(25 points)
What is the value of k?

Please explain your answer

Answer:

L.4118.36.

Step-by-step explanation:

Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:

3000 x (1 + 0.08 / 4)^4x4 = X

3000 x (1 + 0.02)^16 = X

3000 x 1.02^16 = X

3000 x 1.3727 = X

4118.357 = X

Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.

Step-by-step explanation:

x + 6y = 8 ........... ( ×2 ) ....... ( 1 )

2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )

2x + 12y = 16

- - -

2x + 4y = -8

+12y - ( +4y ) = 16 - 8

12y - 4y = 8

8y = 8

divide both sides by the coefficient of y ( 8 )

8y / 8 = 8 / 8

y = 1

substitute for x in equation ( 1 )

x + 6y = 8

x + 6 ( 1 ) = 8

x + 6 = 8

x = 8 - 6

x = 2

x = 2 , y = 1

Answer:

6884

Step-by-step explanation:

8x8x5

The house is located 6.87 miles to the east of the cell tower.

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Given:

Let the center of the town represent the origin (0,0).

Also 1 unit = 1 mile.

Since the cell tower is located 3 miles east and 6 miles north of the center of a small town, it is represented by A(3, 6)

The cell tower has a coverage of radius 4 miles. This can be represented by a circle with equation:

(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius.

Then, (x - 3)² + (y - 6)² = 4²

(x - 3)² + (y - 6)² = 16

b) The house is 7 miles north. It can be represented by y = 5 line.

To find the distance east of the house we have to substitute y = 5 and solve for x,

(x - 3)² + (y - 6)² = 16

(x - 3)² + (5 - 6)² = 16

(x - 3)² + 1 = 16

(x - 3)² = 15

(x - 3) = ±3.87

x= 3 ±3.87

x= 6.87 or 0.87.

Hence, the house is located 6.87 miles to the east.

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I think it's 84 I'm not good with math though I multipled 7 and 12

Answer:

21.75 or 21 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.

Answer:

p = 20

Step-by-step explanation:

120 divided by 6 would = 20

Answer: p = 20

Step-by-step explanation:

120/6=20

6x20=120

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

The nth term of the following sequence is: 5n²

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are given the sequence are;

5, 20, 45, 80, 125

The quadratic sequence formula : an²+bn+c

2nd difference 2a = 10

a = 5

1st difference 3a+b = 15

Then substitute 5

3(5)+b = 15

b = 0

The nth term rule : a + b + c = 5

Now substitute a and b values into equation

5 + 0 + c = 5

c = 0

The nth term is: 5n²

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Answer:

Step-by-step explanation:

1 in a tenth of a million. I did the math with all the cards and how many are kinds diamonds or red or queens yk.

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.

The graph of f'(x) shows a local minimum at x = 1.

__

Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.

The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2

What is a function?

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given function is y = |x|.

The vertex is (0,0). The vertex of the transformed function is (-4,-2)

It means the graph is shifted 4 units left sides and 2 unit downward direction.

The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).

The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).

The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.

The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.

The equation of the transformed equation is g(x) = f(x + 4) - 2

g(x) = |x + 4| -2

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Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

Answer:

y = 2 x 2 + 2 x + 4 should be the function.

Step-by-step explanation:

The last one can be anything, it said to predict so basically guess. From what I read from the graph, the y ( number of fruit flies ) doubles.

4 + 4 = 8

8 + 8 = 16

16 + 16 = 32

32 + 32 = 64

I'm sure your able to catch on.

I put a photo of the graph for your sketch, if you need help labeling then you can ask me :)

Answer:

x = 45°

Step-by-step explanation:

x° + 45° + 90° = 180°

x° + 135° = 180°

x° = 180° – 135°

x° = 45°

i hope this helped

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

A linear equation o line can be expressed in the form y = mx + b

where

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

In this case, you know:

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Answer:

[tex] \sf \: d) \: 82[/tex]

Step-by-step explanation:

Given information,

→ d = 10

→ u = 7

→ e = 3.2

The expression is,

→ d(e + 5)

Let's evaluate the expression,

→ d(e + 5)

→ 10(3.2 + 5)

→ 10 × 8.2

→ 82

Hence, option (d) is correct.

