Ava borrows $600 to buy a bike at a yearly simple interest rate of 2.25%. Ava borrows the money for 3 years. How much does Ava pay in simple interest?

We have a formula that the area of a circle = radius squared multiply with π so the radius is the square root of the divison of the area of a circle and π

R= nearly 3.568 m.

Can you understand?

Answer:

no solution!

Step-by-step explanation:

The absolute value of a quantity is always non-negative, meaning it cannot be negative. However, in this equation, we have the absolute value of x + 4 equaling -8, which is a negative value. Therefore, there is no solution to this equation.

Answer:

1/3

Step-by-step explanation:

There are 2 different options to get a 1 or a 6 out of 6 total options, so:

2/6 = 1/3.

Answer:

.29

Step-by-step explanation: Subtract first by last

Answer:

0.29m longer

Step-by-step explanation:

Longest jump = 4.27m

Shortest jump = 3.98m

4.27 - 3.98 = 0.29m

Given the function:

To find the value of k(9), we will substitute with x = 9 into the function k(x)

so,

so, the answer is option C) 159

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

Answer:

3

Step-by-step explanation:

Y2-Y1/X1-X2 JUST SUBSTITUTE THE VALUES

The average rate of change of the function for the interval given in first part (a) is equal to -2 and the average rate of change for the second interval (b)  is = 5.

What about rate of change?

The rate of change is a mathematical concept that describes the speed at which a quantity is changing over a given period of time. It refers to how quickly or slowly a value is changing with respect to another value or variable. The rate of change can be calculated by finding the difference between two values and dividing that difference by the amount of time it took to achieve that difference.

Define about function:

A function is a relation between two sets of values, where each value in the first set (the domain) is associated with a unique value in the second set (the range). In other words, a function takes an input, performs a specific operation on it, and produces a unique output.

A function can be represented by an equation or a graph, and it can be described using different notations such as f(x) or y = f(x), where x is the input and y is the output.

According to the given information:

As, we know that the rate of change of the given interval is given in the form of (x) = \(\frac{fb) - f (a)}{b-a}\)

So, In first case (A) the value of a = -2 and b = 0

Rate of change is:

\(\frac{f(0) - f(-2)}{0-(-2)} \\\\\frac{-9 - (4-9)}{(0)+2} = -2\)

For the second case (B) the value of a = 2 and b = 3

Rate of change is:

\(\frac{f(3) - f(2)}{3-2} \\\\\frac{(9-9)-(4-9)}{3-2} = 5\)  

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Answer:

Vertex: (-1, 0)

Axis of Symmetry: x = -1

Step-by-step explanation:

Use a graphing calc.

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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The constant of proportionality in the equation is 5/4

The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.

The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In the problem, y = 5/4x

The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values

The term helps in relating x to y

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Answer:

this is great to hear I personally like light

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

1 is the right reason

Step-by-step explanation:

Answer:

i think its 3

Step-by-step explanation:

The graph of f(x) = x3(x + 3)(-5x + 1) using limits x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝ has the following end behavior: x , f(x) - and x -, f(x)

Given,

The equation of the function, f(x) = x³(x + 3)(–5x + 1)

Limits have given us:

The function changes as x gets closer to positive infinity.

f(∝) = (∝)^3(∝ + 3)(–5(∝) + 1)

Review the outputs and exponents.

f(∝) = (∝)(∝)(–∝ + 1)

Analyze the variation

f(∝) = (∝)(∝)(–∝)

Consider the product

f(∝) = -∝

Since a result, as  x ⇒ ∝, f(x) ⇒ -∝

Limits have given us:

The function changes as x gets closer to negative infinity.

f(-∝) = (-∝)^3(-∝ + 3)(–5(-∝) + 1)

Review the outputs and exponents.

f(-∝) = (-∝)(-∝)(∝ + 1)

Analyze the amount

f(-∝) = (-∝)(-∝)(∝)

Consider the product

f(-∝) = ∝

This indicates that as x ⇒ -∝, f(x) ⇒ ∝

As a result, the graph of f(x) = x3(x + 3)(-5x + 1) employing limits x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝ has the following final behavior: x -, f(x), and x -, f(x).

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\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 2x² + x - 3

The rate of change of the function for the interval between 0 to 2 is calculated as,

Average rate = [f(2) - f(0)] / [2 - 0]

Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2

Average rate = 10 / 2

Average rate = 5

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

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The remainder spent on phone cards is $187.2

From the question, we have the following parameters that can be used in our computation:

Amount = $360

He spends ½ on lunch, and a %4 on transportation

The remainder spent on phone cards is calculated as

Phone cards = (1 - 1/2 - 4%) * 360

Evaluate the product

Phone cards = 187.2

Hence, the amount is $187.2

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tax avoidance—An action taken to lessen tax liability and maximize after-tax income. tax evasion—The failure to pay or a deliberate underpayment of taxes.

I hope this helps :D

Answer:

Step-by-step explanation:

Tax Avoidance is using  legal methods to minimize tax liability

Tax evasion is just refusing to pay taxes.

The point at (-3, 4) is at a distance of 5 units from the point (0, 0).

For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:

distance = √( (x₁ - x₂)² + (y₁ - y₂)²)

In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:

distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5

The distance is 5 units.

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Answer:

11.3

Step-by-step explanation:

Replace B with 18 And divide 18 divided by 1 because its in () the subtract that by 6.7.

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

Answer:

  6.5e^(i·(-157.38°)) ≈ 6.5e^(-2.7468i)

Step-by-step explanation:

A suitable calculator can find the value of this ratio for you.

  ((2+3i)/(1-i))² = -6 -2.5i ≈ 6.5∠-157.38° ≈ 6.5e^(-2.7468i)

__

The second attachments shows the calculator set to radian mode for the angle measure.

There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer:

See below.

Step-by-step explanation:

You have to find the unit price.

1750/7=250

Now, multiply the unit price by the desired amount.

250*12=3000

So, 12 calculators will cost 3,000.

-hope it helps

Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

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