$5,581 is invested, part at 15% and the rest at 6% . If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 6% by $261.54 , how much is invested at each rate? (Round to two decimal places if necessary.)

Hypertension is known as the silent killer because often, early hypertension is asymptomatic. a systolic blood pressure of  140 mm Hg would make us concerned the patient was hypertensive.

Here, we know that Asymptomatic:

Any condition that a patient tests positive for but does not manifest any symptoms of is referred to in medicine as being asymptomatic. After a diagnosis, a medical illness may be deemed asymptomatic if no obvious symptoms emerge.

Absence of symptoms is referred to be asymptomatic. If your doctor says you are asymptomatic, this indicates you have a disease or condition but don't show any symptoms or outward indicators of being ill.

Instances of sickness that are symptom-free for all or part of the time are frequently referred to be asymptomatic. Pre-symptomatic, however, is a word sometimes used to describe patients that initially have no symptoms but later develop them.

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complete question:

Hypertension is known as the silent killer because often, early hypertension is asympotmatic. a systolic blood pressure of _____ would make us concerned the patient was hypertensive.

The value of "c" in this triangle is approximately 154.2 units long.

The given information is a side length of 61 and two angles, one of which is 142 degrees. To solve for the unknown side length "c", we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides. In other words:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

In this problem, we know the side length "a" is 61 and the angle opposite that side is 63 degrees. We also know the angle opposite the unknown side "c" is 142 degrees. Using the law of sines, we can write:

61/sin(63) = c/sin(142)

Now we can solve for "c" by multiplying both sides by sin(142) and then dividing by sin(63):

c = (61*sin(142))/sin(63)

Using a calculator, we find that c is approximately 154.2. Rounding to the nearest tenth, we get:

c ≈ 154.2 to the nearest tenth.

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Answer:

117.25

Step-by-step explanation:

Ik this is late but I need the answer for my test later so I’m answering here so I can find it. Also this was right on acellus.

The polynomial  (2m + 2n)6 = 12m + 12n.

For the long division, the quotient is x - 2, the remainder is 6, and the dividend can be written as (x - 2)(x² - 4x + 3) + 6.

To expand the expression (2m + 2n)6, using the distributive property of multiplication over addition:

(2m + 2n)6 = 2m(6) + 2n(6)

Simplifying further, evaluate the products:

= 12m + 12n

Therefore, (2m + 2n)6 = 12m + 12n.

Using long division to divide the polynomial x³ - 6x² + 11x - 6 by the polynomial x² - 4x + 3. The steps are as follows:

      x - 2

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

x² - 4x + 3 | x³ - 6x² + 11x - 6

- (x³ - 4x² + 3x)

      - 2x² + 8x

      - 2x² + 8x - 6

                + 6

Therefore, x³ - 6x² + 11x - 6 = (x - 2)(x² - 4x + 3) + 6.

So the quotient is x - 2, the remainder is 6, and the dividend can be written as (x - 2)(x² - 4x + 3) + 6.

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The value of the arithmetic operation; 0.79 × 12 as required in the task content is; 9.48.

The value of the arithmetic operation; 12.45 × 11 as required in the task content is; 136.95

It follows from the task content that the value of the given arithmetic expressions are to be determined.

By the use of a mathematical calculator; we have that;

0.79 × 12 = 9.48

Also; 12.45 × 11 = 136.95.

Ultimately, the result of the evaluations as required are such that;

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The requreid present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $700 after 4 years at 11% compounded monthly, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{nt}[/tex]

Substituting the given values, we get:

[tex]700 = P(1 + 0.11/12)^{12*4}[/tex]

Simplifying this equation, we get:

[tex]P = 700 / (1 + 0.11/12)^{12*4}\\P = 700 / (1.00917)^{48}[/tex]

P = 700 / 1.487

P = 451.73

Therefore, the present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

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The area of each wing to founds the total area as; 26000 square inches

We need to find the area of each wing to founds the total area In square inches

The dimensions are;

Length = 100 + 100 = 200 unit

Width = 70 + 70  = 130

Now the area of the wing

= Length x width

= 200 x 130

= 26000

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Answer:

Solution: It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means is divided in 3 equal parts.

Step-by-step explanation:

Answer:

a= b/2

Step-by-step explanation:

it is in internet

​

Based on these expected future dividends and the rate of return required by investors, the price of the stock should be $414 in year 1, $476 in year 2, $547 in year 3, $93.24 in year 4, $114.53 in year 5, and $138.49 in year 6.

To calculate the price of the stock, we need to first determine the expected future dividends. We know that the current dividend is $3.60, and we can use the dividend growth rate to calculate the expected future dividends.

