Stephanie found a sweater on sale for $12.88 the original price of the sweater was $34.95 about how much did she save on the sweater

Answer:

x = 6.428

Step-by-step explanation:

2(7x-34) = 22

Distribution:

2 times 7x = 14x

2 times -34 = -68

Your equation is now:

14x - 68 = 22

Add 68 on both sides to leave 14x alone

68+22 = 90

You are left with this equation:

14x = 90

Divide by 14 to isolate the x

90/14

x = 6.428 (approximately)

Answer:

Work:

Hence, the value of x is 45/7.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

20, 3 and 4 in that order going down.

1/2 is the same as 10/20 as they are both equal to one half.

1/3 is the same as 3/9 as they are both equal to one third.

3/4 is the same as 12/16 as they are both equal to three quarters.

Daniella and her friends collected a total of 44 shells.

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

Given ,

Daniella and her 10 friends are collecting shells on the beach to make crafts.

After they have collected the shells and put them in a pile, they split them evenly among the group. Each person gets 4 shells.

The correct equation for this problem is:

s = 11 x 4

where s is the total number of shells collected.

Simplifying this equation, we have:

s = 44

Therefore, they collected a total of 44 shells.

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Answer:

A)

this is a corect answer for this question:)

The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order so area of octagon is 11 + 12√2 square units.

The sides of octagon are 1, 2, 3, 4, 1, 2, 3, 4 as shown in the figure,

The area of the octagon = area of the rectangle - the area of the four right isosceles triangular corners.

A = (lxb) - 1/2[√2×√2 + √8×√8]x2

A = [(3+√2+√8)(1+√2+√8)] -1/2[√2×√2 + √8×√8 + √2×√2 + √8×√8]

A = 3 + 12√2 +7

A = 11 + 12√2

Therefore, The area of the octagon is 11 + 12√2 square units.

A closed two-dimensional shape having eight sides, eight vertices, and eight internal angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon. The next sections also discuss the various octagon types, such as convex and concave octagons.

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Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%, the firm's cost of equity using the CAPM approach is 10.3%.

To calculate the firm's cost of equity using the CAPM (Capital Asset Pricing Model) approach, we use the following formula:

Cost of Equity (re) = rRF + (rM - rRF) * β

Given: Risk-free rate (rRF) = 5.5% Market risk premium (rM - rRF) = 6% Beta (β) = 0.8

Using the provided data, we can calculate the firm's cost of equity:

Cost of Equity = 5.5% + (6% * 0.8) = 5.5% + 4.8% = 10.3%

Therefore, the firm's cost of equity using the CAPM approach is 10.3%.

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Algorithm is a set of instructions for solving a problem or performing a task, typically designed for a computer to follow.

An algorithm is essentially a step-by-step procedure for solving a problem or accomplishing a specific task. It is used in various fields, including mathematics, computer science, engineering, and many others. In computer science, algorithms are essential for software development and programming, as they provide a systematic approach to designing and implementing complex programs. The process of developing an algorithm typically involves breaking down a problem into smaller sub-problems, identifying the key steps required to solve each sub-problem, and then putting the steps together in the correct order to form a complete solution.

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Answer:

To divide fractions, we can use the reciprocal (or multiplicative inverse) of the second fraction and then multiply the two fractions.

So to solve ⅚ ÷ ⅔, we can write it as:

⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹

where (⅔)⁻¹ is the reciprocal of ⅔, which is 3/2.

So we have:

⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹ = ⅚ × 3/2

We can simplify this expression by canceling out a common factor of 2 in the numerator and denominator:

⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹ = ⅚ × 3/2 = (⅚ × 3) / 2 = 9/12

Therefore, another way to solve ⅚ ÷ ⅔ is the equation:

⅚ ÷ ⅔ = 9/12

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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30 lemon candies he give his friend.

It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.

320 (7/16)  =   140  were orange

320 - 140  =  180  were lemon

Let x be the number of lemon ones he gave  away

So,

[ 140 - 30 ]  / [ 180 - x ] =  11/15

110  =  (11/15) ( 180 - x )

(15/11) (110)  = 180 - x

150  = 180  - x

x = 180  - 150  =   30

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Answer:

(7x + 5)(- x - 11)

Step-by-step explanation:

9(x - 1)² - 16(x + 2)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

9(x - 1)² - 16(x + 2)²

= [ 3(x - 1) ]² - [4(x + 2) ]² with a = 3(x - 1) and b = 4(x + 2)

= [ 3(x - 1) + 4(x + 2) ] [ 3(x - 1) - 4(x + 2) ] ← distribute parenthesis

= [ 3x - 3 + 4x + 8 ] [ 3x - 3 - 4x - 8 ]

= (7x + 5)(- x - 11 )

Answer:

c) 32.5

Step-by-step explanation:

the formula for the mean of a data set is-

average= sum/count

14+54+54+35+25+34+21+23=260

so now we have our sum- 260

for the count, we just have to count how many numbers there are-

8

average= sum/count

=260/8

=32.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

a) The exact real interest rate is approximately -5.75%.

b) The exact real interest rate is approximately 4.24%.

c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

Step by step:

a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:

R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575

Therefore, the exact real interest rate is approximately -5.75%.


b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424

Therefore, the exact real interest rate is approximately 4.24%.


c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238

Therefore,  

d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985

Therefore, the exact real interest rate is approximately -99.85%.

e) From the results obtained, we can draw the following conclusions about interest rates and inflation:

- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.

- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.

- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.

- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.

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Answer:

your answer is the option a

Answer:

1: a. T; b. T; c.  F

2: a. F; b. T; c. T

3: a. T; b. F; c. T

Step-by-step explanation:

Figure 1

a. T

b. T

c.  F

Figure 2

a. F

3x + 21 = 6x - 60

6x - 3x = 21 + 60

3x = 81

x = 27

b T

c T

Figure 3

a. T

b. F

12x - 18 = 8x + 10

12x - 8x = 18 + 10

4x = 28

x = 7

8x + 10 = 8(7) + 10 = 56 + 10 = 66

c. T

Answer:

Step-by-step explanation:

The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.

9514 1404 393

Answer:

  3)  1,440

Step-by-step explanation:

The dimensions of the prism can be expressed in terms of the cube dimensions.

  1 2/6 inches = 8/6 inches = 8×(1/6 inch)

  5/6 inch = 5×(1/6 inch)

  6 inches = 36/6 inches = 36×(1/6 inch)

So, the volume of the prism in terms of small cubes is ...

  8×5×36 = 1,440 . . . small cubes

Answer:

1539 ft^3

Step-by-step explanation:

3.5×3.5=12.25

12.25×3.14=38.465

38.465×40=1,538.6

1538.6 rounded to the nearest whole number is 1539.

Answer:

i think its 1/16

Step-by-step explanation:

Answer:

x^15

Step-by-step explanation:

Recall these rules of exponents:

(a^m)^n = a^mn

a^m • a^n = a^(m + n)

(x^6)² • x³ = x^(2 • 6) • x³ = x^12 • x³ = x^(12 + 3) = x^15

First, let's calculate the z-score for the value 2.025 liters using the formula:

z = (x - μ) / σ

Where:

x = the value we want to calculate the probability for (2.025 liters)

μ = the mean of the process (2.050 liters)

σ = the standard deviation of the process (0.020 liters)

Plugging in the values:

z = (2.025 - 2.050) / 0.020

Simplifying:

z= -0.025 / 0.020

z = -1.25

Now, we can look up the probability corresponding to a z-score of -1.25 in the standard normal distribution table or use a calculator.

Using a standard normal distribution table, the probability is approximately 0.1056. This means that the probability of randomly selecting an output from the process that is less than 2.025 liters is approximately 0.1056 or 10.56%.

Alternatively, you can use a calculator or statistical software to find the probability directly by looking up the cumulative distribution function (CDF) of the standard normal distribution at -1.25. The result will also be approximately 0.1056 or 10.56%.

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The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.

As evident in the task content; ∠S and ∠Y are complementary.

Therefore; m∠S + m∠Y = 90°.

Also, since; m∠S = 3(m∠Y) − 70°.

By substitution;

3(m∠Y) − 70° + m∠Y = 90°

4m∠Y = 160°

m∠Y = 40°.

Ultimately, the measure of angle Y as required is; m∠Y = 40°.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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The interquartile range (IQR) of the data is 2, meaning that the middle 50% of the data falls within a range of 2 units.

To find the interquartile range, we first need to find the median of the data set. The median is the middle value when the data is arranged in numerical order. In this case, there are 16 data points, so the median is the average of the two middle values, which are 6 and 6. Therefore, the median is 6.

Next, we need to find the first and third quartiles of the data set. The first quartile (Q1) is the value below which 25% of the data falls, and the third quartile (Q3) is the value below which 75% of the data falls. To find these values, we first need to arrange the data in numerical order:

{3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9}

To find Q1, we take the median of the lower half of the data set, which is {3, 4, 5, 5, 5, 6, 6, 6}, giving us a value of 5. To find Q3, we take the median of the upper half of the data set, which is {7, 7, 8, 8, 8, 8, 9, 9}, giving us a value of 8.

Finally, we can find the interquartile range (IQR) by subtracting Q1 from Q3. In this case, IQR = 8 - 5 = 3. However, the question asks for the answer to the nearest unit, so we round to the nearest whole number and report the IQR as 2. This means that the middle 50% of the data falls within a range of 2 units, from 5 to 7.

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Answer:

the answer to the question is C) 8