Henry places $1.200 in a savings account that earns 8% simple interest per year. How much does he earn after 4 years? How much does he earn after 12 years?

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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The value of 'B' in the table is 45.

Data refers to the elements that make up persons, things, events, and ideas.

It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics.

The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given, A three-column table.

Part     A    C     D

Part    30   36   46        

Whole B    54   69

In D it is 23×2 and 23×3.

Similarly, in C it is 18×2 and 18×3.

Therefore, In A it is 15×2 and 15×3 = 45.

the value of B in the table is 45.

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Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Elementary row operations are always applied to an augmented matrix after the solution has been found. So the option D is correct.

Elementary row operations:

1. It is possible to convert a system of linear equations into an equivalent system, or into a new system of equations that has the same solutions as the original system, using these straightforward techniques.

2. In order to convert a matrix to row echelon form, Gaussian elimination is used.

3. Simple row operations on an augmented matrix never alter the underlying linear system's solution set.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

El máximo común divisor es 12

Por cierto, hablo inglés, así que estoy usando Google Translat. :)

Answer:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Step-by-step explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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Answer: Just guessing, try.. or dont.

Step-by-step explanation:

There are 3 seniors. To make up 100% we would have to do 33.33%. I would say that the probabilty is around 33.33, and don't know the different orders possible.

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Answer:

\(5800 \times 9 \times 5 \div 100\)

Answer:

13in

Step-by-step explanation:

Let the width be w

The length will be 8+w

(8+w)(w)=65

8w+w^2=65

w^2+8w-65

Use quadratic equation formula.

You will get two answers

w=5 or w= -13

Pick the answer that is more sensible.

It cannot be a negative number; hence use 5in

5in+8in= 13in

Answer:13 and 5 are the lengths

Step-by-step explanation: if its 8 inches more on one side than the other then it goes like this 9x1 is 9. 10x2 is 20. 11x3 is 33. 12x4 is 48. 13x5 is 65. 13x5 is the rectangle.

Answer:

big pp is answer ok big pp is good hehe

Answer:

m = 7/3

Explanation:

The slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated as

So, replacing (x1, y1) = (2, -6) and (x2, y2) = (11, 15), we get:

Therefore, the slope is 7/3

Answer:

11

Step-by-step explanation:

i don't know

The statement that a clock that is set fifteen minutes fast is less precise than an identical clock that keeps correct time is false

When a time is set away from the correct time, the time on the clock would be incorrect.

However, this has nothing to do with the precision of the clock.

This is so because precision deals with closeness of the time measurement to the original time

Since the time is ten minutes fast, it would not be less precise

Hence, the statement is false

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Answer:

0.10

Step-by-step explanation:

i ignore decimals so 4*25 =100

then put back homw many decimal PLACES I ignored (which is three) and put the decimal back in.

Answer:

0.100=0.1

Step-by-step explanation:

.25 times .4 = .100

Hope it helps!!!!!!!!

the answer is -42/5 :D

can't type because im lazy

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

Answer:

this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5

Step-by-step explanation:

Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5  

Answer:

Step-by-step explanation:

the answers is 75,000,000

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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9514 1404 393

Answer:

Step-by-step explanation:

For repetitive tedious calculations, it is convenient to let a spreadsheet or graphing calculator do them. The slope of the secant line is ...

  m = Δy/Δx = (4/x -8)/(x -1/2)

The attachment shows the table of values, along with the average of secant slopes much nearer the point of interest. That seems to suggest a suitable guess for the slope at x = 0.5 is -16.

_____

Additional comment

For y = 4/x, the derivative is y' = -4/x². The value of this at x = 1/2 is -16.

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

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Answer:

a= \(\frac{14}{3}\)

a≈4.6

Step-by-step explanation:

a+5- \(\frac{2}{3}\) =9

a+ \(\frac{15}{3} -\frac{2}{3}\) =9

a+ \(\frac{13}{3}\) =9

Subtract \(\frac{13}{3}\) from both sides

a=\(\frac{14}{3}\)

a≈4.6

Answer:

a

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

\(y = -3x + 2\)

Required

The true statement

The question is incomplete, as no option is given.

I will solve generally, as follows;

A linear equation is represented as:

\(y =mx+b\)

Where

\(m \to\) slope

\(b \to\) y intercept

So, by comparison:

\(m = -3\)

\(b = 2\)

Hence, the graph has a slope of -3 (a negative slope)

And the y intercept of 2

Answer:

8 inches answer

Step-by-step explanation:

Similar shapes :-

first convert everything to inches  6 feet = 72 inches

5 / 45 = x / 72

1/9 = x / 72

x = 72/9  = 8 inches