One more math question! Thanks!

Answer:

C option is correct

Step-by-step explanation:

Given: payment borrowed (P)= $5,500

            rate (r)=11.5 or 0.115

           Time(t)= 5 years

           Compound monthly(k)=12

To find : Monthly payment (M)

Formula used :  [tex]M= P/(\frac{1-(1+\frac{r}{k})^{-kn}}{\frac{r}{k}})[/tex]

 Solution :     [tex]M= 5500/(\frac{1-(1+\frac{0.115}{12})^{-60}}{\frac{0.115}{12}})[/tex]

                by solving we get, M =$120.95

therefore, option C is correct

To find the difference, first find the product of 21.33 and 2.04, then find the sum of 1.115, 3.18, 22.0613, and 12.2384, and finally subtract the sum from the product. The correct answer is 4.9185.

To find the difference between the product of 21.33 and 2.04 and the sum of 1.115, 3.18, 22.0613, and 12.2384, follow these steps:

The difference is 4.9185, which corresponds to option C in the given choices.

Answer:

k=-11

Step-by-step explanation:

Correct for plato

f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;

Answer: - 28

Step-by-step explanation:

f(x) = -5x^2 - x + 20

To find f(3), we simply put x = 3 and then simplify

f(3) = - 5(3)^2 - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 +20

= -28

f(3) = -28

The algebraic expression 5x + 3y² + 4 has variables x and y, the constants 5, 3, and 4, the coefficients are 5 and 3 and the exponents are 1 and 2.

An algebraic equation consists of terms separated by the operation of addition and subtraction.

We know in an algebraic expression a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+aⁿ,

x's are variables a's are constants and n's are exponents.

∴ In the algebraic expression 5x + 3y² + 4,

Constants are the numerical values which are 5, 3, and 4.

The variables are x and y and the exponents are the powers of the variables 2 for y and 1 for x and the coefficients are 5 and 3.

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Answer:

For k12- the answer is Quadrilateral RSTU is not a rectangle because it has no right angles.

Step-by-step explanation:

Solution: A quadrilateral RSTU whose vertices are  R(−4, 1) , S(4, −1) , T(3, −6) , and U(−5, −4).

RS = [tex]\sqrt{(4+4)^{2}+(-1-1)^{2}} =\sqrt{64+4}= \sqrt{68}[/tex]

ST= [tex]\sqrt{(4-3)^{2}+(-1+6)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

TU=[tex]\sqrt{(3+5)^{2}+(-6+4)^{2}}= \sqrt{64+4}= \sqrt{68}[/tex]

UR =[tex]\sqrt{(-5+4)^{2}+(-4-1)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

→RS=TU, and ST=UR⇒ Opposite sides are equal.

Slope of RS = [tex]\frac{-1-1}{4+4} = \frac{-2}{8}=  \frac{-1}{4}[/tex]

Slope of TS= [tex]\frac{-6+1}{3-4} =\frac{-5}{-1}=5[/tex]

Slope of RS × Slope of TS = -1/4 × 5 = -5/4 ≠ -1, So lines are not perpendicular.

∴ quadrilateral RSTU  is not a rectangle.

Answer:

Step-by-step explanation:

We assume the box is open-top.

If the width of the box is represented by w, then its length is 2w. The area of the base is then w·2w = 2w².

The combined area of the sides is the product of the perimeter of the base, 2(w+2w) = 6w and the height, 0.5, so is 3w.

Since the base area is 1.08 m² less than the lateral area, we have

... 2w² = 3w -1.08

... 2w² -3w +1.08 = 0 . . . . rearrange to standard form

... w² -1.5w +0.54 = 0 . . . make the leading coefficient 1 (divide by 2)

... (w -0.9)(w -0.6) = 0 . . . factor

The width of the box may be either 0.6 meters or 0.9 meters.

The volume is the product of width, length, and height

V = w·2w·0.5 = w²

V = 0.36 m³ . . . or . . . 0.81 m³. . . . . . (there are two possible answers)

Answer:

22

Step-by-step explanation:

The value of expression is 22.

Step-by-step explanation:

Given the statement “two less than six times the difference of a number and five” when n = 9. we have to find the value of expression formed by the above statement.

Difference of a number n and 5 gives (n-5)

Now, we have to write two less than 6 times the difference, we get the expression  6(n-5)-2

Here, the number n is 9

∴Value of expression is 6(9-5)-2=6(4)-2=24-2=22

Hence, the value of expression is 22.

The maximum revenue for the computer company is achieved at the price of $11 per box which is calculated based on the decrease in quantity sold with every $1 increase in price.

To find the price per box that will provide the maximum revenue for the computer company, we need to analyze how changes in price affect the number of boxes sold and the revenue generated. The company sells 130 boxes of printer paper each week at $9 per box. For each $1 increase in price, it will sell 10 fewer boxes.

