A child is getting ice cream and cannot decide between a cone-shaped cup and a cylindrical-shaped cup. If both cups are 12 cm high, and each has a diameter of 8 cm, which shape should the child choose to get the most ice cream? How much more ice cream will he get? Round answers to the nearest tenth.

Find the volume of the cone-shaped cup

Find the volume of the cylindrical-shakes cup.

Which shape should the child choose?

How much more ice cream will he get?

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

The volume of a rectangular box is 109.86 cubic centimeters. The prism's breadth is 13.2 cm. The prism stands 4.1 cm tall.

The length of the rectangular prism is given as,

109.86 = L x 13.2 x 4.1

109.86 = 54.12L

L = 109.86 / 54.12

L = 2.03 cm

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

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The value of r when 2^(r)=(1)/(32) is -5. This can be derived by taking the logarithm of both sides of the equation. Since log2 (2^r) = r and log2 (1/32) = -5, then r = -5.

In order to work out the value of r when 2^(r) = 1/32, we need to use logarithms. Logarithms are a way of expressing a number as the power of another number. Specifically, the logarithm of a number x is the exponent y to which a given base must be raised to equal x.

In this case, the base is 2, so log2 (2^r) = r. Therefore, to work out the value of r, we need to find the logarithm of 1/32. This can be done by dividing 1 by 32 and taking the logarithm of the result. We get log2 (1/32) = -5. Therefore, r = -5.

Since the question specifies that we should give the answer as an integer or as a fraction in its simplest form, we must conclude that the answer is -5. It is impossible to reduce this fraction any further, so it is already in its simplest form.

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The division (4+3i)/(5-7i) is performed and the result is (-1/74)+(43/74)i.

The division (4+3i)/(5-7i) is performed by multiplying the numerator and denominator by the complex conjugate of the denominator. In this case, the complex conjugate of (5-7i) is (5+7i).

So, the division can be performed as follows:

(4+3i)/(5-7i) * (5+7i)/(5+7i) = (4+3i)(5+7i)/(5-7i)(5+7i)

Multiplying the numerator and denominator gives:

(20+28i+15i+21i^2)/(25+35i-35i-49i^2)

Simplifying the numerator and denominator gives:

(20+43i-21)/(25+49)

Combining like terms gives:

(-1+43i)/(74)

Finally, dividing the numerator and denominator by 74 gives:

(-1/74)+(43/74)i

So, the division (4+3i)/(5-7i) is performed and the result is (-1/74)+(43/74)i.

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The effective annual IRR (internal rate of return) is 8%. If the dollars invested and withdrawn and the inflation rate for the 19-year time span of the investment is 9% per year the inflation-free IRR is -0.92%.

To calculate this, we need to use the IRR formula: IRR = [Sum of cash flows / (-initial investment)]1/n - 1, where n is the number of periods.

a. To find the effective annual IRR earned on this investment, we can use the following formula:

0 = -10,000/(1+IRR) - 10,000/(1+IRR)^2 - 10,000/(1+IRR)^3 - 10,000/(1+IRR)^4 + 10,000/(1+IRR)^5 + 10,000(1-0.05)/(1+IRR)^6       + 10,000(1-0.05)^2/(1+IRR)^7 + ... + 10,000(1-0.05)^14/(1+IRR)^18

The effective annual IRR earned on this investment to the nearest percent is 8%.

b. To find the inflation-free IRR earned on this investment, we can use the following formula:

Inflation-free IRR = (1 + IRR)/(1 + inflation rate) - 1

Plugging in the values we found in part (a), we get:

Inflation-free IRR = (1 + 0.08)/(1 + 0.09) - 1 = -0.0092

So the inflation-free IRR earned on this investment is approximately -0.92%.

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The solution to the compound inequality 3u-2<=-14 or 4u+4<28 is u<=-4 or u<6.

A compound inequality is an equation that combines two inequalities with the word "and" or "or".

To solve a compound inequality, we need to solve each inequality separately and then combine the solutions.

For the compound inequality 3u-2<=-14 or 4u+4<28, we will solve each inequality separately.

First, we will solve 3u-2<=-14: 3u-2<=-14 3u<=-14+2 3u<=-12 u<=-4

Next, we will solve 4u+4<28:

4u+4<28 4u<28-4 4u<24 u<6

Now, we will combine the solutions.

Since the word "or" is used in the compound inequality, the solution is the union of the two solutions. This means that the solution is any value of u that satisfies either inequality.

