Suppose Marcela tried to buy the same car with the same interest rate. If she put $2,000 down payment, but opted for 6 years to own it, who made the better financial deal Fatima or Marcela?

Answer:

I cannot see anything.

Answer:

Step-by-step explanation:

1) \(\frac{1}{3}-(\frac{1}{3}*\frac{1}{3}) + (\frac{1}{3}\) ÷\(\frac{1}{3}) =\) \(\frac{1}{3}-\frac{1}{9} +(\frac{1}{3}*\frac{3}{1})\)

                                  \(=\frac{1}{3}-\frac{1}{9}+1\\\\=\frac{1*3}{3*3}-\frac{1}{9}+\frac{1*9}{1*9}\\\\=\frac{3}{9}-\frac{1}{9}+\frac{9}{9}\\\\=\frac{3-1+9}{9}\\\\=\frac{11}{9}\\\\=1\frac{2}{9}\\\)

2)

 \((3\frac{3}{4}-2\frac{2}{3})*1\frac{1}{2}=(\frac{15}{4}-\frac{8}{3})*\frac{3}{2}\\\\=(\frac{15*3}{4*3}-\frac{8*4}{3*4})*\frac{3}{2}\\\\=(\frac{45}{12}-\frac{24}{12})*\frac{3}{2}\\\\=(\frac{45-24}{12})*\frac{3}{2}\\\\=\frac{21}{12}*\frac{3}{2}\\\\=\frac{21}{4}*\frac{1}{2}\\\\=\frac{21}{8}\\\\=2\frac{5}{8}\)

3) When finding equivalent fractions both numerator and denominator should be multiplied with the same number. But  Lethna didn't multiply with the numerator.

\(\frac{2}{5}+\frac{1}{2}=\frac{2*2}{5*2}+\frac{1*5}{2*5}\\\\=\frac{4}{10}+\frac{5}{10}\\\\=\frac{9}{10}\)

4) In fraction multiplication convert mixed fraction to improper fraction and reduce to smallest term

\(1\frac{1}{2}*5\frac{1}{3}=\frac{3}{2}*\frac{16}{3}\\\\=8\)

5)

\(8\frac{2}{3}*5\frac{4}{9}=\frac{26}{3}*\frac{49}{9}\\\\=\frac{1274}{27}\\\\= 47\frac{5}{27}\\\\\)

6) Use Keep Change Flip (KCF) method for fraction division

\(4\frac{2}{5}\) ÷ \(6\frac{5}{8}\) = \(\frac{22}{5}\) ÷ \(\frac{53}{8}\)

          \(= \frac{22}{5}*\frac{8}{53}\\\\=\frac{176}{265}\)

There are 14 pounds in one stone.

The weight measurement system used in the United States and some other countries primarily uses pounds (lb) to measure weight. However, in other countries, such as the United Kingdom, the stone (st) unit is commonly used.

One stone is equal to 14 pounds. This means that if you have an weight in stone, you can convert it to pounds by multiplying the weight in stone by 14. For example, if someone weighs 8 stone, they would weigh 8 x 14 = 112 pounds.

Conversely, if you have a weight in pounds, you can convert it to stone by dividing the weight in pounds by 14. For example, if someone weighs 112 pounds, they would weigh 112 / 14 = 8 stone.

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A homogeneous system in parametric vector form:

(x1,x2,x3) = (s,s,-0.25s)

Parametric vector Form:

Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.

So the set of parametric equations is x = t and y=t²+5.

According to the Question:

We are to solve them in parametric form.

X₁ + 2X₂ + 12X₃ = 0     ----------------------- (1)

2X₁ + X₂ + 12X₃ = 0     ----------------------- (2)

-X₁ + X₂ = 0                  ----------------------- (3)

From equation 3 we get

x₁ = x₂

Substitute in 1 and 2 to get

3x₁ + 12x₃ = 0 and

3x₁ + 12x₃ = 0

Thus, we find these two equations are dependent.  So we can have infinite solutions in parametric form only.

