Alyson deposits $500 in the bank for 12 years. The bank offers her a 4% interest rate compounded monthly. How much money will be in her account at the end
of the 12 years? (Remember to round your answer to the nearest cent.)

Answer:

Solving a system of equations by substitution involves isolating a variable in one equation, then substituting that expression into the other equation. This allows you to solve for the remaining variable in one equation and then substitute it back into the first equation to find the solution for the other variable.

Here is the general process for solving a system of equations by substitution:

Isolate a variable in one of the equations. This is typically done by adding or subtracting one of the variables from both sides of the equation.

Substitute the isolated expression into the other equation by replacing the corresponding variable with the expression you found in step 1.

Solve the new equation for the remaining variable.

Substitute the value you found for the remaining variable back into the first equation and solve for the other variable.

Check your solution by substituting the values you found for the variables back into both equations to make sure they are true statements.

Write your solution in the form of an ordered pair (x, y)

An example of solving a system of equation by substitution :

2x + 3y = 8

4x - 3y = 2

Isolate a variable in one of the equations, for example:

3y = 8 - 2x

Substitute this expression into the other equation:

4x - 3(8 - 2x) = 2

Solve the new equation for the remaining variable:

4x - 24 + 6x = 2

10x = 26

x = 2.6

Substitute the value you found for x back into the first equation and solve for y:

2(2.6) + 3y = 8

5.2 + 3y = 8

3y = 2.8

y = 0.93

Check your solution by substituting the values you found for the variables back into both

The profit of the sales is (a) $27

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

This means that

Profit = 6x + 6 - x + 1

Evaluate the like terms

Profit = 5x + 7

When x = 4, we have

Profit = 5 * 4 + 7

Evaluate

Progit = 27

Hence, the profit is $27

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

A:$27

Step-by-step explanation:

i took the test and got it right

Answer:

  5) x = 5

  6) x ≈ 51.47

Step-by-step explanation:

It looks like you're being asked to solve for x the equations ...

These are solved in the way any such equation is solved, though you need a calculator to find the values of the trig functions.

Multiply by the denominator:

  x = 10·sin(30°) = 5

Multiply by x, then divide by cos(39°):

  x = 40/cos(39°) ≈ 51.47

The employer of Bill’s FICA  should withhold D. $24.92 in taxes

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

To solve this exercise, the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where:

Information about the problem:

Using the percentage formulate, we get how much FICA tax should his employer withhold:

n= (% * nt) / 100

n = (7.65 * $325.78)/100

n = $2492.22/100

n = $24.92

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

It is means the temperature of the water does not fall below [tex]$10^{\circ} \mathrm{C}$[/tex].

The exponential function, which develops exponentially, is a concept in mathematics. More exactly, it is the function, where e is the irrational Euler's constant, or about 2.71828.

where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. A function is assessed by being solved at a certain input value. When the growth rate and initial value are known, an exponential model can be found.

(a) initial temperature: [tex]$30^{\circ} \mathrm{C}$[/tex] it is y-intercept of the graph.

(b) For the first 30 minutes, as time inverses, the temperature decreases.

(c) the horizontal asymptote: y = 10

It is means the temperature of the water does not fall below [tex]$10^{\circ} \mathrm{C}$[/tex].

The complete question is:

Some water is placed in a bottle inside a refrigerator. Suppose the water's temperature [tex]$\left(n^{\circ} \mathrm{C}\right)$[/tex] after minutes can be modeled with an exponential function. The graph of this function is shown below. Use the model to answer the parts to the right.

(a) What is the initial temperature [tex]$\times_6$[/tex] of the water? [tex]$\square^{\circ} C$[/tex] The initial temperature is represented by the (Choose one) of the graph.

(b) For the first so minutes, as time increases, the temperature (Choose one) Temperature

(c) Give the equation of the asymptote. [tex]$y-a l^{\circ} \mathrm{Cl}$[/tex]

Choose the statement that best describes the meaning of the asymptote.

The temperature of the water Time (minutes) does not fall below [tex]$10^{\circ} \mathrm{C}$[/tex].

The water cannot be in the bottle for more than so minutes.

To learn more about exponential function refer to:

https://brainly.com/question/2456547

#SPJ1

The zeros of polynomial 4x² - 1 are x = 1/2 and x = -1/2

Let us assume that given polynomial be p(x) = 4x² - 1

We know that from the definition of zeros , the zeros of a polynomial are nothing but the values of the variable of the polynomial that makes the polynomial value equal to 0.

To find the zeros of polynomial p(x), we need to equate p(x) to zero then solve it for x.

