Which three square prisms have a surface area between 375 and 450 square centimeters

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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Answer:

what is the value of x and y

Answer:

n\(\geq\)6

Step-by-step explanation:

Answer:

n ≥ 6

Step-by-step explanation:

\(n-9\geq -3\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\\\n-9+9\ge \:-3+9\\\\Simplify\\\\n\ge \:6\)

Answer:

$280

Step-by-step explanation:

7•40=$280

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

Small Boxes: 10

Large boxes: 12

Step-by-step explanation:

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

Answer:

X is 18 degrees

A ciricle total is 360 degrees so you add up all of the degrees that you have subtract it from 360 then divide that number by 17 to get x

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer:

1.25

Step-by-step explanation:

Answer:

12/15 > 4/5 equals 80%

Step-by-step explanation:

Answer:

3.61

Step-by-step explanation:

The standard deviation of X is 2, so the variance is 4.

The standard deviation of Y is 1.  The standard deviation of 3Y is 3, so the variance is 9.

The variance of Z is 4 + 9 = 13

So the standard deviation is √13 = 3.61.

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

Answer:

Answer: B(-11,7) C(11,7)

Step-by-step explanation:

Reflections In The Coordinate Plane

When we reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate is mapped to its opposite.

The reflection of the point (x,y) over the x-axis is the point (x,-y).

When reflecting a point over the y-axis, the y-coordinate remains the same, but the x-coordinate is mapped to its opposite (its sign is changed).

The reflection of the point (x,y) across the y-axis is the point (-x,y).

Point A is at (-11,-7). When reflected over the x-axis, it maps to Point B located at B(-11,7).

Point B is now reflected over the y-axis and maps to C(11,7).

Answer: B(-11,7) C(11,7)

That equation means that it is a line which always has the same -3 value, no matter what is the value of y

Answer:

its B

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

According to the Pythagorean principle

\(c^{2} = a^{2} +b^{2}\)

\(c^{2} = (5^{2} ) + (12^{2} ) = 25 +144= 169\\c= \sqrt{169 } = 13\)

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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A table that correctly represents this ratio include the following: D. table D.

In Mathematics, a ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this exercise, you are required to determine a table that contains an equivalent ratio of students to adults on a field trip;

S:A = 56:7 = 8:1

Therefore, we would add 8 to the number of students and 1 to the number of adults as follows;

S:A = (56 + 8):(7 + 1) = 64:8

S:A = (64 + 8):(8 + 1) = 72:9

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The probability that a randomly

selected point within the circle falls in the

red-shaded square is 63.7%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).

radius  = 7cm

side of square = 7√2 cm

Area of the circle = πr²

                             = 3.14 * 7²

                             = 153.86 cm²

Area of the square = side * side

                               =  7√2 * 7√2

                               = 98 cm²

= Area of square / Area of the circle

= 98 / 153.86

=  63.7%

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Answer:

63.7

Step-by-step explanation:

I entered that and got it right

First, lets figure out which ones add up to 14

5+9=14

6+8=14

8+6=14

9+5=14

They all add up to 14.

Next, reverse the digits and see if it is 36 less than the original number

95 is not 36 less than 59

86 is not 36 less than 68

68 is only 18 less than 86

59 is 36 less than 95

So, the answer would be 95.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

You have a fraction of 5/4 of the required tickets. You don't need more tickets for the souvenir.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

Given that,

Percentage of tickets you have = 125%

125% can also be written as 125 / 100

125% = 125 / 100

         = (25 × 5) / (25 × 4)

         = 5/4, which is the required fraction.

Actual number of tickets needed = 100%

You have 25% = 25/100 = 1/4 more tickets for the souvenir.

So you don't need more tickets.

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Option B is correct answer, The dividend paid to the common shareholder is: $1,000,000.

What is dividend?

A dividend is a payment made by a corporation to its shareholders that is decided by the board of directors. Dividend payments are frequently made quarterly and might take the form of cash payments or stock reinvestments.

As given in the question,

Total Number of Preferred share = 100,000

Yearly Dividend per share = $5

Yearly Dividend = $500,000

No Dividend was paid in 1st year, It means, there was an arrear preferred share dividend of $500,000.

The Dividend $700,000 was paid in 2nd year in which $500,000 was paid for 1st year arrear and $200,000 toward 2nd year dividend. But still there is an arrear of $300,000 of 2nd year dividend.

The Dividend $1,800,000 was paid in 3rd year in which arrear of $300,000 was paid for 2nd year arrear and $500,000 toward 3rd year dividend.

Therefore, dividend paid to common shareholders is $1,000,000.

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Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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The length of the classroom in feet if the scale model length is 3 inches is 27 feet.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

The scale for the model is 2 inches, which represents 18 feet,

The scale model length 1 inch = 18 \ 2 = 9 feet length

Thus, the length of the classroom having scale model length is 3 inches

 in feet = 9 × 3 = 27 feet

Therefore, the length of the classroom in feet if the scale model length is 3 inches is 27 feet.

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Answer:45

Step-by-step explanation:

[9(7-3)+13]-[11-(6+9)]

[9(4)+13]-[11-(15)]

[36+13]-[4]

49-4

45

Answer: The answer is 53