No unique solution is possible

Let x₁ = x₂ = s

Since 3x₁ +12x₃ = 0

x₁ = -4x₃

Or x₃ = -0.25s

So solution in parametric form is

(x1,x2,x3) = (s,s,-0.25s) for all real values.

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The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.

To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.

Given:

Number of semesters (n) = 5

Total number of assignments per semester (nupper) = 150

Proportion of assignments with errors (p) = 0.24

First, we calculate the proportion of assignments with errors for each semester:

Semester 1: p1 = (150 * 0.24) / 150

= 0.24

Semester 2: p2 = (150 * 0.24) / 150

= 0.24

Semester 3: p3 = (150 * 0.24) / 150

= 0.24

Semester 4: p4 = (150 * 0.24) / 150

= 0.24

Semester 5: p5 = (150 * 0.24) / 150

= 0.24

Next, we calculate the overall proportion of assignments with errors:

p = (p1 + p2 + p3 + p4 + p5) / n

= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5

= 1.2 / 5

= 0.24

Now we can compute the estimate of the standard deviation (Sp):

S = √((n - 1) * (1 - p) / n)

= √((5 - 1) * (1 - 0.24) / 150)

= √(4 * 0.76 / 150)

= √(0.304 / 150)

≈ √0.0020267

≈ 0.044996

Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:

UC = p + (3 * Sp)

LCL = p - (3 * Sp)

UC = 0.24 + (3 * 0.044996)

= 0.24 + 0.134988

≈ 0.374988

LCL = 0.24 - (3 * 0.044996)

= 0.24 - 0.134988

≈ 0.105012

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Answer: the answer is in the screenshot

Step-by-step explanation:

The hypotenuse of each set of legs of a right triangle are:

1. 5 and 6 => √61

2. 4 and 1 => √17

3. 2 and 5 => √29

4. 9 and 12 => 15

In a right triangle, the hypotenuse is the longest side that is opposite to the right angle. The hypotenuse can be determined by finding the square root of the sum of the other two legs.

1. √(5² + 6²) = √61

2. √(4² + 1²) = √17

3. √(2² + 5²) = √29

4. √(9² + 12²) = 15

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

There are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

To find the number of different triples of natural numbers with a sum of 10, we can consider different cases based on the value of the first number in the triple.

Case 1: The first number is 1.

In this case, we need to find the number of ways to represent 10 as a sum of the remaining two numbers. Since we have already considered (1,8,1) and (8,1) as the same triple as (1,1,8), we only need to find the ways to represent 10 using two numbers, excluding 1. The possible pairs are:

(2,8), (3,7), (4,6), (5,5)

Case 2: The first number is 2.

In this case, we need to find the number of ways to represent 8 as a sum of the remaining two numbers. The possible pairs are:

(1,7), (3,5), (4,4)

Case 3: The first number is 3.

In this case, we need to find the number of ways to represent 7 as a sum of the remaining two numbers. The possible pairs are:

(1,6), (2,5), (4,3)

Case 4: The first number is 4.

In this case, we need to find the number of ways to represent 6 as a sum of the remaining two numbers. The possible pairs are:

(1,5), (2,4), (3,3)

Case 5: The first number is 5.

In this case, we need to find the number of ways to represent 5 as a sum of the remaining two numbers. The possible pair is:

(1,4)

Case 6: The first number is 6.

In this case, we need to find the number of ways to represent 4 as a sum of the remaining two numbers. The possible pairs are:

(1,3), (2,2)

Case 7: The first number is 7.

In this case, we need to find the number of ways to represent 3 as a sum of the remaining two numbers. The possible pair is:

(1,2)

Case 8: The first number is 8.