⇒ p(x) = 0

⇒ 4x² - 1 = 0

⇒ 4x² = 1

⇒ x² = 1/4

⇒ x = ±(1/2)

Thus x = 1/2 and x = -1/2 are zeros of given polynomial.

Learn more about polynomial here:

https://brainly.com/question/28936357

#SPJ4  

The complete question is:

What are the zeros of the polynomial 4x² - 1 ?.

To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.

If 12 workers can complete a building project in 54 days, to determine this we can divide the rate of work by the number of workers by the number of days: 12 workers / 54 days = 0.2222 workers/day.

If the construction manager wants to complete the project in 36 days, he needs to increase the rate of work to complete the project in that shorter timeframe. To do this, he can add more workers or increase the productivity of the current workers.

To determine how many more workers the manager needs, we can use the formula:

(number of workers) = (rate of work) x (number of days)

By plugging in the desired rate of work and number of days, we get:

(number of workers) = (0.2222 workers/day) x (36 days) = 7.999 workers

To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.

To learn more about the divide, visit:

brainly.com/question/15381501

#SPJ4

The new current in the circuit is 2.0 amps, which is 1/4th of the original current of 8.0 amps

The relationship between current, resistance, and voltage in an electrical circuit is governed by Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R).

This relationship is represented by the equation I = V/R.

If we know the current and the resistance in a circuit, we can use Ohm's Law to calculate the voltage. For example, if a circuit has a current of 8.0 amps and a resistance of R, then the voltage in the circuit is V = IR = 8.0R.

Now, let's consider the situation where the resistance in the circuit is increased by a factor of 4. If the original resistance was R, then the new resistance is 4*R. Therefore, the new resistance is 4 times greater than the original resistance.

Since Ohm's Law states that current is inversely proportional to resistance, when the resistance is increased by a factor of 4, the current will decrease by a factor of 1/4.

To find the new current, we can use the equation I = V/R, and knowing that V = IR = 8.0R. Then, we can solve for I:

I = V/R = 8.0R / (4R) = 8.0/4 = 2.0 amps

Thus, the new current in the circuit is 2.0 amps, which is 1/4th of the original current of 8.0 amps.

To know more about ohm's law refer to:

brainly.com/question/1247379

#SPJ4

No, a star does not have 5 angles.

A star is a two-dimensional shape that is made up of multiple straight lines. Each straight line must meet at a point, known as a vertex, which forms an angle.

The number of angles in a star depends on the number of points or vertices it has. A five-pointed star, for example, has five angles, each of which is equal to 36 degrees.

However, stars can have any number of vertices, meaning the angles may vary depending on the star.

A star is a two-dimensional shape that has a symmetrical arrangement of points. The points can vary in number, but typically a star has five or more points.

Each point corresponds to a corner of the star, but since a star does not have any sides, it is not possible for it to have five angles. Instead, the corners of the star form vertices, but no angles.

To learn more about star, click here:

https://brainly.com/question/7379319

#SPJ4

Answer:

Step-by-step explanation:

all 3 angles on a triangle add up to 180 degrees, so all triangles are 180 degrees.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{ -4 }{ 4 } \implies \text{\LARGE - 1}[/tex]

Step-by-step explanation:

48 miles in 1 hour 30 minutes (1.5 hours = 3/2 hours).

speed = distance/time

as mph is requested, the time is 1 hour.

in our case the direct speed ratio is

48/1.5

to bring that to the regular miles per 1 hour we need to transform it. here I would use fractions and simplify :

48/1.5 = 48/ 3/2 = (2×48)/(3×1) = 96/3 =

= 32/1 = 32 mph

the speed of the bus was 32 mph.

Answer:

75

Step-by-step explanation:

First, we solve

y - 16= 4

y = 20

Now we put 20 in for y and solve 3(y+5)

3(20+5)

3(25)

75

So, the answer is 75.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{y - 16 = 4 \rightarrow 3(y + 5)}\\\\\text{FIRST: Let us solve for the first equation}\\\mathsf{y - 16 = 4}\\\textbf{ADD 16 to BOTH SIDES}\\\mathsf{y - 16 + 16 = 4 + 16}\\\textbf{SIMPLIFY it}\\\mathsf{y = 4 + 16}}\\\mathsf{y = 20}\\\\\text{SECOND: Let us plug the value of y into our second equation}\\\mathsf{3(y + 5)}\\\mathsf{= 3(25 + 5)}}\\\mathsf{= 3(25) + 3(5)}\\\mathsf{= 75 + 15}}\\\mathsf{= 90}\\\\\huge\text{Therefore, your answer should be:}[/tex]

[tex]{\mathsf{y = 25 \ when\ we\ found\ \ the\ y-value\ we\ got \ 90 \ for \ the \ answer\ for the \ 2^{nd} \ equation}}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

In a factorial design study, (B) the interaction effect is often viewed as the most important influence.

