Frank deposits 5350.00 in a savings account. The account pays an annual Interest rate of 1%. Ile makes no other deposits or withdrawals. After 3 months, the interest is calculated. How much simple interest did his money earn? A) $1.17 B) $3.60 C) $6.50 D) $14.00​

The frequency of the sine function is given as follows:

F = 0.5/π Hz.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

For the function y = sin(x), we have that B = 1, hence the period is given as follows:

P = 2π/B

P = 2π.

The frequency is one divided by the period, hence:

F = 1/P

F = 1/2π

F = 0.5/π Hz.

More can be learned about trigonometric functions at brainly.com/question/21558626

#SPJ1

Answer:

\(F=\dfrac{1}{2\pi}\; \sf Hz\)

Step-by-step explanation:

The frequency of a sinusoidal wave refers to the rate at which the wave completes one full cycle, typically measured in Hertz (Hz), where 1 Hz signifies one complete oscillation of the wave in one second.

The period of a sinusoidal wave is the amount of time it takes for the wave to complete one complete oscillation.

The frequency (F) of a sinusoidal wave can be determined from its period (P) using the formula:

\(\boxed{F=\dfrac{1}{P}}\)

The sine function y = sin(x) completes one full cycle over the interval [0, 2π]. Therefore, its period is P = 2π.

To calculate the frequency (F), substitute P = 2π into the frequency formula:

\(F=\dfrac{1}{P}=\dfrac{1}{2\pi}\; \sf Hz\)

Answer:

can you give me an brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.

The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.

For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.

Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.

In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.

Learn more about variable here:

https://brainly.com/question/1511425

#SPJ11

Froude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis.

Froude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis. In this way, the same model can be used to represent different real-world systems, as the parameters that affect the performance of the model can be scaled up or down. This type of analysis allows for the study of a wide range of physical phenomena, from the motion of ships and aircraft to the flow of fluids through pipes and valves.

Learn more about Dimensionless Analysis: https://brainly.com/question/24481616

#SPJ4

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

To know more about Expression visit-

brainly.com/question/14083225

#SPJ11

So the answer is 1.3 after rounding to 10.

Step-by-step explanation:

at most 5 sec means the light must be yellow or green

time for green is 40

40+5 = 45

total time of cycle

40+5+30

= 75

so probability = 45/75

9/15 should be correct as of my knowlege do u know right answer then tell

%= 9/15*100= 60%

Answer:

-9

Step-by-step explanation:

4+(-9)-4

4+(-13)

-9

Answer:

-9

4 + -9 - 4

4 + -9 + -4

4 + -13 = -9

the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

To know more about variable with the given

https://brainly.com/question/14083225

#SPJ4

The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).

To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.

To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.

To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.

Therefore, the turning point of the parabola is approximately (-0.5, -3.25).

From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.

Learn more about parabola here:

brainly.com/question/11911877

#SPJ11

Answer:

i think D

Step-by-step explanation:

Answer:

F(x) = x^2+3

Step-by-step explanation:

B. F(x) = x² + 3 is the correct answer.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Horizontal translation: g(x)=f(x+c).

The graph is translated c units to the left if c>0 and c units to the right if c<0.

Vertical translation: g(x)=f(x)+k.

The graph is translated k units upward if k>0 and k units downward if k<0.

Since F(x) has the same shape as G(x) = x^2, but it is shifted up 3 units, we can write:

F(x) = G(x) + 3

F(x) = x² + 3

Therefore, the correct answer is B. F(x) = x² + 3.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

By proving the explanation, It is established that a positive integer is expressible as the difference between two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ.

To prove that a positive integer is expressible as the difference of two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ, we will demonstrate two separate cases:

Case 1: If a positive integer is expressible as the difference between two squares of integers, then it is not of form 4n+2.

Assume there exists a positive integer, k, that can be expressed as the difference of two squares of integers, i.e., k = m² - n², where m and n are integers.

We can rewrite the expression as k = (m - n)(m + n).

Now, consider the parity of the terms (m - n) and (m + n).

If both (m - n) and (m + n) are even, then k would be divisible by 4, as it would have a factor of 2 from each term.

In this case, k cannot be of the form 4n+2.

If both (m - n) and (m + n) are odd, then their sum (m - n) + (m + n) would be even. In this case, k cannot be of the form 4n+2.

If one of (m - n) or (m + n) is odd and the other is even, their sum (m - n) + (m + n) would be odd. In this case, k cannot be of the form 4n+2.

Thus, in all cases, if k is expressible as the difference between two squares of integers, it cannot be of form 4n+2.

Case 2: If a positive integer is not of the form 4n+2, then it is expressible as the difference of two squares of integers.

Assume a positive integer, k is not of form 4n+2, where n ∈ ℤ.

Consider the two cases of k being odd or k being even:

If k is odd, we can represent k as k = (k+1)/2 - (k-1)/2.

Both (k+1)/2 and (k-1)/2 are integers, so k can be expressed as the difference between two squares of integers.

If k is even, we can represent k as k = (k/2)²- (k/2 - 1)².