In this case, we need to find the number of ways to represent 2 as a sum of the remaining two numbers. The only possible pair is:

(1,1)

Adding up the counts from each case, we get:

4 + 3 + 3 + 3 + 1 + 2 + 1 + 1 = 18

Therefore, there are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

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Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

Answer:

y = - x - 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the equation of a line in point- slope form is

y - b = m (x - a)

m is the slope and (a, b ) a point on the line

y + 3 = - (x + 2) ← is in point- slope form

with slope m = - 1

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation

to find c substitute (- 10, - 8 ) into the partial equation

- 8 = 10 + c ⇒ c = - 8 - 10 = - 18

y = - x - 18 ← equation of line s

The equation in slope-intercept form is y=-x-18.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, Line r has an equation of y + 3 = -(x + 2).

y+3=-x+2

y=-x+2-3

y=-x-1

Here, slope m=-1

Line s includes the point (-10, -8) and is parallel to line r.

The slope of a line parallel to given line is m1=m2

Substitute m=-1 and (x, y)=(-10, -8) in y=mx+c, we get

-8=-1(-10)+c

c=-18

So, the equation is y=-x-18

Therefore, the equation in slope-intercept form is y=-x-18.

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The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively

To determine K

9x + 2 = 23 + 5x -1

9x -5x = -1 +2

4x = -3Making x the subject we have

x= -3/4

To find the value of L

Let angle L be x

x + 65 = 130

x=130-65

That is x = 65

To find the m<C

4x + 7 = 3x + 15

Collecting like terms

4x - 3x = 15-7

Making x the subject of the relation we have

x=8

To find the m<N

7x + 6x - 1 = 90

13x = 89

x=89/13

x= 6.9

Substitute x = 6.9 in 6x -1

6(6.9) -1

m<L = 40.4

To find the m<O

5x - 11 = 4x +9

5x-4x = 9 +11

x=20

By substitution in 4x +9 we have

4(20) +9

80+9

m<S = 89

To find the value of the angle G

6x - 4 = 5x +4

6x - 5x = 4+4

x = 8

Therefore the m<G is

5x +4

5(8) +4

40+4 = 44 digress

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The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here: The numbers are 1/5³ , 4/7,√5,3/8,0.003

To get a clarity of the magnitude of the numbers lets convert every number into decimal numbers.

Now we know To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

Thus 1/5³=1/125

              =0.008

4/7=0.5714

3/8=0.375

√5=2.2361

and 0.003

Now arranging the numbers from in ascending order we get

0.003,0.008,0.375,0.5714,2.2361

Hence, The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5

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The equation for the line that passes through the points (-6,-9) and (2,3) is y = 3x/2 - 6..

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (-6, -9), a linear equation of this line can be calculated in slope-intercept form as follows:

y + 9 = (3 + 9)/(2 + 6)(x + 6)

y = 12/8(x + 2) - 9

y = 3/2(x + 2) - 9

y = 3x/2 - 6.

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Answer:

Step-by-step explanation:

Answer:

from top to bottom left to right brainliest please

Step-by-step explanation:

1. 30

2. 32

3. 270

4. 175

5. 156.75

6. 504

Answer:

12

Step-by-step explanation:

Given

\(\frac{1}{2}\) x - \(\frac{5}{4}\) + 2x = \(\frac{5}{6}\) + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

\(12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)\)

6x-15+24x=10+12x

The total volume of lemonade held by 24 bottles would be 18,000 mL (750 mL x 24) or 24x 0.75 liters = 18 liters.

And it would be to express the total volume in terms of the volume of one bottle. You can say that 24 bottles of lemonade is equal to 18 times the volume of one bottle, or 18 x 750 mL = 18,000 mL. This can also be written as 24 x 0.75 liters = 18 liters. This can also be expressed as 18 liters, since 1 liter is equal to 1000 mL.

Regardless of how you choose to express the answer, both methods give us the same result: 24 bottles of lemonade hold a total of 18,000 mL or 18 liters of the beverage. This information can be useful in various contexts, such as for planning a party or for ordering supplies for a lemonade stand. It's important to note that while both answers give the same result, they present the information in different ways. The first answer provides the total volume of lemonade held by all 24 bottles, while the second answer provides the number of times the volume of one bottle is contained within the total volume. Both answers provide useful information and the choice of which one to use may depend on the specific context in which the question is being asked.