For the first three years, we can use the 15% dividend growth rate to calculate the expected dividends as follows:

Year 1: $3.60 x 1.15 = $4.14

Year 2: $4.14 x 1.15 = $4.76

Year 3: $4.76 x 1.15 = $5.47

The Gordon growth model is as follows:

P = D / (r - g)

where:

P = price of the stock

D = expected dividend payment

r = rate of return required by investors

g = expected dividend growth rate

Using the formula, we can calculate the price of the stock as follows:

Year 1: P = $4.14 / (0.16 - 0.15) = $414

Year 2: P = $4.76 / (0.16 - 0.15) = $476

Year 3: P = $5.47 / (0.16 - 0.15) = $547

After year 3, the expected dividend growth rate is 8%, so we can use this rate to calculate the price of the stock beyond year 3.

Year 4: P = $5.47 x 1.08 / (0.16 - 0.08) = $93.24

Year 5: P = $5.96 x 1.08² / (0.16 - 0.08) = $114.53

Year 6: P = $6.47 x 1.08³ / (0.16 - 0.08) = $138.49

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Answer: 17/29 As A Fraction! (58.6%)

Step-by-step explanation: Just Divide 17 (Amount Won) By Amount Played (29)

Answer:

D

Step-by-step explanation:

The statement that is true about histograms is that data is organized in equal intervals. Histograms are graphical representations of data that use bars to show the frequency of values in a continuous range. The bars are of variable heights depending on the frequency of data within each interval, but the width of each bar represents the same interval size. This allows for easy comparison between different intervals and helps to visualize the distribution of data. It is important to note that the bars in a histogram do touch, as they represent continuous data ranges.

Answer:

d

Step-by-step explanation:

got it right on homework

Answer:

Step-by-step explanation:

You want functions for the velocity v(t) and height h(t) of a ball thrown upward at 38 m/s from a height of 1.8 m. The acceleration is -9.8 m/s².

This sort of problem is usually discussed in a physics course. The relation between acceleration, velocity, and position is ...

  velocity is the rate of change of position

  acceleration is the rate of change of velocity

Then the inverse relations are ...

  h(t) = ∫v(t)dt +h(0)

  v(t) = ∫a(t)dt +v(0)

When position is measured in one dimension (up = positive), these have the standard formulas:

  v(t) = g·t + v(0)

  h(t) = 1/2g·t² +v(0)·t +h(0)

Filling in the given values (g = -9.8, v(0) = 38, h(0) = 1.8), we have ...

  v(t) = -9.8t +38 . . . . . . . . . . . . meters per second

  h(t) = -4.9t² +38t +1.8 . . . . . . meters

The mean height of sunflowers on Constantin's farm is 210.33 centimetres, rounded to two decimal places.

To find the mean height of sunflowers on Constantin's farm, we need to sum up all the heights and divide by the total number of sunflowers.

Adding up all the heights, we get:

301 + 285 + 20 + 351 + 35 + 205 + 311 + 25 + 45 + 310 + 301 + 305 = 2524

There are 12 sunflowers in total, so we divide the sum by 12:

2524 / 12 = 210.33

This means that if we were to select a sunflower at random from Constantin's farm, on average, we would expect it to be about 210.33 centimetres tall.

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There were 8 children in the classroom, and the initial guess of 7 children was incorrect.

Let's assume there were 7 children in the classroom. Since each child has one head and two legs, the number of heads would still be 7, and the number of legs would be 7 x 2 = 14.

Now we need to find out how many dogs there are. The total number of heads in the classroom is 14, so the number of dogs is 14 - 7 = 7. Each dog has one head and four legs, so the number of legs from the dogs is 7 x 4 = 28.

The total number of legs in the classroom is 40, so the total number of legs from the children and dogs is 14 + 28 = 42. Since there are only 40 legs, our initial assumption was incorrect.

To find the correct number of children in the classroom, we need to use algebra. Let c be the number of children, and let d be the number of dogs. We know that c + d = 14 and 2c + 4d = 40. We can solve for c by substituting the first equation into the second equation and simplifying:

2c + 4(14 - c) = 40

2c + 56 - 4c = 40

-2c = -16

c = 8

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In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.

The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.

After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.

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The values of the given problems are:

Using angle sum and difference identities, we can calculate:

sin(75°) = sin(45°)cos(30°) + cos(45°)sin(30°)

sin(15°) = sin(45°)cos(30°) - cos(45°)sin(30°)

Then, we find:

sin(75°) + sin(15°) =

[sin(45°)cos(30°) + cos(45°)sin(30°)] + [sin(45°)cos(30°) - cos(45°)sin(30°)]

≈ 1.22

sin(75°) - sin(15°) =

[sin(45°)cos(30°) + cos(45°)sin(30°)] - [sin(45°)cos(30°) - cos(45°)sin(30°)]

≈ 0.71

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The Complete Question

Select the correct answer from each drop-down menu.

sin75° +sin15°=

sin75°-3in15º =

Answer:

the third one: m<a = m<d

The number of cups of flour required to make 1 recipe is 8/3.

Given that, one quarter of a bread recipe calls for 2/3 cup of bread flour.

Amount of flour required per 1 recipe = Number of quarters × Number of cups of flour

= 4 × 2/3

= 8/3

Therefore, the number of cups of flour required to make 1 recipe is 8/3.

