If the variable cost per unit increases by $1, spending on advertising increases by $1,000, and unit sales increase by 100 units, what would be the net operating income?

Answer:

26,225.3 = 3.14(12^2)h + (2/3)(3.14)(12^3)

26,225.3 = 452.16h + 3,617.28

452.16h = 22608.02

h = 50 feet

26,225.3 = π(12^2)h + (2/3)π(12^3)

26,225.3 = 144πh + 1,152π

144πh = 26,225.3 - 1,152π

h = (26,225.3 - 1,152π)/(144π)

h = 49.97 feet = 50 feet

Answer:

35 balloons

Step-by-step explanation:

If wrong srry...hope this helps

Answer:

35 bunches

Step-by-step explanation:

25*7=175 balloons

5 balloons in each bunch=175/5

=35

The exact value of tan  θ = 15/ 8

Trigonometric Identities are defined as the equalities involving trigonometry functions and also one that holds true for all the values of the variables  in the given equation.

The trigonometric functions are;

From the information given, we have;

tan θ = opposite/ adjacent

To determine the adjacent sent

17² - 15² = x²

x = √64

x = 8

Substitute the value

tan θ = 15/8

Hence, the value is 15/8

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Answer:

\(\frac{1}{2-tan(y)} = \frac{3\sqrt{3}}{6\sqrt{3}-1}\)

After Rationalising:

\(\frac{1}{2-tan(y)} = \frac{54 +3\sqrt{3}}{107}\)

Step-by-step explanation:

tan(x) = 3√3

x + y = 90 (complimentary angles)

⇒ x = 90 - y

tan(\(\frac{\pi}{2}\) - θ) = cot(θ)

⇒ tan(90 - θ) = cot(θ)

⇒ tan(90 - y) = cot(y)

⇒ tan(x) = cot(y)

⇒ cot(y) = 3√3

⇒ \(\frac{1}{tan(y)}\) = 3√3

⇒ tan(y) = \(\frac{1}{3\sqrt{3}}\)

\(2-tan(y) = 2 - \frac{1}{3\sqrt{3}} \\\\= \frac{2*3\sqrt{3} -1}{3\sqrt{3} } \\\\= \frac{6\sqrt{3} -1}{3\sqrt{3} }\\\\\\\implies \frac{1}{2-tan(y)} \\\\= \frac{3\sqrt{3}}{6\sqrt{3}-1}\)

Multiply and divide by : 6(√3) + 1

\(\frac{3\sqrt{3}}{6\sqrt{3}-1}\frac{6\sqrt{3}+1}{6\sqrt{3}+1}\\ \\= \frac{(3*6*\sqrt{3}*\sqrt{3}) + 3\sqrt{3}}{6^2 * (\sqrt{3})^2 -1^2}\\\\= \frac{18*3 +3\sqrt{3}}{36*3 -1}\\\\= \frac{54 +3\sqrt{3}}{108-1}\\\\= \frac{54 +3\sqrt{3}}{107}\)

Answer:

that is 72.97 US dollars

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer: After investing for 10 years at 8% interest

Step-by-step explanation: your $10,000 investment will have grown to $21,589 This calculator determines the future value of $10k invested for 10 years at a constant yield of 8.00% compounded annually

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

Answer:

The answer is 70.8

Step-by-step explanation:

You do 7x3 times 2 and then 3x2.6 and then 7x3 again. You add them all up and get 70.8

21 + 21 + 3.9 + 3.9 + 21 = 70.8

Answer:

-5

Step-by-step explanation:

g(x)=x^2+4x-5

g(-4)=(-4)^2+4(-4)-5

g(-4)=(-4)(-4)+(-16)-5

g(-4)=16-16-5

g(-4)=0-5

g(-4)=-5

Answer:

a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Step-by-step explanation:

Given : Statement  'The relationship between numbers divisible by 5 and 10'.

To find : What statement BEST explains the statement?

Solution :

First we study the divisibility rules,

Rule for the number divisible by 5 is that number must end in 5 or 0.

Rule for the number divisible by 10 is that number need to be even and divisible by 5, as the prime factors of 10 are 5 and 2 and the number to be divisible by 10, the last digit must be a 0.

According to the divisibility rules Option D is correct.

Therefore, The correct statement explains the relationship between numbers divisible by 5 and 10 is a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

The graph for the given mode function, y ≥ |x| - 4 is attached below.