The solution is u<=-4 or u<6. This can also be written in interval notation as (-∞,-4] U (-∞,6).

So, the solution to the compound inequality 3u-2<=-14 or 4u+4<28 is u<=-4 or u<6.

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The exponential function that represents a vertical compression by a factor of 2 of [tex]f(x) = 2^x[/tex] is given as follows:

[tex]g(x) = 0.5(2)^x[/tex]

The standard definition of an exponential function is given as follows:

[tex]y = a(b)^x[/tex]

In which:

When a function is vertically compressed by a factor of a, we have that the output of the function is multiplied by 1/a = divided by a, hence, considering the factor of 2, the function g(x) is given as follows:

g(x) = 1/2 x f(x)

[tex]g(x) = 0.5(2)^x[/tex]

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The augmented matrix for the given system of equations is [[-2, 5, 2, 0], [3, 4, -8, 6], [-6, -6, 3, 0]]

An augmented matrix is a matrix that includes the coefficients of the variables and the constants in a system of equations. Each row of the matrix corresponds to one equation, and each column corresponds to one variable or the constant.

To write the augmented matrix for the given system of equations, we can start by rearranging the equations so that the variables are on the left side and the constants are on the right side:

5x + 2z = 2
3x + 4y - 8z = -6
-6x + 6y - 3z = 0

Next, we can write the coefficients of the variables and the constants in a matrix, with each row corresponding to one equation:

[5, 0, 2, 2]
[3, 4, -8, -6]
[-6, 6, -3, 0]

Finally, we can combine these rows into a single matrix to get the augmented matrix:

[[-2, 5, 2, 0], [3, 4, -8, 6], [-6, -6, 3, 0]]

This is the augmented matrix for the given system of equations.

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The answer is true, our inequality has a solution of x > 13. Our final answer is: 4(x^2 - x - 12) > (101 - 2x)^2

To create a radical inequality that has a solution of x > 13 and has at least 4 terms in it, we can start with the basic inequality x > 13 and add terms to both sides to create a more complex equation. For example:

√(x + 3) + 2 > √(x - 4) + 12

Now, we can rearrange the terms and square both sides to get rid of the radicals:

√(x + 3) - √(x - 4) > 10

(√(x + 3) - √(x - 4))^2 > 10^2

x + 3 - 2√(x + 3)(x - 4) + x - 4 > 100

2x - 2√(x + 3)(x - 4) > 101

Now, we can isolate the radical term and square both sides again:

-2√(x + 3)(x - 4) > 101 - 2x

4(x + 3)(x - 4) > (101 - 2x)^2

4(x^2 - x - 12) > 10201 - 404x + 4x^2

0 > 3x^2 - 403x + 10237

Since we want the solution to be x > 13, we can plug in 13 for x and see if the inequality is true:

0 > 3(13^2) - 403(13) + 10237

0 > 507 - 5239 + 10237

0 > 4505

Since this is true, our inequality has a solution of x > 13. Therefore, our final answer is:

4(x^2 - x - 12) > (101 - 2x)^2

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The correct answer is d. 9.9498.

To find the standard deviation of a distribution, we use the formula:

Standard deviation = √[(∑(x - mean)2)/n]

First, we need to find the mean of the distribution. The mean is the sum of all the values divided by the number of values. In this case, the mean is:

mean = (35 + 250)/5 = 57

Next, we need to find the sum of the squared differences between each value and the mean. This is:

∑(x - mean)2 = (35 - 57)2 + (250 - 57)2 = 485 + 37249 = 37734

Finally, we divide this sum by the number of values and take the square root to get the standard deviation:

Standard deviation = √(37734/5) = √7546.8 = 9.9498

So the standard deviation of the distribution is 9.9498.

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The values of the variables are x = 23, y = 41/3, and z = -22/3.

The matrix equation Ax = b for the given set of linear equations is:

```
| -3 0 -6 |   | x |   | 11 |
|  5 -2  3 | * | y | = | 17 |
|  2 -1 -7 |   | z |   | -3 |
```

Where A is the coefficient matrix, x is the column matrix of variables, and b is the column matrix of constants.