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The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

We have,

The Pythagorean Theorem in a right-angled triangle,

a² + b² = c²

To find three consecutive even integers that satisfy this theorem, we can start by assuming that one of the even integers is x.

Then, the next two consecutive even integers would be x+2 and x+4.

We can then use the Pythagorean Theorem to set up an equation and solve for x:

x² + (x+2)² = (x+4)²

Expanding and simplifying:

x² + x² + 4x + 4 = x² + 8x + 16

Simplifying further:

x² - 4x - 12 = 0

Now we can use the quadratic formula to solve for x:

x = [4 ± √(4² - 4(1)(-12))] / (2 x 1)

x = [4 ± √64] / 2

x = [4 ± 8] / 2

x = 6 or x = -2

Since we are looking for three consecutive even integers, we can discard the negative solution and choose x = 6.

This gives us the three consecutive even integers: 6, 8, and 10, which satisfy the Pythagorean Theorem:

6² + 8 = 10²

36 + 64 = 100

100 = 100

Thus,

The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

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The complete question.

Find three consecutive even integers that satisfy the Pythagorean Theorem.

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

y = -8.2x - 60.6

The equation of a line that passes through point (8, 5) and has a slope of -8.2 can be written in slope-intercept form as y = mx + b, where we have:

m as the slope

b as the y-intercept.

Find the y-intercept by substituting x = 8, y = 5, and m = -8.2 into y = mx + b:

5 = -8.2(8) + b

5 = 65.6 + b

5 - 65.6 = b

b = -60.6

Substitute m = -8.2 and b = -60.6 into y = mx + b:

y = -8.2x - 60.6

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As the sample size increases, it does not necessarily mean that the range of the sample population also increases.

The range of a sample population is simply the difference between the maximum and minimum values of the data set. It is possible for the range to increase or decrease as the sample size increases, depending on the distribution of the data.

For example, if the data is evenly distributed with no outliers, increasing the sample size may not change the range significantly. However, if the data has outliers or a skewed distribution, increasing the sample size may result in capturing more extreme values, which could increase the range of the sample population.

Therefore, it is important to consider the distribution of the data and not assume that increasing the sample size will always result in an increased range of the sample population.

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The Area of Triangle is 10 square unit.

We have,

base = 4 unit

Height = 5 unit

So, Area of Triangle

= 1/2 x base x height

= 1/2 x 4 x 5

= 2 x 5

= 10 square unit

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To solve the equation (x - 3)^2 = 49, we can take the square root of both sides to eliminate the exponent of 2. However, when taking the square root, we need to consider both the positive and negative square roots.

(x - 3)^2 = 49

Taking the square root of both sides, we get:

√((x - 3)^2) = ±√49

Simplifying, we get:

x - 3 = ±7

Adding 3 to both sides, we get:

x = 3 ± 7

So the possible values of x are:

x = 3 + 7 = 10

x = 3 - 7 = -4

Therefore, the correct values of x are -4 and 10. The options given are -46, -4, 10, and 52. So the correct values of x from the options are -4 and 10.

Answer:

-4 and 10.

Step-by-step explanation:

The type of transformation shown is vertical translation. That is option D.

Transformation of geometrical figures or points is the manipulation of a given figure to take the same shape but with different direction of its original angles.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given a polygon ABDC.

It is transformed to another polygon with the same size A'B'D'C'.

Here the polygon ABDC is just moved downwards as it is and mark is as A'B'D'C'.

In rotation or reflection transformation, the points will change it's correspondent place.

Translation is a type of transformation where the original figure is shifted from a place to another place without affecting it's size.

Since the shifting is done vertically, it is vertical translation.

Hence the transformation is vertical translation.

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The direction and angle of rotation include the following: C. 180° counterclockwise rotation.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point A (-6, 5)  →  Coordinates of point A' = (6, -5)

In conclusion, this transformation rule (x, y) → (-x, -y) is used for the 180° rotation of a geometric figure about the origin in a clockwise or counterclockwise (anticlockwise) direction.

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Answer:

[tex]\Huge \boxed{\bf{x = 33}}[/tex]

Step-by-step explanation:

To solve for x in the equation [tex]3x - 3 = 4(x - 9)[/tex], we will follow these steps:

1. Distribute the 4 on the right-hand side of the equation:

2. To isolate x, subtract 3x from both sides:

3. Lastly, add 36 to both sides of the equation to solve for x:

So, the solution to the equation [tex]3x - 3 = 4(x-9)[/tex] is [tex]x = 33[/tex].

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________________________________________________________

The parameters for the linear function in this problem are given as follows:

1. C is the total cost.

2. g is the number of guests.

3. Each guest costs $55.

4. The cost to rent the venue is of $650.

5. 80 guests cost $5,050.

6. 105 guests cost $6,425.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The function for this problem is given as follows:

C = 55g + 650.

Hence:

The costs are given as follows:

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The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||