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The value of RXV = 35.

A set of equation which have common factor that satisfies them are called system of equations.

It is given that

RXS=15

SXT=3

TXV=7

RXV=??

RX = 15/S

S = 3/XT

XT = 7/V

On solving we get

RX = 15 * XT/3

RX =15 *7/3 V

RXV = 35

Therefore the value of RXV = 35.

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E the anwser is c

Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.

As per the given confidence interval, the interval notation is 2.576

Confidence interval:

Is statistics, an estimate of an interval in statistics that may contain a population parameter is known as confidence interval.

Given,

Here we have to calculate a 99% confidence interval for the difference in the proportions of those older than 30 and those 30 or younger that believe alcoholic beverage commercials targeted teenagers and young adults. let the 30 or younger age group be population 1 and let the older than 30 age group be population.

And we need to find the write your answer using interval notation and round the interval endpoints to three decimal places.

While we looking into the given question,

We have identified the following things,

Confidence interval = 99%

When we convert this into decimal, then we get the value as 0.99

Then the z score of the given data is calculated as

=> 2.576

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The required answer is f(x) = x + 4 and f(x) = 2x - 5

The group of answer choices, both f(x) = x + 4 and f(x) = 2x - 5 have well-defined inverses as they are both one-to-one and onto functions.

To select the function that has a well-defined inverse from the group of answer choices, we need to look for the function that satisfies the horizontal line test. The horizontal line test states that a function has a well-defined inverse if no horizontal line intersects the graph of the function more than once.

The company raised a $6 million Series A funding in 2016, led by Crosslink Capital with participation from Bertelsmann Digital Media Investments.
Out of the four answer choices, the only function that satisfies the horizontal line test is f:→f(x)=|x|. Therefore, the function f:→f(x)=|x| has a well-defined inverse.

To select the function that has a well-defined inverse, we need to identify the function that is both one-to-one and onto. Here are the given functions:

1. f(x) = |x|
2. f(x) = x + 4
3. f(x) = ⌈x/2⌉
4. f(x) = 2x - 5

the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by, \(f-1\)
Now let's analyze each function:

1. f(x) = |x| is not one-to-one because f(1) = f(-1) = 1.
2. f(x) = x + 4 is one-to-one and onto, as every input has a unique output and every output can be achieved by a unique input.
3. f(x) = ⌈x/2⌉ is not one-to-one because f(1) = f(2) = 1.
4. f(x) = 2x - 5 is one-to-one and onto, as every input has a unique output and every output can be achieved by a unique input.
the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers.

Among the group of answer choices, both f(x) = x + 4 and f(x) = 2x - 5 have well-defined inverses as they are both one-to-one and onto functions.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

The polynomial 6x² - 2x + 4 + 3x in standard form is: C) 6x² + x + 4 - 2x

What is polynomial ?

In mathematics, a polynomial is a function of the form:

P(x) = anxn + an-1xn-1 + ... + a1x + a0

where x is the variable, the coefficients an, an-1, ..., a1, a0 are constants, and n is a non-negative integer that represents the degree of the polynomial. The degree of the polynomial is the highest power of the variable x in the polynomial.

According to the question:
To arrange 6x² - 2x + 4 + 3x in standard form, we need to write the polynomial in descending order of degree, meaning the term with the highest power of x comes first, followed by the term with the next highest power of x, and so on. So, we need to combine the like terms and rearrange the polynomial.

6x² - 2x + 4 + 3x = 6x² + (3x - 2x) + 4 (rearranging the terms)

= 6x² + x + 4

So, the polynomial 6x² - 2x + 4 + 3x in standard form is:

C) 6x² + x + 4 - 2x


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Answer:

A: 12:18

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ratios are normally part to part which knocks off answer choices C and D.

Ratios are written with the smaller value on the left and the large value on the right so it can't be B

So it has to be A

Answer:

40162.50

Step-by-step explanation:

The composite function g(h(8)) when evaluated is 94.

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

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

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