To find the inverse of matrix A, we perform row operations on the augmented matrix [A|I]:

```
| -3 0 -6 | 1 0 0 |
|  5 -2  3 | 0 1 0 |
|  2 -1 -7 | 0 0 1 |
```

First, we divide the first row by -3:

```
| 1 0 2 | -1/3 0 0 |
| 5 -2 3 |  0   1 0 |
| 2 -1 7 |  0   0 1 |
```

Then, we subtract 5 times the first row from the second row, and 2 times the first row from the third row:

```
| 1 0  2  | -1/3  0  0 |
| 0 -2 -7 |  5/3  1  0 |
| 0 -1 -3 |  2/3  0  1 |
```

Next, we divide the second row by -2:

```
| 1 0  2  | -1/3  0   0 |
| 0 1 7/2 | -5/6 -1/2 0 |
| 0 -1 -3 |  2/3  0   1 |
```

And then we add the second row to the third row:

```
| 1 0  2  | -1/3  0   0 |
| 0 1 7/2 | -5/6 -1/2 0 |
| 0 0  1/2|  1/6 -1/2 1 |
```

Finally, we divide the third row by 1/2, and subtract 2 times the third row from the first row, and 7/2 times the third row from the second row:

```
| 1 0 0 |  0   1  -2 |
| 0 1 0 | -4/3 2  -7/2|
| 0 0 1 |  1/3 -1  2 |
```

So, the inverse of matrix A is:

```
|  0   1  -2 |
| -4/3 2  -7/2|
|  1/3 -1  2 |
```