Answer:

Option D) 82

Step-by-step explanation:

Given ,

d = 10

u  = 7

e = 3.2

To Find  : [tex]d(e+5)[/tex]

Applying the values in the equations we get

[tex]10(3.2+5)\\[/tex] Applying Distributive property

[tex]32+50 = 82[/tex]

Hence , Option D) is the answer

Answer:

pretty sure its 499 or 498 but im horible at math so dont quote me on that

tep-by-step explanation:

Answer: the answer is b?

hope this helps

Answer:

B. 12

Step-by-step explanation:

Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.

One possible equation is (6b+2)+40 = 90

That equation solves to b = 8

======================================================

Explanation:

The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.

So (6b+2)+40 = 90 is one possible equation.

Let's solve for b.

(6b+2)+40 = 90

6b+42 = 90

6b = 90-42

6b = 48

b = 48/6

b = 8

---------------

A slight alternative.

The angles (6b+2), 40, and the 90 degree angle form a straight line.

The three angles add to 180

(6b+2)+(40)+(90) = 180 is another possible equation

6b+132 = 180

6b = 180-132

6b = 48

b = 48/6

b = 8

Answer:

C. 500

Step-by-step explanation:

Given that

The ordering cost per order is $50

The carrying cost percentage is 20%

The weekly demand is 100 units and there are 50 weeks in the work year

The cost per unit is $10

We need to find out the economic order quantity i.e. EOQ

So we applied the above formula

= √(2 × weekly demand × no of weeks × ordering cost) ÷ √(carrying cost × cost per unit)

= √(2 × 100 × 50 × $50) ÷ √(20% × $10)

= √(500,000 ÷ 2)

= 500 units

hence, the option c is correct

The equation of rational function is (c) g(x) = (2x + 4)/(x + 1).

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that,

The function g(x).

The graph of a function never touches the x = 1 line

At x = -1 there will be a vertical asymptote.

At x = -2 there will be a horizontal asymptote.

The equation of the function g(x) will be:

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

The equation of rational function is g(x) = (2x + 4)/(x + 1)

Therefore,  g(x) = (2x + 4)/(x + 1) is correct.

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Answer:

True

Step-by-step explanation:

First, you need to subtract a then that would make a 0

Answer: true

Step-by-step explanation: c and d are the same, so a+c and a+d will be the same

Answer:

Step-by-step explanation:

A. 39ft2

you draw a line at top of shape. that small rectangle area is 3ft2. the bigger rectangle area is 36ft2. 36+3= 39ft2

Answer:

[tex]\text{This is a fairly simple problem:}\text{Answer= }3*1+36=39ft^2[/tex]

A

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

Answer:

=> 83mg ,85mg ,89mg ,100 mg ,104 mg

[tex] = > (\frac{n + 1}{2})[/tex]

[tex] = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3[/tex]

[tex] \\ \\ [/tex]

Hope it helps

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

The median amount of vitamin C in the different varieties is 89mg.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Given:

104, 85, 83, 100, 89

On arranging the given data:

83, 85, 89, 100, 104

as, the data is in odd number.

So,

median = (n+1)/2

=(5+1)/2

=3

The third element is 89.

Hence, the median amount of vitamin C in the different varieties is 89mg.

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a). The number of scores which are expected to be lower than 18.31 is; 16 scores.

b). The number of scorers that are expected to be below 32.38 is; 98 scores.

As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.

First, since the mean is given as; 23 and the standard deviation is; 4.69.

By observation; 23 - 4.69 = 18.31 and

23 + 4.69 + 4.69 = 32.38.

a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.

Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.

b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.

Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.

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