Let's define the revenue function as R(p) where p is the price per box. The initial revenue is 130 boxes × $9. For each $1 increase, the revenue function becomes (130 - 10(p - 9)) × p. We need to find the value of p that maximizes this revenue function.

Let's calculate:

We can see that the revenue is maximum at $11 per box. So, the price per box that will provide the maximum revenue for the computer company is $11.

To find the rectangle with the maximum area, we need to find the dimensions and write the objective function in terms of the width of the rectangle.

To find the rectangle with the maximum area, we need to find the dimensions of the rectangle that will give us the maximum area. Let's assume the width of the rectangle is w. Since the perimeter of the rectangle is given as 21, we can write the equation:

2w + 2l = 21

We can rearrange this equation to solve for l:

2l = 21 - 2w

l = (21 - 2w)/2

The area of the rectangle can be calculated as:

A = w * l

Substituting the expression for l we obtained earlier:

A = w * (21 - 2w)/2

Expanding and simplifying this equation will give us the objective function in terms of the width w.

Chance and Sandy together can finish the work in 4/3 hours.

The relationship between time and efficiency is they are inversely proportional.

If one quantity increases other decreases and vice versa.

Given, Chance can wash the car in 2 hours.

∴ The efficiency of Chance is (1/2).

Sandy can wash the same car in 4 hours.

∴ The efficiency of Sandy is (1/4).

So, their combined efficiency is (1/2 + 1/4) = 3/4.

∴ Together they can finish the work in 4/3 hours.

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Answer:

Step-by-step explanation:

The area of the triangle inside the rectangle is calculated by using the formula for the area of a triangle, 1/2 * base* height. Given the base is the length of the rectangle and the height is the breadth of the rectangle, we substitute these measurements into the formula to determine the area. Area of triangle LMN is 15.6 square cm.

To determine the area of the triangle inside the rectangle, we first need to understand the relationship between these two shapes. Given the base of the triangle, LN, is the same as the length of the rectangle, 6.5 cm, and the triangle is between the parallel lines of the rectangle, we can infer that the height of the triangle is the same as the breadth of the rectangle, which is 4.8 cm.

Now, the area of a triangle is given by the formula 1/2 * base * height.

Substituting the given measurements into this formula, we get

= 1/2 * 6.5 cm (base) * 4.8 cm (height)

= 0.5 * 6.5 cm (base) * 4.8 cm (height)

= 15.6 square cm

This will give us the area of the triangle LMN.

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The complete question is given below:

Triangle LMN is positioned inside rectangle LKPN as shown in the diagram. Which is the area of △LMN?

The length of rectangle and triangle are same, 6.5 cm. The breadth of rectangle is 4.8 cm. The triangle lies between the parallel lines of rectangle with base LN.

Answer:

It should be C aka 270°

Step-by-step explanation:

Answer:

3 option is correct.

Step-by-step explanation:

Given Triangle RST has vertices R(2, 0), S(4, 0), and T(–3, –1). The image of triangle RST after a rotation has vertices  R'(0, –2), S'(0, –4), and T'(–3, –1).

We have to tell the rule describes the transformation.

A rotation is transformation that turns a figure about a fixed point. An object and its rotation are the same shape, but the figures may turned or rotate in different directions.

Here, the coordinates shift after rotation according to the rule

(2,0) → (0,-2) i.e (x, y) → (y, -x)

As, Rotation of 270º on coordinate axes.

(x, y) → (y, -x)

which match to the given rule.

hence, 3 option is correct.

The data collected on the number of un-popped kernels of popcorn, where one group's bags were frozen and the other's were left at room temperature, are considered independent. This is because each bag was only subjected to one condition and was not measured in both conditions, which would be necessary for paired data.

In the question provided, students collected data on the number of un-popped kernels of microwave popcorn where one group froze the popcorn while the other left it at room temperature. To determine whether the data are paired or independent, we need to understand the nature of the experiment setup.

Since every student’s popcorn was subject to a unique condition (frozen or room temperature) and they're not measured in both conditions, we can deduce that the data here are independent. This means that the outcome of one does not influence the outcome of the other.

In comparison to a scenario where the same item or subject is tested under two different conditions the popcorn experiment does not meet this criterion; that would be an example of paired data. An unpaired test such as the unpaired t-test may be appropriate here if we want to assess the effects of freezing on the number of un-popped kernels compared to leaving them at room temperature. Each bag of popcorn represents an independent sample from the population of all popcorn bags.

Answer:

The answer is 7 units

Step-by-step explanation:

I don't know but I got it right

I think you dont need to calculate anything they gave us the answer when they said PZ=7