Now, we can perform matrix multiplication A^-1b to get the values of the variables:

```
|  0   1  -2 |   | 11 |   | x |
| -4/3 2  -7/2| * | 17 | = | y |
|  1/3 -1  2 |   | -3 |   | z |
```

```
| x |   | 1(17) + (-2)(-3) |   | 23 |
| y | = | (-4/3)(11) + 2(17) + (-7/2)(-3) | = | 41/3 |
| z |   | (1/3)(11) + (-1)(17) + 2(-3) | = | -22/3 |
``

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Answer:

Step-by-step explanation:

20c is the answer

Answer:

ans is 14

Step-by-step explanation:

i do not think is this by i know is 14

Therefore, the cost of eggs in the given years are as follows:

2015: $1.87

2016: $1.94

2017: $2.01

2018: $2.09

2019: $2.16

2020: $2.24

2021: $2.31

2022: $2.39

The cost of eggs is increasing in a linear fashion, meaning that it is increasing at a constant rate. To find the cost of eggs in a specific year, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line. The slope is the change in y divided by the change in x. In this case, y is the cost of eggs and x is the year.

Slope = (y2 - y1)/(x2 - x1) = ($2.52 - $1.66)/(2022 - 2010) = $0.86/12 = $0.0717

Next, we need to find the y-intercept. We can use one of the points and the slope to solve for b in the equation y = mx + b.

$1.66 = ($0.0717)(2010) + b

b = $1.66 - ($0.0717)(2010) = -$141.44

Now we have the equation for the cost of eggs in a given year:

y = $0.0717x - $141.44

To find the cost of eggs in a specific year, we can plug in the value of x and solve for y.

For example, to find the cost of eggs in 2015:

y = ($0.0717)(2015) - $141.44 = $1.87

Therefore, the cost of eggs in 2015 was $1.87.

Similarly, we can find the cost of eggs in other years:

In 2016: y = ($0.0717)(2016) - $141.44 = $1.94

In 2017: y = ($0.0717)(2017) - $141.44 = $2.01

In 2018: y = ($0.0717)(2018) - $141.44 = $2.09

In 2019: y = ($0.0717)(2019) - $141.44 = $2.16

In 2020: y = ($0.0717)(2020) - $141.44 = $2.24

In 2021: y = ($0.0717)(2021) - $141.44 = $2.31

In 2022: y = ($0.0717)(2022) - $141.44 = $2.39

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70 hours will Audrey spend on her English assignments.

2.9 days will it take Audrey to complete her assignments.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mr. Dalton has told her she will have 28 assignments this semester.

She needs to spend 2.5 hours on each assignment.

So, she will spend on Assignments

= 28 x 2.5

= 70 hours

Now, In one day = 24 hours

So, to complete the assignments it will take

= 70/ 24

= 2.9 days

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The value of the Upper quartile is 12.5 for the set of data represented by the box and whisker plot.

When presented in increasing order, the value that 75% of data points fall within is known as the upper quartile, or third quartile (Q3). As the second quartile, the median is used (Q2). Interquartile range (IQR) refers to the space between the upper and lower quartiles.

Median, representing or having to do with a value or quantity that sits in the middle of a frequency distribution of observed values or quantities, with an equal chance of falling above or below it.

In box and whiskers plot, The upper quartile is the point at the right border of the box. In this case, that value is 12.5. It reflects the median of the data set's upper half.

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The lines IJ and KL are parallel , so the slopes of the lines are equal and the value of b is -4.75

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be I ( -4 , 17 )

Let the second point be J ( 1 , -3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = ( 17 - ( -3 ) ) / ( -4 - 1 )

Slope m₁ = -20/5

Slope m₁ = -4

Now , the lines IJ and KL are parallel , so the slopes are equal

Let the third point be K ( b , 3 )

Let the fourth point be L ( -5 , 4 )

Slope m₂ = ( 4 - 3 ) / ( -5 - b )

Slope m ₂ = 1/ ( -5 - b )

where m₁ = m₂

On simplifying , we get

1/ ( -5 - b ) = -4

Multiply by ( -5 - b ) on both sides , we get

1 = 20 + 4b

Subtracting 20 on both sides , we get

4b = -19

Divide by 4 on both sides , we get

b = -4.75

Therefore , the value of b is -4.75

Hence , the slope of the lines is m = -4

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Answer:

Step-by-step explanation:

pamela:  j - 6 years = juri's age.

juri: j + 6 years.

sum of pamela and juri = 94 years.

  j +(j - 6) = 94

  2j - 6 = 94

  2j = 94 - 6

  2j = 88

  j = 44

juri age: 44years and pamela age: 44years - 6years = 38years.

The area in square miles (rounded to the nearest integer) is:

area = 2,492 square miles.

Here we need to perform a change of units from acres to square miles. We know the relation:

1 square mile = 640 acres.

And we want to find the area of a park with 1,505,011 acres in square miles.

We can rewrite the relation above as:

1 acre = (1/604) square miles.

Then the area of the park will be:

Area = 1,505,011 acres  = 1,505,011*(1/604) square miles

Area = 2,491.74 square miles.

Rounding to the nearest integer we will get:

area = 2,492 square miles.

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(a) Each row represents a different individual and Each column represents a different variable or characteristic. (b) Identifying the relationship between different variables and the likelihood of a person having a heart attack, this problem can be solved using this data table.

(a) The table is organized into rows and columns. Each row represents a different individual and includes information about their age, gender, weight category, cholesterol level, marital status, stress level, and anxiety trait. Each column represents a different variable or characteristic, such as age, gender, weight category, etc. The rows and columns are used to organize the data and make it easier to read and understand.

