If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?​

Answer:

55/4=13.75

Step-by-step explanation:

3+1/3=10/3

4+1/8=33/8

(10/3)(33/8)

(33x10)/(3x24)

330/24

55/4

Hope that helps :)

Answer:

[tex]Area= 36g^6h^{10}[/tex]

Step-by-step explanation:

Given

[tex]Length = 6g^3h^5[/tex]

Required

Determine the area as a monomial

This is calculated as:

[tex]Area = Length * Length[/tex]

[tex]Area= 6g^3h^5*6g^3h^5[/tex]

This can be rewritten as:

[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]

Apply law of indices

[tex]Area= 36*g^6*h^{10}[/tex]

[tex]Area= 36g^6h^{10}[/tex]

Answer:

closest option B (50.24)

Step-by-step explanation:

A=πr²

= π×4×4

=π×16

=50.265m²

Area:

50.24 m^2

Explanation:

The formula for the area of a circle is A = πr²,

where:

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 4\ m}\end{picture}[/tex]

Plug in the data. I'll use 3.14 for pi.

[tex]\bf{A=\pi \times4^2}\\\bf{A=3.14\times16}\\\bf{A=50.24\:m^2}[/tex]

Hence, area = 50.24 m^2

Answer:

83.6 degrees

Step-by-step explanation:

Answer:

143m

Step-by-step explanation:

Answer:

228

Step-by-step explanation:

ANOTHER QUESTOIn?

Answer:

25.13

Step-by-step explanation:

To find the diameter C = 2 π x r

[tex](x - a)(x - b)[/tex]

Step-By-Step Explanations:

1) Factor out the common term in the first two terms, then in the last two terms.

[tex]x(x - a) - b(x - a)[/tex]

2) Factor out the common term x - a.

[tex](x - a)(x - b)[/tex]

Therefor, the answer is ( x - a ) ( x - b ).

Answer:

24

Step-by-step explanation:

Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]

Which is 49 + b = 625

Subtract the difference 625 - 49. then you get the following

b = 576

Finally find the square root of this number and that's your answer: 24

Answer:

by using Pythagoras law

third side =√(25²-7²)=24

Answer:

21

Step-by-step explanation:

Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

Answer:

C. x = 10

Step-by-step explanation:

By Pythagoras Theorem:

[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Correct choice is C

Answer:

x=6

Step-by-step explanation:

6x+4=2x+28

4x=24

x=6

Answer:

Don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Step-by-step explanation:

Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:

[tex]A = w\cdot l[/tex] (1)

[tex]p = 2\cdot (w+l)[/tex] (2)

Donde:

[tex]A[/tex] - Área, en metros cuadrados.

[tex]p[/tex] - Perímetro, en metros.

[tex]w[/tex] - Ancho, en metros.

[tex]l[/tex] - Longitud, en metros.

Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):

[tex]w = \frac{p}{2}-l[/tex]

Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:

[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]

[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)

A continuación, obtenemos la primera y segunda derivada de (3):

[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)

[tex]A'' = -2[/tex] (5)

Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:

[tex]\frac{p}{2}-2\cdot l = 0[/tex]

[tex]2\cdot l = \frac{p}{2}[/tex]

[tex]l = \frac{p}{4}[/tex]

Por (5), sabemos que ese valor crítico está asociado al área máxima.

Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:

[tex]l = 25\,m[/tex]

Ahora, tenemos el ancho de la figura por (2):

[tex]w = \frac{p}{2}-l[/tex]

[tex]w = 25\,m[/tex]

En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Answer:

See if this is helpful

Answer:

x³ - 1

Step-by-step explanation:

Given

(x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

x³ + x² + x - x² - x - 1 ← collect like terms

= x³ - 1

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

Answer: 22/13

Step-by-step explanation:

65e = 110

Divide 63 on both sides anyou get 22/13

Answer:

1, 2

Step-by-step explanation:

the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.

Answer:

A= 24!

Step-by-step explanation:

just subtract 19 from 43, and that will give you what A equals!

Answer:

24

Step-by-step explanation:

43-19= 24

24+19= 43

Answer: $10,000

Step-by-step explanation:

Lanna's dad stock worth will be the value of the total shares in both company A and company B.

Value of stock in company A = 100 × $45 = $4500

Value of stock in company B = 250 × $22 = $5500

Total stock worth = $4500 + $5500 = $10,000

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

Answer: 108$

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

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:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

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Answer:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid.

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

Answer: 4 is the scaling increment

Step-by-step explanation:

12/3 = 4

8/2 = 4

Answer:

1) true

2) false

3) true

4)false

Step-by-step explanation:

It's a number cube with 1-6

Answer:

Step-by-step explanation:

If y is proportional to x,

y ∝ x

y = kx

k = [tex]\frac{y}{x}[/tex]

Here, k = Proportionality constant

For y = -8 and x = -4,

k = [tex]\frac{-8}{-4}[/tex]

k = 2

For y = -4 and x = -2

k = [tex]\frac{-4}{-2}[/tex]

k = 2

For all values of x and y proportionality constant = 2.

For x = 0 and y = 0,

If we graph a line passing through these points, the line will pass through the origin (No y-intercept).

And we know that any line passing through the origin represents the proportional relation between x and y variables.

Therefore, given table represents the proportional relation.