In mathematics, the modulus function is a function for which any input value of x, output will be always positive

Given that,

The modulus function,

y  ≥  |x| - 4

We can write given function in a following two ways-

y  ≥  x - 4

y  ≥  -x - 4

So, for any value of x

y should be greater than modulus functions value

Plotting graph for  y  ≥  x - 4

So first draw line  x - 4

Now, here we have inequality sign

So left side region will be our desired space

Similarly, Plotting graph for  y  ≥  -x - 4

So first draw line  -x - 4

Now, here we have inequality sign

So right side region will be our desired space

Hence, Graph is drawn for the given function

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The pattern can be written as a whole number by the general equation written as, \(E = \dfrac{n} { 10^k }\).

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Decimal equivalent to 12 with zero tenths and hundredths: 12.00

To divide 3 by powers of 10, we can simply move the decimal point to the left by the same number of places as the exponent of 10. For example:

3 ÷ 10 = 0.3

3 ÷ 100 = 0.03

3 ÷ 1000 = 0.003

and so on.

So in general, to divide a whole number n by a power of 10 with exponent k, we can write:

The pattern can be written as:-

\(E = \dfrac{n} { 10^k }\)

Then we can move the decimal point in the numerator k places to the left to get the decimal equivalent.

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Answer:

1.5 for each song.

Step-by-step explanation:

subtract $6.99 by $21.99 = 15 divided by 10 = 1.5

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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The total shipment amount of $ 33,066 must be paid back in order to receive a cash reimbursement for the $20,040 in goods that were returned.

When describing a singular noun that CANNOT be measured, you should use the word amount. – When discussing a singular, plural, or countable noun, the word number should be used. – Any single or plural noun that can be counted or measured should be referred to as having a certain quantity.

1/10 n (unclear) indicates that the consumer settled their debts within 10 days and was entitled to a 1% sales discount.

Therefore, the consumer should receive a refund equal to what they paid, which is 1% less than the total amount.

Using that as a basis, the calculation is,

Amount owed * (1-discount rate)

= $ 33,400 * ( 1 - 0.01)

= $ 33,066

$ 33,066 is is the sum that must be reimbursed.

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The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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Answer:

12√2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the length of each leg is just the hypotenuse divided by the square root of 2. Therefore, 24/√2 = 24√2/2 = 12√2.

Answer:

D.

Step-by-step explanation:

To find how much tons each tank can hold, we can use this equation:

So, each tank can hold 28 tons.

To solve for the number of tanks needed to ship 420 tons of gasoline, we can use this equation:

To check, we can use this equation:

Therefore, to ship 420 tons of gasoline with each tank containing 28 tons, the company will need 15 tanks.

(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

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Answer:

Step-by-step explanation:

1 kilogram has 1,000,000 milligrams so we do 1,000,000x28= 28,000,000 milligrams

Answer: 28 million milligrams

Answer:

The second one I believe

Answer:

6^2= 36

Step-by-step explanation:

Answer:

because that is what sqrt are

Step-by-step explanation:

A square root of a number is a value that, when multiplied by itself, gives the number. Example: 6 × 6 = 36, so a square root of 36 is 6 ... The symbol is √ which always means the positive square root.

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

the equilibrium constant for this reaction in terms of the equilibrium constants is Knet = √Ka/Kb

and for the reactions below:

2 S(s) + 3 O2(g) 2 SO3(g) is √Ka

S(s) + O2(g) SO2(g) is 1/Kb

A reversible reaction mechanism progresses from initial conditions to chemical equilibrium at a constant temperature, with all reactants and products present in constant non-zero amounts. At this temperature, an equilibrium constant "K" exists. It is frequently followed by a subscript to indicate the type of equilibrium constant that it considers depending on the phases of reaction species that it considers. The expression for each type of equilibrium constant differs with the direction and stoichiometry of the balanced reaction equation. This enables existing equations with known "K" values to be exploited in order to derive new "K" values for related systems.

SO2(g) + 1/2 O2(g)SO3 (g) is the desired reaction equation

We consider the first given reaction system at the bottom. We divide its coefficients by two to get the square root of the initial equilibrium constant: 2 S(s) + 3 O2(g) (g) 2 SO3(g) = √Ka

Then we reverse the second given reaction system at the bottom. Its current equilibrium constant is the reciprocal of the predecessor: S(s) + O2(g) SO2(g) is 1/Kb

The above two equations total to yield our target equation. The product of the two values obtained above yields the target equilibrium constant: Knet = √Ka/Kb

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Given:

\(y = \frac{1}{2}x^2\\\)

Please refer to the attached image for the answer.