Roman saves $500 each year in an account earning interest at an annual rate of 4% compounded annually. How much interest will the account earn at the end of the first 2 years?

Answer:

Okay? whats the question

Step-by-step explanation:

Answer:

b= -81

Step-by-step explanation:

b/27 = -3

Multiply both sides by 27 and simplify

Answer:

6, 2, 14

Step-by-step explanation:

[tex]x=-2 \implies x<1 \implies f(-2)=2(-2)^2-2=6 \\ \\ x=1 \implies 1 \leq x<2 \implies f(1)=2 \\ \\ x=2 \implies x \geq 1 \implies f(2)=4(2)^2-2=14[/tex]

Answer:

Monday class is 1 3 hours and the Friday class is 1 1 hours. 4 2Patrick attended both exe

Step-by-step explanation:

y  = -x +2 an equation in slope-intercept form of the line that bisects the angle.

What exactly does slope intercept mean?

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

y - y₁  = y₂ - y₁/x₂ - x₁  ( x - x₁)

y - 3 = 4 - 3 / - 2 - ( -1)  ( x - ( -1)

y - 3 = 1/-1 ( x + 1 )

y - 3 = -x -1

Add 3 on both sides

y = -x -1 + 3

y  = -x +2

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Answer:

x = 12

Step-by-step explanation:

Vertical angles are congruent

50 = 4x + 2  Subtract 2 from both sides

48 = 4x  Divide both sides by 4

12 = x

Answer:

Possibly Design and 3d printing

Step-by-step explanation:

3D printing and design requires precise measurements and angles. Maybe you can look into jobs with these requirements?

Hope this helped :)  

Answer:

Careers that involve math

Step-by-step explanation:

Answer:

4.67

Step-by-step explanation:

Answer:

86????

Step-by-step explanation:

I am not certain, but wouldn't it be 86?

The radius of a circle is determined as  27.95 units.

Now the formula for the arc length when the central angle is given in the degrees;

arc length  = (θ/360°)×(2πr)

Where, r is the radius of the circle and π = 3.14.

Write the formula for r;

r = (arc length/2π)×(360°/θ)

For the given values in question;

arc length = 82 central angle = 135 degrees.

r = (82/2×3.14)×(360°/135°)

r = (13.05)×(2.67)

r = 27.95

Therefore, the radius of the circle is found as 27.95 units.

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Answer:

identify my own strengths

interests and challenge

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (500)(0.07)(8) \implies I = 280[/tex]

Answer:

$280

Step-by-step explanation:

500x7%=35

35x8=280

Based on the information provided,  neither Brandi nor Sharana jogged at a slower rate.

Rate can be defined as the speed at which an event happens or an object moves over a particular period of time.

It is also known as the ratio at which two or more term, quantities or objects with different units are compared.

The formula for rate is expressed as;

Rate = distance/ time

From the information given, we have that;

Substitute the values

Brandi's rate = 1/ 30 = 0. 03

Sharana's rate = 1. 5/ 45 = 0. 33

From the values gotten, we can see that neither Brandi nor Sharana jogged at a slower rate.

Thus, neither Brandi nor Sharana jogged at a slower rate.

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Six hundred residents of a city are polled to obtain information on voting intentions in an upcoming city election. The 600 residents in this study is an example of a sample.

Those people who make up a sample are taken from a broader population. Sampling is the process of deciding which group you will use to gather data for your study.

In order for a sample to be representative of the population we are interested in investigating, each participant must have an equal chance of being randomly chosen for the study.

For example, you could interview a sample of 100 students if you were examining the attitudes of students at your university.

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Answer:

A

Step-by-step explanation:

1/3 x 0.5 = 1/6 which is a rational number

I think you should look up the meaning of rational number to know what is the correct answer

The linear function that contains the points (0,3) and (-1,5) is given by:

y = -2x + 3.

The graph is not given and I couldn't find the problem on a search engine, hence I am going to suppose that two points on the graph are (0,3) and (-1,5).

You can select the value of y when the function crosses the y-axes(y-intercept) and another point and follow the same procedure I am going to do here.

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

For this problem, we have that when x = 0, y = 3, hence the slope is of b = 3. When x = -1, y = 5, hence the slope(change in y divided by change in x) is given by:

(3 - 5)/(0 - (-1)) = -2.

Hence the function is:

y = -2x + 3.

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An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . The simplified expression of  (6 x 10⁻⁴)(6 x10⁻⁶) is 36 x10⁻¹⁰.

An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

(6 x 10⁻⁴)(6 x10⁻⁶) is the given expression

Now multiply 6 with 6 and   10⁻⁴ with 10⁻⁶

36 x 10⁻⁴x  10⁻⁶

We need to add the powers of same base.

