what is 50% more than 40

Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore,  the amount available for Peter's child education will be $147,330.55.

Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,

The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.

In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r

where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.

Using the above formula; the future value of Michael's savings is:

FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55

Therefore, the amount available for Peter's child education will be $147,330.55.

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Answer:

32.6 - y= 10.2

Step-by-step explanation:

The equation to solve this problem can be written as

32.6 - y= 10.2

Where y is the number that was substracted from 32.6.

If we make y subject of formula we have

y= (32.6-10.2)

y=22.4

Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2

Answer:

A. 32.6 - y= 10.2

Correct on Edge 2021

Answer:

5/6

Step-by-step explanation:

82% into decimal is 0.82

while 5/6 is 0.83

according to the number line system, 0.83 is greater than 0.82.

Answer:

A = 196 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = \(\frac{1}{2}\) perimeter × apothem

here perimeter = 56 and apothem = 7 , then

A = \(\frac{1}{2}\) × 56 × 7 = 28 × 7 = 196 units²

According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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Answer:

8 is a perfect cube

Step-by-step explanation:

8 = 2^3

Answer:

Step-by-step explanation:

As you can see above to get the next term you add 2 in the numerator and 1 in the denominator, then the next term is:

2x+4(2x+7)=3(2x+4)

2x+8x+28=6x+12

10x+28=6x+12

4x+28=12

4x=-16

x=-4

Answer:

4x²+20x+16=0

Step-by-step explanation:

First we can expand the right side:

\((2x+4)(2x+7) = 4x^{2} +8x+14x+28\)

Simplify:

\(4x^{2} +26x+28\)

Now we can expand the left side:

\(3(2x+4) = 6x+12\)

Now we equate both of them to each other:

\(4x^{2} +26x+28= 6x+12\)

To make this into a quadratic form we can subtract 6x+12 from both sides:

\(4x^{2} +26x+28 - (6x+12) = 6x+12- (6x+12)\)

Simplify

\(4x^{2} +20x+16 = 0\)

This is the equation in most simplified version.

The required cycle-time is approximately 57.6 seconds.

To find the required cycle time, we need to divide the total available time by the number of units to be produced.

Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds

Number of units to be produced: 1,000 units

Required cycle time: Total available time / Number of units

Cycle time = 57,600 seconds / 1,000 units

Cycle time ≈ 57.6 seconds

Therefore, the required cycle time is approximately 57.6 seconds.

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The coordinate of point x is 12

The number line that completes the question is added as an attachment

The ratio is given as:

mx :xj = 3:1.

Also, we have:

M = 2

J = 18

So, we have

x = mx/(mx + xj) * (J - M)

This gives

x = 3/4 * (18 - 2)

Evaluate

x = 12

Hence, the coordinate of point x is 12

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Answer:

x = -16

Step-by-step explanation:

\(7(x-5) =9x-3 \\7x -35 = 9x - 3\\3- 35 = 9x - 7x\\-32 = 2x\\x = \frac{-32}{2}\\\huge \red{\boxed{x = -16}}\)

Answer:

x = -16

Step-by-step explanation:

We are presented with the equation 7( x - 5 ) = 9x - 3 and we are asked to find the value of x. The first thing to do with equations with brackets is expand them out to make solving the equation easier. Then you want to collect all the 'x' terms to one side and all the numerical values to the other so we can make solving the equation easier.

→ 7( x - 5 ) = 9x - 3

⇒ Expand out the brackets

→ 7x - 35 = 9x - 3

⇒ Minus 9x from both sides to collect the 'x' terms

→ -2x - 35 = -3

⇒ Add -35 to both sides to isolate -2x

→ -2x = 32

⇒ Divide both sides by -2 to isolate x

→ x = -16

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer: 4x+y-6=0

Step-by-step explanation:

To find the equation of the line that is parallel to 4x+y+1=0, we need to work in terms of slope-intercept form, which is y=mx+b.

4x+y+1=0       [subtract both sides by 4x]

y+1=-4x          [subtract both sides by 1]

y=-4x-1

Our original equation is in terms of y=mx+b.

The properties of parallel lines is that they NEVER touch. Therefore the slope must be the same. The y-intercept can be different though.

y=-4x+b           [plug in (1,2)]

2=-4(1)+b          [multiply]

2=-4+b             [add both sides by 4]

b=6

We can fill in our equation now.

y=-4x+6

We need to make our equation match the original, so let's manipulate it.

y=-4x+6           [add both sides by 4x]

4x+y=6            [subtract both sides by 6]

4x+y-6=0

Therefore 4x+y-6=0 is the answer.

A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error

In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.

Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.

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Answer:

2.3 is your answer sry if wrong

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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We may conclude after answering the presented question that So Maeko  expression needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To find out how much more sunflower seeds

\(1 9/16 = (1 x 16) + 9 / 16 = 25/16\\3 1/2 - 1 9/16 = (7/2) - (25/16)\\(7/2) - (25/16) = (56/16) - (25/16) = 31/16\\31/16 = 1 15/16\\\)

So Maeko needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

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Solution of differential equation in terms of the independent variable may be different from solving them in terms of the dependent variable.

Solution of differential equation in terms of independent variable

When it comes to solving differential equations in terms of an independent variable, the process can be very different from solving it with respect to the dependent variable. However, the method remains the same for linear and homogeneous equations.

The steps to solve a differential equation with the independent variable are given below:

1. Determine whether the given differential equation is linear or homogeneous

2. If the equation is linear, find the integrating factor and then proceed with solving the differential equation by separating the variables

3. If the equation is homogeneous, let y = vx and substitute it in the differential equation to make it separable. After separating the variables, solve the differential equation.

4. If the equation is not linear or homogeneous, then it will need to be solved using other methods.

The process of solving differential equations in terms of the independent variable is relatively straightforward, as long as the equation is linear or homogeneous. Linear equations can be solved using integrating factors, while homogeneous equations can be solved by substituting y = vx and separating the variables. For other equations, other methods need to be used.

In conclusion, while the process of solving differential equations in terms of the independent variable may be different from solving them in terms of the dependent variable, the basic steps and concepts remain the same. By understanding these concepts, you can solve a wide range of differential equations with ease.

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Answer:

kanye west x jeffree star

Step-by-step explanation:

Answer:

B. 4 to 2

Explanation:

The ratio of cows to chunks of cheese can be written as the number of cows to the number of chunks of cheese.

Since there are 4 cows and 2 chunks of cheese, the ratio is:

4 to 2

Answer:

11) 2nd option

12)2nd option

13)3rd option

The monthly charge for Jared's new phone service from Fizo Network consists of a monthly fee of $75 and an application fee of $15, resulting in a total monthly charge of $90.

To calculate the monthly charge, we add the monthly fee and the application fee together. The monthly fee is $75, and the application fee is $15. Adding these amounts gives us a total of $75 + $15 = $90. Therefore, the monthly charge for Jared's new phone service is $90.

It's important to note that this calculation assumes that there are no additional fees or charges associated with the phone service. If there are any taxes, surcharges, or other fees, they would need to be considered and added to the monthly charge accordingly.

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Answer:

i think it is the bottom one

Step-by-step explanation:

To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

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The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

I am not sure if my amnswer is right but I hope it helps

Step-by-step explanation:

52p > 43p

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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