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Answer:

[tex]A(t) = 600(1.035)^8[/tex]

The ending balance is of $790.1.

Step-by-step explanation:

Compound interest:

The amount of money earned after t years, in compound interest, is given by:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

$600 that earns 3.5% compound interest over 8 years

This means, respectively, that:

[tex]A(0) = 600, r = 0.035, t = 8[/tex]

So, the formula is:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

[tex]A(t) = 600(1+0.035)^{8}[/tex]

[tex]A(t) = 600(1.035)^8[/tex]

Ending balance:

The ending balance is:

[tex]A(t) = 600(1.035)^8 = 790.1[/tex]

The ending balance is of $790.1.

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

Answer:B, C and D are all correct

Step-by-step explanation:

Because, A. 3 (5 + b)

B. 5 (b + 3)

C. 5b + 15

D. 15 + 5b

E. 3 ⋅ 5 + 3b

Answer:

89

Step-by-step explanation:

Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:

tan(40)=x/100

x=100tan(40)=83.9

Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89

Final Answer: 89

The altitude of the hiker sitting on the bench of the hill is 89 feet.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The angle of elevation = 40°

Distance from base of the hill = 100 feet

Distance from the ground to the eye level = 5 feet

The diagram below shows the right angled triangle.

Let the altitude from the eye sight to the bench be x.

Total altitude = x + 5

The altitude of the hiker can be found by using trigonometric ratio,

[tex]tan\theta= \frac{opposite}{adjacent}[/tex]

⇒ [tex]tan 40=\frac{x}{100}[/tex]

⇒ [tex]0.8390=\frac{x}{100}[/tex]

⇒ [tex]x=83.90[/tex]

Total height = [tex]x+5[/tex]

⇒ [tex]83.90+5[/tex]

⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]

Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.

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Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

65.94

Step-by-step explanation:

2 + 3 = 5

r = 5

Small circle:

r = 2

A = πr²

A=(3.14)2²

A = 12.56

Large circle:

r = 5

A = πr²

A=(3.14)5²

A = 78.5

78.5 - 12.56 = 65.94

Answer:

28 units sqr

Step-by-step explanation:

Area of Rectangle

A= Lw = 8(4) = 32

Area of Triangle

A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4

32- 4 = 28 units sqr

There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.

In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².

In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².

In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².

In any case, the area of the shape is 22 m².

Answer:

C

Step-by-step explanation:

Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)

Answer:

C

Step-by-step explanation:

The solution of the given equation (x + 4)(x - 3) = -10 is -2.

Thus, option C is correct.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

Given equation:

Multiply the brackets,

(x + 4)(x - 3) = -10

[tex]x^2-3x+4x-12 = -10[/tex]

x^2 +x -12+10 =0

x^2 +x -2=0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

x= -2, x=1

Thus, option C is correct.

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Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

Answer:

32.2 feet

Step-by-step explanation:

Answer:

32.2

Step-by-step explanation:

9514 1404 393

Answer:

  G.  84.5 cm

Step-by-step explanation:

Assuming the lateral area is 6760π cm², we can find the height from ...

  A = 2πrh

  r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm

The radius of the can is 84.5 cm.

Answer:

G oogle it, you will get different answers.

Step-by-step explanation:

To gain employment as a teacher, at least a bachelor’s degree is required. Some teachers choose to major in the subject area they plan to teach, such as English, history, or biology, but it is generally not a requirement to do so. In many states, including California, Massachusetts, and Pennsylvania, a master’s degree is also required in order to obtain a teaching certificate. For any state you teach in, a certificate or license specific to that state is required. The certificate is typically given after prospective teachers pass a state-specific teaching exam. Some states also require that teachers have some supervised experienced teaching, or that they have completed a teacher preparation program.

Skills for teachers

Teachers should be comfortable with speaking in front of people, and should have strong communication skills. Organization is also an important skill for teachers, as creating lesson plans, grading and handing back assignments, and keeping students on track for state exams all require attention to detail and the ability to stay organized. It is also important for teachers to have the ability to stay calm in chaotic situations and to mediate between young students. Answer:

you

Step-by-step explanation:

Answer:

Step-by-step explanation:

[angle of sector]/360 x π x radius ² [formula to find area of a sector]

30/360 x π x 4²

Type into a calculator

4.18879

Answer:

75°,

mUV = 105°, the other 2 are both 75°. This means mTU = 75°

Answer:

.....................

Step-by-step explanation:

Responder:

Expressão monomial de terceiro grau

Explicação passo a passo:

O número de expressões de um termo algébrico. Contém é usado para nomeá-los em:

Monomial = 1 termo.

Binomial = 2 termos

Trinomial e assim por diante; A expressão fornecida acima contém apenas um único termo '7x³', portanto, é uma expressão monomial. A maior potência em que a variável na equação quadrática é elevada é chamada de potência;

A expressão acima é elevada à potência 3. Portanto, a equação quadrática é um monômio elevado à potência 3.

Portanto, é um monômio de terceiro grau.

Answer:

32

Step-by-step explanation:

Answer:

The decay rate is of 0.05 = 5% per minute.

Step-by-step explanation:

Continuous exponential decay model:

The exponential equation of decay for an amount, after t units of time, is given by:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.

A pizza is removed from the oven at a temperature of 425 F.

This means that [tex]A(0) = 425[/tex]

After 15 minutes, the pizza has cooled to 200°F.

This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]

We use this to find r.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]200 = 425e^{-15r}[/tex]

[tex]e^{-15r} = \frac{200}{425}[/tex]

[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]

[tex]-15r = \ln{\frac{200}{425}}[/tex]

[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]

[tex]r = 0.05[/tex]

The decay rate is of 0.05 = 5% per minute.

Answer: the answer is A

Step-by-step explanation:

u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)

Answer:

226.80

Step-by-step explanation:

Answer:

$226.8

Step-by-step explanation:

you take 210 and times it by 8%

210 x 8%(.08)= 16.8

then add that 16.8 back to the 210

210+16.8= 226.8

Answer:

x = 1.5

Step-by-step explanation:

8x + 8 - 3x - 12 = 14 - 7x

5x - 4 = 14 - 7x

-4 = 14 - 12x

-18 = -12x

x = 18/12 or 3/2

Answer:

[tex]4x^2 -4x - 48 = 0[/tex]

Step-by-step explanation:

Given

[tex]x= -3 \ or\ 4[/tex] -- roots

[tex]n= 4[/tex] --- leading coefficient

Required

Calculate the quadratic equation

[tex]x= -3 \ or\ 4[/tex]

Split to 2:

[tex]x = -3\ or\ x = 4[/tex]

Equate both to 0

[tex]x +3 = 0\ or\ x - 4= 0[/tex]

Multiply both together:

[tex](x + 3) * (x - 4) = 0 * 0[/tex]

[tex](x + 3) * (x - 4) = 0[/tex]

[tex]x^2 -4x +3x - 12 = 0[/tex]

[tex]x^2 -x - 12 = 0[/tex]

Multiply both sides by the leading coefficient, n

[tex]n * [x^2 -x - 12] = 0 * n[/tex]

[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]

[tex]4 * [x^2 -x - 12] = 0[/tex]

Open brackets

[tex]4x^2 -4x - 48 = 0[/tex]

Answer:

it's simple just divide

Answer:

10

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

140

∘

Each interior angle of regular polygon of n sides is given by  

n

180(n−2)

​

 degree

∴ each interior angle =

9

180(9−2)

​

degree

=20×7

=140

Answer:

$ 602.7

Step-by-step explanation:

2009$ x 30% = 602.7