bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question​

Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

The correct equation for the graph include the following: C. y = 2x/3 - 4.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

From the information provided above, we have the following slope and data points on the line:

At point (0, -4), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-4) = (0 + 4)/(6 - 0)(x - 0)

y + 4 = 2x/3

y = 2x/3 - 4

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Answer:

A=6/5    B=0.111...    C=166 2/3%

Step-by-step explanation:

i hope this helped you :)

Answer:

the answers will be A. B. C.

Step-by-step explanation:

took the test on edgenuity and got it right :D

Answer:

the answer is 61

we complete the degree to 180

so 119+x=180

x=61

Answer:

value of m=180-119

=61,,

Answer:

14M

Step-by-step explanation:

7*2*M

14*M

14M

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Answer:

60 % is also .60

100 = .60x

Solve for x

I hope this helps! The rest will be easy! Trust me :)

Answer:

yes yes  no

Step-by-step explanation:

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:I believe it is E

Step-by-step explanation:

Answer: 1 Lap Per Every 4 Minutes Is Her Average Speed.

Step-by-step explanation: To find her average speed, simply divide 8 by 2 which is 4.

8/2 = 4 minutes per lap.

Answer:

b & c

Step-by-step explanation:

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

$10,359.73.

Step-by-step explanation:

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money after the specified time

P = the principal amount (the initial amount of money)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time (in years)

In this case, we have:

P = $4,000.00

r = 15% = 0.15

n = 1 (compounded annually)

t = 6 years

Substituting into the formula, we get:

A = 4000(1 + 0.15/1)^(1*6)

A = 4000(1.15)^6

A ≈ $10,359.73

Therefore, the amount in the account after 6 years, rounded to the nearest cent, is $10,359.73.

To find the breack we can made the function equal so:

and we solve for x so:

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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The required equation of a line is y = -3x- 1

The equation of a line in slope-intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Using the coordinate point (0, -1) and (-1, 2)

Slope = 2-(-1)/-1-0

Slope = 3/-1

Slope =-3

Since the line crosses the y-axis at (0, -1), hence the value of b is -1

Determine the equation

y = mx + b

y = -3x + (-1)

y = -3x- 1

Hence the required equation of a line is y = -3x- 1

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The value of m<RQS as required to be determined in the task content is; 70°.

It follows from the task content that the measure of angle RQS is to be determined as required.

Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.

Therefore, m<RPS = 2 • m<RQS.

m<RQS = 140°/2

m<RQS = 70°.

Ultimately, the measure of angle RQS are; 70°.

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Answer:

Kindly check explanation

Step-by-step explanation:

33% is approximately 1/3 of a whole ; that is 1/3 of 100%

Hence, 59 / 3 = approximately 19

Approximately 20

Another way is to take 59 as 60, nearest 10, then divide by 3 to obtain ; (60 /3) = 20

To obtain 25% of 98.50

25% = 1/4th

Take value as 98 and divide by 4

Take value as 100 and divide by 4

2% of 150 people

2% = 1/50

Quick division of 150 into 50 places to obtain the approximate value.

To obtain the exact solution for the questions above :

Multiply 33% by 59

0.33 * 59 = 19.47

Multiply 25% by $98.50

0.25 * $98.50

$24.625

Multiply 2% by 150

0.02 * 150

= 3 people

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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1 mile = 5,280 feet

5,280 feet x 12 = 63,360 inches

To find the circumference, did ie total inches by rotations:

63,360 inches / 776.1 rotations = 81.6389 inches.

The circumference of the tire is 81.6389 inches. (Round the answer as needed)

Answer: -5

Step-by-step explanation:

You have to find a. Here's some steps you can take.

1.) Subtract 12 on the left side of the equal sign to get -6a by itself. When subtracting 12 you must subtract 12 from 42 as well.

2.) Your new equation would be -6a = 30

3.) Now you need to get a by itself. How do we do that? By dividing -6a by -6. REMEMBER: You must also do the same to the right side of the equal sign which is 30 (30/-6)

4.) Your problem should end up looking like this: a = -5

Answer:its 30 ft

Step-by-step explanation:

easyyy

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Yes,The law of large number says that if you take sample of larger and larger size forming population than the mean of the sampling distribution u-x tend to get closer to true population.

As a sample size increases, the sample mean and standard deviation will be closer in value to the population mean μ and standard deviation σ.Very large samples tend to transform small differences into statistically significant differences.

There are following steps for finding sample mean

Add up the sample items. Firstly we will need to count how many sample items you have within a data set and add up the total amount of items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

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Step-by-step explanation:

2 points, their distance and their x and y coordinate differences create a right-angled triangle with the distance being the Hypotenuse (the side opposite of the 90° angle).

and so, the distance formula is nothing else than Pythagoras :

distance² = (x coordinate difference)² + (y coordinate difference)²

distance² = (xh - xp)² + (yh - yp)² =

= (1 - -5)² + (-3 - 2)² =

= (1 + 5)² + (-5)² = 6² + 25 = 36+25 = 61

distance = sqrt(61)

as you can see, due to the squaring of the differences it is not important which point gets subtracted from which point. but it is important that once you decide a sequence for x, you use the same sequence also for y (or vice versa).

Step-by-step explanation:

Taking the provided equation ,

\(\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} \)

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

\(\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} \)

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

\(\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)\)

3) Multiplying the expressions.

\( \implies 5(3x^2+13x+2) = 40x + 120 \)

4) Opening the brackets .

\(\implies 15x^2+ 65x + 10 = 40x + 120 \)

5) Transposing all terms to Left Hand Side .

\(\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0\)

6) Solving the quadratic equation .

\(\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}\)

Answer:

\(x=2\\x=-\frac{11}{3}\)

Step-by-step explanation:

Solve the rational equation:

\(\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}\)

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

\(\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}\)

Operate and simplify:

\(\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)\)

\(\displaystyle 3x^2+4x+9x+12-10=8x+24\)

Rearranging:

\(\displaystyle 3x^2+4x+9x+12-10-8x-24=0\)

Simplifying:

\(\displaystyle 3x^2+5x-22=0\)

Rewrite:

\(\displaystyle 3x^2-6x+11x-22=0\)

Factoring:

\(\displaystyle 3x(x-2)+11(x-2)=0\)

\(\displaystyle (x-2)(3x+11)=0\)

Solving:

\(x=2\\x=-\frac{11}{3}\)

Answer:

Alright! So, the formula is

x+x+1+x+2+x+3+x+4....x+24

You can do 25x+300=1000

25x=700

x=28