(b) The problem that can be solved using this data table is identifying the relationship between different variables and the likelihood of a person having a heart attack. For example, the table can be used to determine if there is a correlation between age, gender, weight category, cholesterol level, marital status, stress level, and anxiety trait and the likelihood of a person having a heart attack.

(c) Decision table for the above table:

| Age | Gender | Weight Category | Cholesterol Level | Marital Status | Stress Level | Anxiety Trait | Heart Attack |
|-----|--------|-----------------|-------------------|----------------|--------------|---------------|--------------|
| 60  | Female | Overweight      | 150               | Yes            | High         | Yes           | Yes          |
| 69  | Male   | Overweight      | 170               | Yes            | Normal       | Yes           | Yes          |
| 52  | Female | Normal          | 174               | No             | High         | Yes           | No           |
| 66  | Male   | Overweight      | 169               | Yes            | Normal       | No            | Yes          |
| 70  | Female | Overweight      | 237               | Yes            | Normal       | No            | Yes          |
| 52  | Female | Normal          | 174               | No             | High         | Yes           | No           |
| 58  | Male   | Normal          | 140               | Yes            | Normal       | No            | No           |

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Answer:

x=6

My best attempt

Step-by-step explanation:

The ratio is 4:5.6 from top to bottom.

We have a ratio of x:8.4

We will make an equation.

4:5.6=x:8.4

Cross multiply:

5.6x=4x8.4

5.6x=33.6

Divide both sides by 5.6:

x=6

The value of angle A and C is 68° respectively

The sum of angle In a triangle is 180°. This means that A+B+C = 180°.

An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as havingat least two sides of equal length.

Since AB = BC, then the triangle is an isosceles triangle.

The sum of angle in a triangle is 180. This means that A+B+C = 180

Since AB = BC , then angle A = angle C

therefore , substitute C for A

C +B + C = 180

2C + 44 = 180

2C = 180-44

2C = 136

divide both sides by 2

C = 136/2

C = 68°

then A= C = 68°

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Answer:

Step one: The parent absolute value function will be reflected across the x-axis and translated down four units.

Step two: The vertex of the parent is (0,0). A reflection does not change the vertex, but the translation will move the vertex (plot 0,-4)

Step three: Evaluate the function at two more points on either side of the vertex. f(-1)=-5 f(1)=-5

Step-by-step explanation:

sorry if im wrong =/

Step-by-step explanation:

If triangle JKL is dilated by a scale factor of 2, this means that all sides of triangle JKL are multiplied by 2 to form triangle J'K'L'.

Therefore, if the measure of side LJ is x, then the measure of side LJ' is 2x. Similarly, if the measure of side LK is y, then the measure of side L'K' is 2y.

To find the measure of side L'J', we can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.

In triangle JKL, the sum of the measures of angles J, K, and L is 180 degrees. This means that angle JKL is:

angle JKL = 180 - angle J - angle K

Since triangle JKL is dilated by a scale factor of 2, the corresponding angles in triangle J'K'L' are congruent to the angles in triangle JKL. Therefore, angle J'K'L' is also:

angle J'K'L' = 180 - angle J - angle K

Since angle J'K'L' is a straight line (180 degrees), we can find angle J'L'K' by subtracting angles J'K'L' and J'KL':

angle J'L'K' = angle J'KL' - angle J'K'L' = angle JKL - angle J'K'L'

Using the fact that corresponding angles in similar triangles are congruent, we have:

angle J'KL' = angle JKL

angle L'K'J' = angle LKJ

Therefore, angle J'L'K' is:

angle J'L'K' = angle JKL - angle J'K'L' = angle JKL - angle LKJ

Since triangle JKL is a triangle, we know that angle JKL + angle LKJ + angle LJK = 180 degrees. Therefore, we can rewrite the equation for angle J'L'K' as:

angle J'L'K' = (angle JKL + angle LKJ + angle LJK) - 2(angle JKL + angle LKJ)

Simplifying this equation, we get:

angle J'L'K' = angle LJK - angle JKL

Using the fact that corresponding angles in similar triangles are congruent, we have:

angle L'J'K' = angle LJK

angle J'L'K' = angle JKL

Therefore, triangle J'L'K' is similar to triangle JKL, and we can write the ratio of corresponding side lengths as:

L'J' / LJ = K'L' / KL

Since triangle JKL is dilated by a scale factor of 2, we have:

K'L' = 2LK

L'J' / LJ = 2L'K' / LK

Substituting L'K' = 2LK, we get:

L'J' / LJ = 4

Therefore, the measure of side L'J' is four times the measure of side LJ. If the measure of side LJ is x, then the measure of side L'J' is 4x.

The measure of side L'J' in the dilated triangle J'K'L' can be found by multiplying the length of the corresponding side in the original triangle by the scale factor of 2.

In the field of Mathematics, specifically geometry, a dilation is a transformation that alters the size of a figure without changing its shape. If Triangle JKL is dilated by a scale factor of 2 to form Triangle J'K'L', every dimension of Triangle JKL is multiplied by this scale factor to get the corresponding dimension in Triangle J'K'L'.

Therefore, if you want to determine the measure of side L'J' in the new triangle, we need to know the length of the corresponding side in the original triangle (which is LJ). You would then multiply this length by the scale factor. The result would give you the length of side L'J'.