In statistics, a full factorial experiment is one in which all potential combinations of the levels across all of the factors are taken into account by the experimental units.

A full factorial experiment has two or more factors with discrete possible values or "levels" in its design.

A fully crossed design is another name for a full factorial design.

The interaction effect in a factorial design study is typically regarded as the most significant effect.

Using such an experiment, the researcher can examine how each element affects the response variable as well as how different factors interact with one another.

Therefore, in a factorial design study, (B) the interaction effect is often viewed as the most important influence.

Know more about factorial design study here:

https://brainly.com/question/9363521

#SPJ4

Work Shown:

[tex]\sqrt{200} \times \sqrt{2}\\\\\sqrt{200 \times 2}\\\\\sqrt{400}\\\\\sqrt{20^2}\\\\20\\\\\text{Therefore, }\sqrt{200} \times \sqrt{2}=20\\\\[/tex]

The rules I used were:

[tex]\sqrt{A}*\sqrt{B} = \sqrt{AB}\\\\\sqrt{A^2} = A \ \ \text{ where } A \ge 0\\\\[/tex]

Answer:

(- 6, 0 )

Step-by-step explanation:

x - 4y = - 6 → (1)

2x - 12y = - 12 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate x

- 2x + 8y = 12 → (3)

add (2) and (3) term by term to eliminate x

(2x - 2x) + (- 12y + 8y) = - 12 + 12

0 - 4y = 0

- 4y = 0 , then

y = 0

substitute y = 0 into either of the 2 equations and solve for x

substituting into (1)

x - 4(0) = - 6

x - 0 = - 6

x = - 6

solution is (- 6, 0 )

Answer:

x = -6

y = 0

Step-by-step explanation:

For the first equation, x - 4y = -6, we can move -4y to isolate x. Then, the equation will be: x = -6 + 4y. Now, we can use that x to solve for the second equation, 2x - 12y = -12. Let's plug in x from the first equation down to the second one:

2(-6 + 4y) - 12y = -12

Let's solve:

-12 + 8y - 12y = -12

-4y = 0

y = 0

Now that we have y, we can solve for x. Let's plug in y = 0 for the first problem: x-4(0) = -6

x = -6

Answer:14

40 skittles times the percent of red40 * 0.35 = 14We then take that then subtract that from the total.40 - 14 = 2626 skittles were red.0.35 is equivalent to 35%Leave a thanks or a brainliest if this helped.

Answer:

Step-by-step explanation:

Equiangular triangle

Answer:

[tex] 2\sqrt[3]{12} [/tex]

Or in decimal notation 4.6

Step-by-step explanation:

[tex] \sqrt[3]{6} \times \sqrt[3]{16} \\ = \sqrt[3]{6} \times 2 \sqrt[3]{2} \\ = \sqrt[3]{6 \times 2} \times 2 \\ = \sqrt[3]{12} \times 2 \\ = 2 \sqrt[3]{12} \\ = 4.57885...[/tex]

The difference in income between the richest and poorest Citi zen I

called the wealth gap.

The unequal distribution of money and assets among the people is known as the wealth gap or wealth inequality. For instance, in 2014, the wealthiest 1% of Americans controlled 40% of the country's wealth, while the lowest 80% owned just 7%. It goes without saying that the wealth gap reinforces inequality, especially along racial and class lines.

The wealth gap, or economic or wealth inequality, is the solution. It is often quantified using many indicators, including consumption, income, and asset wealth.

Indices, such as the Gini coefficient, are used to represent the gap's size. National wealth discrepancies vary greatly across several nations. According to the global wealth gap, the richest 1% of the world's population would own two-thirds of the world's wealth by 2030.

Know more about wealth gap

https://brainly.com/question/1699477

#SPJ4

To write algebraic expression for an equivalent expressions, we need to be sure that each side of the equal sign amounts to the same number. An example of an equivalent equation would be:

4x + 2 = 2(2x + 1)

An algebraic expression is a sequence of numbers, variables, mathematical operations, and sometimes exponents. For example, 4x + 3 is a basic algebraic expression. Also see there is no equal sign in the algebraic expression. If so, it can be an equation or set of numbers containing one or more variables.

