Lily invested $5000 at 3% interest componded annually. What is the balance in the
account after 8 years?

Answer:

1280

Step-by-step explanation:

divide 1400 by 210

then multiply by 18

subtract that answer (120) from 1400,

and you get 1280

Answer:

An integer can be negative or positive, so if the integer is, let's say, -6. The opposite, or absolute value, of -6, is 6. So in this case, the opposite has more value than the actual integer. Does that answer the question? :D

Answer:

No

Step-by-step explanation:

I am assuming the "opposite" is its reciprocal

If an integer is negative ex: -2, then its reciprocal: -1/2 is larger.

Answer:

+- 1/4,1/2,1,2,4

5 solutions.

Step-by-step explanation:

so first we have to do this using the theorum we find all the divors of -2

so +-2, +-1/ +-2,+-1,+-4 so there would be 5 solutions.

+- 1/4,1/2,1,2,4

if my answer helps please mark as brainliest.

Transforming the function f(x) = 2x by compression of a factor of 1/4 gives g(x) = 1/2x

Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f(x) = x2 + 3 is obtained by just moving the graph of g(x) = x2 by 3 units up. Function transformations are very helpful in graphing the functions just by moving/expanding/compressing/reflecting the curve without actually needing to graph it from scratch.

In the given function;

f(x)= 2x;

After a compression by a factor of 1/4, the function becomes

g(x) = 2x * 1/4 = 1/2x

The compressed function g(x) is 1/2x

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Answer:

Step-by-step explanation:

90 degrees is the answer because there is no movement

Answer:

$502.40

Step-by-step explanation:

Kristen works 38 hours for $6.80 per hour.

We multiply her pay and the hours she worked:

                   38 × 6.8 = 258.4

Thus, she makes $258.40/week

                   Now we add her tips, which would be the equation 258.4 + 224

     258.4 + 224 = 502.4

So, she made $502.40 in 1 week

Answer:

$33.75; 25+1.75x

Step-by-step explanation:

a) cost = membership fee + cost of pizzas

= 25 + 1.75*5

= 25 + 8.75

= ($) 33.75

b) cost = 25 + 1.75x

Answer:

-8x+35=19

-8(2)+35=19

-8×2= -16

-16+35=19.

Answer:

x=2

Step-by-step explanation:

19=-8x+35

subtract 35 from 19

-16=8x

divide -16 by -8

x=2

Answer:

The first option.

Step-by-step explanation:

y-intercept equation: y=mx+b

mx=slope

b=y-intercept

Looking at the graph, we can know that the slope is 1/3x so we can eliminate the 2nd choice. Now, we fix the second inequality into the y-intercept form which is

1st option: y>3x-2

3rd option: y>-3x+2

4th option: y>2x-2

Now, looking at the blue graph, the slope is 3x. And looking at the y-intercept,  it is on -2.

So, it will be the first option!

Hope this helps, and BRAINLIEST would help me a lot!

Answer:

b fx =-,3 x

2-3 ry ty negative 8

Step-by-step explanation:

kailangan nho nlNc sagotan

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

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The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

To learn more about the probability from the given link

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The coordinates of the resulting point, E' are (-3, -5)

The point is given as:

E = (3, -5)

The reflection is given as:

Reflection across the y-axis

The rule of reflection across the y-axis is

(x, y) = (-x, y)

So, we have:

E' = (-3, -5)

Hence, the coordinates of the resulting point, E' are (-3, -5)

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

16

Explanation:

To round to the nearest whole number, we need to identify the number after the decimal point. If the is greater than 5, we can round 15.998 as 16.

If the number is lower than 5, the approximation is 15.

Since the number after the decimal is 9, we can round 15.998 as 16.

Answer:

  70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Each inch represents 10 feet, so 7 inches will represent ...

  7 × 10 ft = 70 ft

The gym is 70 ft wide.

__

Additional comment

You can also write and solve an equation that shows the measures are proportional:

  actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

  gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Answer:

9

Step-by-step explanation:

You don't need to pass through each edge once.

If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:

A-1-B

A-B

A-2-B

A-1-B-A-2-B

A-2-B-A-1-B

A-B-1-A-2-B

A-B-2-A-1-B

A-1-B-2-A-B

A-2-B-1-A-B

Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.

Hope this helps!

Answer:

B. 2

Step-by-step explanation:

So when we are dealing with exponents identify the following terms

Base:  the number being multiplied by itself

Exponent: the number of times you multiply the base number by itself

So in this problem we would have to find what x is in order to find our exponents, you can do this by substiting each number for x and solving as  is

\(3^4=3*3*3*3=81\)

\(9^2=9*9=81\)

The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies V=\cfrac{4\pi 2^3}{3} \\\\\\ V=\cfrac{4(3.14) 2^3}{3}\implies V=33.49~yd^2\)

Answer:

33.49 yds^3

Step-by-step explanation:

the volume formula for a sphere is 4/3 pi r^3

so just fill in r with 2 and the pi with 3.14 and it becomes 4/3 times 3.14 times 2^3 which would equal 33.49 yds ^3 (im pretty sure at least)

Answer

angle 5 = 31°

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

---------------

Let the radius be r.

Use circumference formula and find the value of r:

Find the area using the circle area formula:

The matching choice is (B).

Answer:

Step-by-step explanation:

Sample unit: students

Sample size: 49

Variable: number of hours spent on the computer per week

There are 5 classes. The 5th class (the last one) of the table is:

14.0 - 17.4

Its upper-class limit of the 5th class is 17.4 hours

Answer: B. subtract

Step-by-step explanation: x-5=12

5-5

Answer:

Hello. The answer is A.

Step-by-step explanation:

You should add five to left side to make x alone.

For avoiding changing the equation you should add another five to left side.

I hope you understand

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

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Answer:

1. Not a function: the x input is repeated twice.

2. https://brainly.com/question/5008648