For example, if the length of side LJ in the original triangle is 4 units, the length of the corresponding side L'J' in the dilated triangle would be 4 * 2 = 8 units.

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Therefore , the solution of the given problem of unitary method comes out to be 29 1/3 yards of fabric.

To finish the job using the unitary method, multiply the measures taken from this microsecond section by two variable. In a nutshell, when a wanted thing is present, the characterized by a group but also colour groups are both eliminated from the unit technique. For expression instance, 40 changeable-price pencils would cost Inr ($1.01). It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.

Here,

If 1 2/9 yards of cloth are required for each choir robe, then 24 choir robes will require:

=> 1 2/9 * 24 = (1*9+2)/9 * 24 = 11/9 * 24

We add the numerators and denominators together to multiply fractions:

=> 11/9 * 24/1 = (1124)/(91) = 264/9

264/9 yards of cloth will be required to make 24 choir robes. This can be stated simply as:

(Rounded to the closest 1/3 yard) 264/9 = 29 1/3 yards of fabric.

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Answer:

-8=x

Step-by-step explanation:

-6=x+2

take away 2 from each side

-8= x

Answer:

x = -8

Step-by-step explanation:

To solve for x in equation 3(x - 2) = 4x + 2, we need to simplify the expression on the left side of the equation by using the distributive property. This gives:

3x - 6 = 4x + 2

Next, we need to isolate the variable x on one side of the equation. We can do this by adding 6 to both sides of the equation:

3x - 6 + 6 = 4x + 2 + 6

Simplifying this expression, we get:

3x = 4x + 8

Now, we need to isolate x again by subtracting 4x from both sides:

3x - 4x = 4x + 8 - 4x

Simplifying this expression gives:

-x = 8

Finally, we solve for x by multiplying both sides of the equation by -1:

x = -8

Therefore, the solution to the equation 3(x-2) = 4x + 2 is x = -8.

The following are solutions to the given problems given f(x)=x²- 5x+7 and g(x)=3x² + 4x - 2;

(f- g)(x) = -2x² - 9x + 9

(g-f)(x) = 2x² + 9x - 9

(f + g)(x) = 4 x² - x + 5

A function can be defined as a relation between a set of inputs having one output each. In other words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain (range). A function is generally denoted by f(x) where x is the input.

here, we have,

The general mathematical representation of a function is y = f(x).

f(x)=x²- 5x+7

g(x)=3x² + 4x - 2

so, we get,

(f- g)(x) = x²- 5x+7 - (3x² + 4x - 2)

(f- g)(x) = x²- 5x+7 - 3x² - 4x + 2

(f- g)(x) = -2x² - 9x + 9

(g-f)(x) = 3x² + 4x - 2 - (x²- 5x+7)

(g-f)(x) = 3x² + 4x - 2 - x² + 5x - 7

(g-f)(x) = 2x² + 9x - 9

(f + g)(x) = x²- 5x+7 + 3x² + 4x - 2

(f + g)(x) = 4 x² - x + 5

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Answer:

C is your answer

Step-by-step explanation:

Answer:

Yes they are similar since it is a regular shape

Yes, the red outer shape is a regular hexagon. the hexagons are similar. red outer shape is a regular hexagon can be seen as regular hezagon, whereby the hezagon are been considered to be similar.

NOTE; We can see that from the given two regular hexagon, all the interior angle are equal, hence the are similar.

A regular hexagon is a polygon with six equal sides and six equal angles. All the interior angles of a regular hexagon are 120 degrees, and the sum of all interior angles of a regular hexagon is 720 degrees. The regular hexagon is a highly symmetrical shape and is often used in geometry and design.

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1. HP price for Susie is R 282600 and David is R 179300

2. The difference between the total price paid by Susie and David  is R 103300

3. The interest that Susie and David have to pay as a percentage of the cash price​ is 117.38% and 37.92%

The HP price, also known as the hire purchase price, is the total amount that a buyer pays for a product when purchasing it through a hire purchase agreement.

It includes the cash price of the product plus any interest and fees charged by the lender.

Here we have

3.1.1, For Susie:

The cash price of the car is R 130000.

She pays a 10% deposit, which is:

= [10/100] × 130000 = R 13000

=> HP price =  the cash price - the deposit

=>  130000 -  13000 = R 117000

She will pay monthly installments of R 4600 for 3 years,

which is 36 months.

Therefore, the total amount she will pay is:

36 x 4600 = R 165600

Therefore, the total amount she will pay is R 165600

The HP price for Susie is,  

117000 + 165600 = R 282600

For David:

The cash price of the car is R 130000. He pays a 35% deposit, which is:

=> [ 35/100] × 130000 = R 45500

The HP price = 130000 - 45500 = 84500

He will pay monthly installments of R 3950 for 2 years, which is 24 months. Therefore, the total amount he will pay is:

24 × 3950 = 94800

The HP price for David is, therefore:

=> 84500 + 94800 = R 179300

3.1.2, The difference between the total price paid by Susie and by David  

=  282600 - 179300 = R 103300

3.1.3

For Susie:

The total interest she has to pay is the difference between the HP price and the cash price, which is:

=> 282600 - 130000 = R 152600

The interest rate as a percentage of the cash price is:

=> (152600/130000) × 100% = 117.38%

For David:

The total interest he has to pay is the difference between the HP price and the cash price, which is:

=> 179 300 - 130 000 = R 49 300

The interest rate as a percentage of the cash price is:

=> (49 300/130000) × 100% = 37.92%

Therefore,

1. HP price for Susie is R 282600 and David is R 179300

2. The difference between the total price paid by Susie and David  is R 103300

3. The interest that Susie and David have to pay as a percentage of the cash price​ is 117.38% and 37.92%

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