Equivalent Expressions: Equivalent expressions are expressions that look different but have the same value. Writing the equivalent formula makes it easier to work with and solve. Two Ways to Write the Equivalent Expressions :

1) Write expression using the distributed property:

2) Write equivalent expressions by combining same terms. Same terms are terms that have the same variables raised to the same powers. For example, the list shows several pairs of similar terms, 4t and 5t ; 9k³and 2k³ ; 1.4xy and 6.7xy.

To learn more about equivalent expresion , refer:

https://brainly.com/question/15775046

#SPJ4

The equation, y = mx + b, is the slope-intercept form of a straight line.

Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.

y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept.

The value of b is equal to y when x = 0, and m shows how steep the line is. The slope of the line is also called the gradient.

To find the equation of the straight line, we use the slope-intercept form, y = mx + b, where m is the slope of the line, b is the y-intercept of the line.

We can find the equation of a line in the form of y = mx + b, if the coordinates of points forming the line are known to us.

Thus, The equation, y = mx + b, is the slope-intercept form of a straight line.

To know more about slope-intercept form visit: brainly.com/question/29146348

#SPJ4

A partial sum limit is the sum of the series.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit.

A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums.

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.

Learn more about Partial sum:

https://brainly.com/question/24249275

#SPJ4

We can find the solution of y = -2x + 6 by graphing the equation by plotting the intercepts of the equation.

Here we can solve the equation by calculating the x and y intercepts of the equation.

This is done by equating the other coordinate to 0 to get the intercept.

For the x-intercept, we will take y to be 0 to get

-2x + 6 = 0

or, 2x = 6

or, x = 3

Hence one intercept will be (3 , 0)

For the y-intercept, we will let x be 0 to get

y = 6

Hence getting the other intercept to be (0 , 6)

Now we can plot the graph by simply plotting these points and drawing a straight line passing through it

To get any unique solution, another equation needs to be plotted and the intersection point of the 2 lines will give us the required answer.

To learn more about equations visit

https://brainly.com/question/30127282

#SPJ4

Complete Question

How do you solve y = -2x + 6?

Answer:

Step-by-step explanation:

The x -intercept is the point where y = 0 so:

7x - 5(0) = 35

x = 35/7 = 5

x-intercept is at (5, 0)

The y -intercept is the point where x = 0 so:

7(0) - 5y = 35

y = 35/-5 = -7

x-intercept is at (0, -7)

Answer:

x (5, 0)

y (7, 0)

Answer:

this is answer ️️️️️️

To write 8 more than a number, we use the mathematical operation of addition and the notation 8+ Number = N+8.

To write 8 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 8 + Number = N+8.

This notation means that we are adding 8 to a number, which results in N+8. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+8.

Another way to write 8 more than a number is to use the phrase "8 plus a number". This phrase indicates that we are adding 8 to a number to get N+8.

Therefore, In short, to write 8 more than a number, we use the mathematical operation of addition and the notation 8 + Number = N+8. This means that we are adding 8 to a number, resulting in N+8. It can also be written as "8 plus N", indicating the same operation.

To learn more about arithmetic operations,

Visit; brainly.com/question/16679150

#SPJ4

Answer:

y = -5/2x + 31

Step-by-step explanation:

The slope of the line parallel to the given line has the same slope, m = -5/2

Use the point-slope form:  y - y1 = m(x - x1) and the given point (10,6)

y - 6 = -5/2(x - 10)

y - 6 = -5/2(x + 50/2)

y - 6 = -5/2x + 25

y = -5/2x + 31

Using the pythagorean theorem: The length of the sides of a 45-45-90 triangle can be easily solved using the pythagorean theorem because it is a right angle triangle.

Recall the formula for the Pythagorean theorem: a 2 + b 2 = c 2; a 2 + b 2 = c2.

To determine the value of (mostly) the hypotenuse in a right triangle, the Pythagorean theorem uses the formula a2+b2=c2. The "non-hypotenuse" sides of the triangle (opposite and adjacent) are a and b.

The well-known geometric theorem known as the Pythagorean theorem states that the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the squares on the legs of a right triangle. This is known as a2 + b2 = c2.

To learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ4

The logarithmic function is inverse of expontial function that why graph of logarithmic function is draw according to features of expontial function.

The logarithmic function [tex] f(x) = log_{b}(x) [/tex] is the inverse of the exponential function y=bˣ. Clearly, the logarithm function must have domains and limits of (0, ∞) and (−∞,∞). The logarithmic function can be graphed by examining the graph of the exponential function and swapping x and y. Graphs of exponential functions f (x) = bˣ or y = bˣ include the following features:

For example, the graph above represents a logarithmic function, [tex] f(x) = log_{2}(x) [/tex].

To learn more about Logarithm function, refer:

https://brainly.com/question/30283912

#SPJ4