Both (k/2)² and (k/2 - 1)² are squares of integers, so k can be expressed as the difference between two squares of integers.

Therefore, if a positive integer is not of form 4n+2, it is expressible as the difference of two squares of integers.

By proving the above explanation, It is established that a positive integer is expressible as the difference between two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ.

Learn more about Integers at

https://brainly.com/question/18380011

#SPJ4

By direct division, we will find that the length of each piece of rope is 10.5m

So e start with a 42 meter long rope and we cut it into 4 equal parts, then we know that each one of these pieces will have a length equal to:

L = (42m/4)

To perform that division, you can see that 42 is not a multiple of 4, so we can write:

L = (40m + 2m)/4 = (40m/4) + (2m/4)

The first quotient is just equal to 10m, while the second one is:

(2m/4) = (1m/2) = 0.5m

Then we have:

L =  (40m/4) + (2m/4) = 10m + 0.5m = 10.5m

Each piece of rope has a length of 10.5m

If you want to learn more about divisions, you can read:

https://brainly.com/question/7068223

Answer:

the answer to your question is 3 and 34

Answer: 1. A) 2/5 B) X= -5 Y= 2

2. A) -3/2 B) X= 2 Y= 3

3. A) -2/3 B) X= -3 Y= -2

Step-by-step explanation: A) Look where the line intersects perfectly through a corner of one of the boxes, find the next one closes to that count how many it goes up and how many across. Rise/Run so the amount it goes up goes on the top of the fraction and the amount across on the bottom of the fraction.

B) This is where the line intersects the X and Y axis

A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.

Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.

Volume is defined as the amount of space that a three-dimensional shape occupies.

The volume of a rectangular prism can be calculated using the formula below.

V = l x w x h

where V = volume

l = length

w = width

h = height or depth

Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.

V = l x w x h

V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³

V = 124 cubic meters

Learn more about volume of a rectangular prism here: https://brainly.com/question/23717073

#SPJ4

The position is at its maximum (positive) value is given by
t = (2nπ - 0.14π) / 4.094, where n is the smallest positive integer that satisfies the equation.

To find the first time (t > 0) when the position is at its maximum (positive) value, we need to determine the values of t that satisfy the condition x = max(x), where x is given by x = (0.0553 m) cos(4.094t + 0.14π).

To find the maximum value of the cosine function, we know that the maximum value of cosθ is 1. Therefore, we need to solve the equation (0.0553 m) cos(4.094t + 0.14π) = 0.0553 m.

Simplifying the equation, we have cos(4.094t + 0.14π) = 1.

Since the cosine function has a period of 2π, we can write the equation as 4.094t + 0.14π = 2nπ, where n is an integer.

Solving for t, we have t = (2nπ - 0.14π) / 4.094.

To find the first positive value of t, we need to find the smallest positive integer value of n that satisfies the equation.

In summary, the first time (t > 0) that the position is at its maximum (positive) value is given by t = (2nπ - 0.14π) / 4.094, where n is the smallest positive integer that satisfies the equation.

Learn more about cosine function here:-brainly.com/question/3876065

#SPJ11

Answer: 11 and 8 or 10 and 9

Step-by-step explanation:

sorry if I'm wrong but i'm trying

Answer:

x=25

Step-by-step explanation:

x+5+6x=180

7x+5=180

7x=175

x=25

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

to know more about graph refer here

https://brainly.com/question/17267403#

#SPJ11

The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.

Let's consider the following interpretation:

Domain of discourse: {1, 2}

A(x): x is even

B(x): x is odd

Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).

However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.

Learn more about domain here:

https://brainly.com/question/28135761

#SPJ11

In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).

In triangle ABC,

According to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.

Hence,

SA/SB=CT/BT

⇒SA/10=2.7/9

⇒SA=(2.7*10)/9

⇒SA=3

So, the length of SA is 3 ft.

Therefore the 3rd option is correct.

Learn more about the triangle proportionality theory

https://brainly.com/question/11807262?referrer=searchResults

#SPJ10

Answer:

First thing is to plot the point (0,1) then from there, go down 9 units and right 1 unit, then connect the points and extend the line to cover the full graph.

Step-by-step explanation:

\(x = 10\)

Given:

\(\frac{x -1}{3} = k \text{ where } k = 3\)

Solving for \(x\):

\(\frac{x -1}{3} = k \text{ where } k = 3\\ \frac{x -1}{3} = 3 \\ \frac{x -1}{3} \cdot 3 = 3 \cdot 3 \\ x -1 = 9 \\ x -1 +1 = 9 +1 \\ x = 10\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( \large \frac{x - 1}{3} = k \: and \:k = 3 \)

__________________________________________

\(\large\bf{\underline{Putting\: the\:value\:of\:k}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹ \large \frac{x - 1}{3} = 3\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹\large {x - 1 = 3 \times 3}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹\large{x = 9 + 1}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹\large{x = 10}\)

__________________________________________

\(\large\bf{\underline{Hence}}\)

\(\huge{⟹x = 10}\)

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

To find the order of matrix:

To prove:

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

Know more about matrix here:

https://brainly.com/question/24079385

#SPJ4

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped