Susan Marciano invested part of her 29000 bonus in a fund that paid an 11
% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was 2740.

Answer:

-19 and 19

Step-by-step explanation:

The only values that have an absolute value of 19 are -19 and 19.

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

6

Step-by-step explanation:

1x2x3=6

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

12, 12, and 12

Step-by-step explanation:

12 is an even integer, and 12 + 12 + 12 = 36, so it would be logical for 12 to be the unknown integer.

Answer:

B

Step-by-step explanation:

Answer:

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

Step-by-step explanation:

In order to calculate the dollar amount 8 years from now of $500 invested at 7% annual interest we would have to calculate the following formula:

dollar amount=PV*(1+r)∧n

According to the given data we have the following:

PV=$500

r=7%

n=8

Therefore, dollar amount=$500*(1+0.07)∧8

dollar amount=$859.09

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

The equation that represents the property that opposite angles in an inscribed quadrilateral are supplementary is 8x + 3y = 171.

If two angles sum up to 180 degrees, they are referred to as supplementary angles. When combined, supplementary angles make a straight angle (180 degrees).

If two angles x and y are supplementary, then x + y = 180.

A quadrilateral is inscribed in a circle.

The four internal angles of the quadrilateral are:

14x + 7, 3y + 12, 2y + 11, 8x - 3

The opposite angles in an inscribed quadrilateral are supplementary.

Therefore,

14x + 7 + 2y + 11 = 180

14x + 2y + 18 = 180

14x + 2y = 162

Similarly,

3y + 12 + 8x - 3 = 180

8x + 3y + 9 = 180

8x + 3y = 171

Hence the correct equation is (d).

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

144

Step-by-step explanation:

Hello, please consider the following.

\(x^2-24x+c\)

is a perfect square means that the discriminant is 0.

\(\Delta = b^2-4ac=24^2-4c=0\\\\<=>24^2-4c =0<=> 4c=576\\\\\text{We divide by 4}\\\\c= \dfrac{576}{4}=144\)

Thank you

The value of c which make a perfect square trinomial is,

⇒ c = 144

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x² - 24x + c

Now, We can it squared as;

⇒ x² - 24x + c

⇒ x² - 2 × 12x + 144

⇒ x² - 24x + 12²

⇒ (x - 12)²

Thus, The value of c which make a perfect square trinomial is,

⇒ c = 144

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The quartiles of the distribution are given as follows:

A distribution has three quartiles, given as follows:

The sample size of the distribution is of:

n = 40.

Then the positions of the elements of the quartiles are given as follows:

The positions are taken using cummulative frequency, and the mid-points of each interval, which is why the results given in the answer were obtained.

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Answer:

Step-by-step explanation:

Is it 25

Answer:

No

Step-by-step explanation:

y = 4x + 1 is not a direct variation. Direct variations have the form y = kx. So y = 4x would be a direct variation (k=4), but not y = 4x+1

Answer:

I'm pretty positive that the answer is A

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.

From the given dot plot.

The number of minutes Charles spent on homework.

15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.

Here, lower quartile = 20

Upper quartile = 50

Median = 30

Range = 60-15

= 45

The number of minutes Jermod spent on homework.

15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.

Here, lower quartile = 20

Upper quartile = 50

Median = 45

Range = 55-15

= 40

Therefore, options C and D are the correct answer.

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Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

9:x as 54:8

54÷9=6

so then 8×6=48

Answer

392.04 square yards

Step-by-step explanation:

Let's just do 18(1.1) which gives you 19.8. That gives you the length of one of the sides of the square. A square has four equivalent sides in terms of length and height. So just multiply length times height (aka 19.8 squared) or 392.04 square yards.

Answer:

uhh what kinda class is that big- anyways

Step-by-step explanation:

jacks class

18:10

If you divide 18 by 10 you get 1.8

Micheals class

54:30

If you divide 54 by 30 you get 1.8

therefore neither. They are both equivalent

the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, in jacks class 18 of the students are tall and 10 are short. in Michaels's class, 54 students are tall and 30 students are short.

The ratio of tall to short students in jacks class = 18/10 = 1.8

The ratio of tall to short students in Micheals's class = 54/30

The ratio of tall to short students in Micheals's class = 1.8

Therefore, the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.

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Answer:

11 hot dogs

Step-by-step explanation:

divide 6237 by 567

Answer:

11 hot dogs

Step-by-step explanation:

567/6237=11

Answer:

C. 115 degrees

Step-by-step explanation:

Angles 6 and 8 are the same so they both have the same degrees

Answer:

What?

Step-by-step explanation:

Is there an attachment?

Answer:

if the slope is -3 then the answer is B

Step-by-step explanation:

The statements that will be true about parallelogram ABCD are: A, B, D, and E.

Properties of a Parallelogram -

Diagonals of a parallelogram bisect each other into congruent segments.

Opposite angles and sides of a parallelogram are always congruent.

Alternate interior angles are always congruent in measure.

Thus, the following would be true of parallelogram ABCD:

AP ≅ CP (congruent segment's of a bisected diagonal)

BC ≅ AD (congruent opposite sides)

∠CAD ≅ ∠ACB (congruent angles)

∠BPC ≅ ∠APD (congruent angles)

Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.

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The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.

We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.

Given:

First side=x+y

second side= 2x+4

third side=3x+y

An equilateral triangle has three equal sides, hence the following equations can be constructed:

x + 1 = 2x + 4

2x + 4 = 3x + y

Let's tackle each of these equations separately:

x + 1 = 2x + 4

We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:

x + 1 - x = 2x + 4 - x

1 = x + 4

By taking 4 away from both sides, we arrive at:

1 - 4 = x + 4 - 4 , -3 = x

Therefore, x has been determined to be -3.

Now, substitute the value of x in the second equation:

2x + 4 = 3x + y

2(-3) + 4 = 3(-3) + y

-6 + 4 = -9 + y

-2 = -9 + y

y = -2 + 9

y = 7

So, we determined that y has a value of 7.

As a result, the values of x and y are, respectively, x=-3 and y=7

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Answer:

Step-by-step explanation:

In an equilateral triangle all sides are equal.

So each of these sides (and their equations are equal to each other.)

To find x - set the first two (as they only involve x) equal to each other and solve.

x + 1 = 2x + 4

x -x + 1 = 2x - x + 4

1 = x + 4

1- 4 = x + 4 - 4

-3 = x

Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.

3(x) + y = x + 1

3(-3) + y = -3 + 1

-9 + y = -2

-9 + 9 + y = -2 + 9

y = 7

so x = -3 and y equal 7

Answer:

35 square feet

Step-by-step explanation:

Area of the rug :

Answer:

I believe the answer is 9

Step-by-step explanation: