Distance Between Two Points?

Note down the coordinates of the two given points in the coordinate plane as, A(x1,y1 x 1 , y 1 ) and B(x2,y2 x 2 , y 2 ).

We can apply the distance formula to find the distance between the two points, d = √[(x2 x 2 − x1 x 1 )2 + (y2 y 2 − y1 y 1 )2]

Answer:

2.66unit

Step-by-step explanation:

volume=176

l×b

6×11=66

Therefore,176÷66=2.66unit

30/40

Step-by-step explanation:

like my guy it's thaymt ez

The profit that Jim got in percentage will be 46.67%.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,

Profit = £44 - £30

Profit = £14

The profit in percentage is calculated as,

P = (£14 / £30) x 100

P = 0.4667 x 100

P = 46.67%

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If the height of the frustum of the cone is 10 cm. Then the volume of this cup will be 47 milliliters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a milliliter.

Then the volume of this cup to the nearest milliliter will be

The volume is given as

[tex]\rm V = \dfrac{1}{3} \pi (r_2^2 - r_1^2) h[/tex]

We have

Height (h) = 10 cm = 0.1 m

Radius (r₁) = 3.2 cm = 0.032 m

Radius (r₂) = 2.4 cm = 0.024 m

Then the volume will be

[tex]\rm V = \dfrac{1}{3} \pi (0.032^2 - 0.024^2) \times 0.1\\\\\rm V = 4.7 \times 10^{-5} \ \ m^3[/tex]

Then the conversion of m³ to milliliters will be

4.7 × 10⁻⁵ m³ = 4.7 × 10⁻⁵ × 10⁶ millileters

4.7 × 10⁻⁵ m³ = 47 milliliters

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Answer:

18.7%

Step-by-step explanation:

P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%