36 x10⁻⁴⁻⁶

36 x10⁻¹⁰

Therefore the simplified expression of (6 x 10⁻⁴)(6 x 10⁻⁶) is 36 x10⁻¹⁰.

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Answer:

-60x+(-85y)

Step-by-step explanation:

Answer:

B,A

Step-by-step explanation:

hope that's right

The sum of all decent fractions with a denominator of 20 is 4.

Thus, option (d) is correct.

To find the sum of all decent fractions whose denominator is equal to 20, consider fractions with numerators that are coprime to 20 (i.e., the numerator and 20 have no common factors other than 1).

The decent fractions with a denominator of 20 can be written as:

1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, and 19/20.

To find the sum, add up these fractions:

Sum = 1/20 + 3/20 + 7/20 + 9/20 + 11/20 + 13/20 + 17/20 + 19/20

Sum = (1 + 3 + 7 + 9 + 11 + 13 + 17 + 19) / 20

Sum = 80 / 20

Sum = 4

Therefore, the sum of all decent fractions with a denominator of 20 is 4.

Thus, option (d) is correct.

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Answer:

Number 1 is 4

Number 2 is 10

Step-by-step explanation:

Number 1 is x

Number 2 is 3x - 2

so x + (3x - 2) = 14

x + 3x - 2 = 14

4x = 14 + 2

4x = 16

x  = 4

so

Number 1 is 4

Number 2 is 3(4) - 2 = 10

The correct algebra properties are listed below:

In this problem we find nine cases of mathematical operations with real numbers, each case has to be defined by defining the appropriate property according to real algebra. Now we proceed to define each case:

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Answer: the answer is: 500,000

Answer:

The answer is 4,000.

Step-by-step explanation:

The closest to 35xn= 3,465

Answer:

Step-by-step explanation:

35 to the nearest 10 is 40 and 99 to the nearest 10 is 100 so 4 times 100 is 4,000 so your answer should be d. 4,000

The function y = 7 / 8 ( 18 ) ˣ is an exponential growth function.

An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.

We are given a function:

y = 7 / 8 ( 18 ) ˣ

We need to tell whether is is a exponential growth or decay function.

We can see that the value of a ˣ = (18) ˣ

So, the value of a = 18.

Since, it is an integer and not a fraction, its value will increase with the increase in exponent x.

So, it will be a exponential growth function.

Therefore, we get that, the function y = 7 / 8 ( 18 ) ˣ is an exponential growth function.

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No, all functions do not have an inverse functions. Those that do exists named invertible.

The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.

No, all functions do not have an inverse functions. Those that do are called invertible.

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

A function that gives the length of the hypotenuse of an isosceles right triangle with side length s is given by h(s)=s√2 and the length of the side of the triangle is approximately 4.24 inches.

The hypotenuse of a right angled triangle is defined as the longest side of the triangle. The hypotenuse is also located opposite the right angle.

From the Pythagorean Theorem we know that for a right angled triangle, the sum of the square of the legs of the triangle is equal to the square of the hypotenuse.

Given legs of the right triangle is s. Let us consider a function h(s) for the hypotenuse.

Therefore we can define the function h(s) as

h(s)=s√2

The inverse of the function can be written as

y=s√2

or, s=y²/2

Hence the inverse function is:

h⁻¹(s)=s²/2

Now for hypotenuse = 6 inches.

Each side can be calculated using the inverse function h⁻¹(s)=s²/2.

s=6÷√2

or, s=4.242...

Hence the length of the side of the triangle is approximately 4.24 inches.

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a. Han wrote (1/2, 0) as x-intercept of the line instead of (2, 0).

b. The x-intercept: (2, 0)

The y-intercept: (0, 5)

The y-intercept of a line is the corresponding value of y when the value of x is equal to zero.

On the other hand, the x-intercept of a line is the corresponding value of x when the value of y is equal to zero.

Y-intercept is (0, b), while x-intercept is (b, 0), where b is the value of the point on the axis that is being intercepted.

In slope-intercept form, y = mx + b or y = b + mx, the y-intercept is represented as b, which is (0, b).

Given the equation in slope-intercept form as y = 5 - 10/4x, the y-intercept, b = 5. Therefore, is expressed as (0, 5).

To find the x-intercept, substitute y = 0 into y = 5 - 10/4x:

0 = 5 - 10/4x

Solve for x

-5 = -10/4x

-20 = -10x

-20/-10 = x

x = 2

The x-intercept is (2, 0), while the y-intercept is (0, 5).

Therefore:

a. The Han got the x-intercept wrong, it should be (2, 0), not (1/2, 0).

b. The x-intercept is (2, 0), while the y-intercept is (0, 5).

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