7. Which statement is NOT part of a debt-reduction plan? a. Lower debts with the highest interest rates. b. Slow or eliminate credit card spending c. Only pay the minimum amount when possible. d. Use an online debt management calculator.​

Answer:

1. x = 7

Step-by-step explanation:

12x + 16 = 100

12x = 84

x = 7

Answer:

1. x = 7

2. Simon and Iris earned $212 selling candy.

Step-by-step explanation:

1. 12(7) + 16 = 100

  84 + 16 = 100

  100 = 100

  Therefore, x = 7.

2. If they split the price by 2, then we need to multiply $100 by 2.

100 x 2 = $200

   $200 + $12 = $212

 Therefore, Simon and Iris earned $212 selling candy.

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer: 30

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

30 is the correct answer

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

83/90

Step-by-step explanation:

you need to multiply the variable by 10. x =

0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90

The decimal 0.92¯¯¯ is equal to the fraction 92/99.

So, the correct answer is 92/99.

Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,

To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:

Let's represent 0.92¯¯¯ as x.

Step 1: Multiply x by 100 to remove the repeating decimal:

100x = 92.92¯¯¯

Step 2: Subtract x from 100x to eliminate the repeating decimal:

100x - x = 92.92¯¯¯ - 0.92¯¯¯

99x = 92

Step 3: Divide both sides of the equation by 99 to solve for x:

x = 92/99

Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.

So, the correct answer is 92/99.

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Answer:

Just remember to divide the diameter by two to get the radius.

Step-by-step explanation:

So, no?

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The conclusion of the proportion is if a and bare not coprime, when it share a factor greater than 1

Here we have given that if and are not coprime that is share a factor greater than.

And we need to find the examples that contradict the conclusions of proposition.
While we looking into the given question, we have identified that  if and  are not coprime.

In order to find the conclusion to this one, we must know the definition of co prime.

The term co prime is referred as those umbers that do not have any common factor other than 1.

As per the definition, we have clearly know that if the two number has the factor greater than one then it will not a co prime to each other.

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\(\begin{cases} u=6i-2j\\\\ v=-3i+7j \end{cases}\qquad \begin{cases} < 6~~,~~-2 > \\\\ < -3~~,~~7 > \end{cases} \\\\[-0.35em] ~\dotfill\\\\ u-v\implies < 6~~,~~-2 > ~~ - ~~ < -3~~,~~7 > \\\\\\ < 6-(-3)~~,~~-2-7 > \implies < 6+3,-9 > \implies < 9,-9 > \implies 9i-9j\)

Considering the definition of a line and the y-intercept, the y-intercept of the line that represented by the equation: 2x +3y= 18 is (x;y)= (0; 6).

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin.

The ordinate to the origin is the point where a line crosses the y-axis.

To find the y-intercept of a function, you simply do x = 0 and replace in the equation of the line. Then you solve the equation you obtained.

If x=o, you replace this value in the equation 2x +3y= 18:

2×0 + 3y= 18

Solving:

3y= 18

y= 18÷3

y= 6

Finally, the y-intercept is (x;y)= (0; 6).

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The appropriate percentage of the cities in NYC will be:

Bronx = 16.88%

Brooklyn = 30.72%

Manhattan = 19.43%

Queens = 27.26%

Staten Island = 5.71%

NYC has a total population of 8,244,910 people.

Bronx has a population of 1,392,002, the percent of the total NYC population will be:

= 1,392,002 / 8,244,910 × 100

= 16.88%

Broklyn has a population of 2,532,645, its percent of the total NYC population will be:

= 2532645 / 8244910 × 100

= 30.72%

Manhattan has a population of 1,601,948, its percent of the total NYC population will be:

= 1601948 / 8244910 × 100

= 19.43%

Queens has a population of 2,247,848, its percent of the total NYC population will be:

= 2,247,848 / 8244910 × 100

= 27.26%

Staten Island has a population of 470,467, its percent of the total NYC population will be:

= 470467 / 8244910 × 100

= 5.71%

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Answer: yes

Step-by-step explanation:

if u substitute 7 into the x for 4x - 28 then it would be the same as 4(7), because any variable next to a number means multiplication.

hope this was an easier way for u to understand

Answer:

Yes, 7 is still a solution.

Step-by-step explanation:

Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.

Answer:

8 (read below)

Step-by-step explanation:

There is 8 if you re counting the bottom, light turqoise one. If not, then 7.

Answer:

17 or 18

Step-by-step explanation:

The volume of the cylinder is 150.72 cm³ ⇒ last answer

The volume of the cone is 314 cm³ ⇒ 1st answer

The volume of the pyramid is 160 cm³ ⇒ 2nd answer

The volume of the pyramid is 48 cm³ ⇒ 3rd answer

Step-by-step explanation:

* Let's revise the volumes of some shapes

- The volume of the cylinder of radius r and height h is:

V = π r² h

- The volume of the cone of radius r and height h is:

V = 1/3 π r² h

- The volume of the pyramid is:

V = 1/3 × its base area × its height

* Lets solve the problem

# A cylinder with radius 4 cm and height 3 cm

∵ V = π r² h

∵ π = 3.14

∵ r = 4 cm , h = 3 cm

∴ v = 3.14 (4)² (3) = 150.72 cm³

* The volume of the cylinder is 150.72 cm³

# A cone with radius 5 cm and height 12 cm

∵ V = 1/3 π r² h

∵ π = 3.14

∵ r = 5 cm , h = 12 cm

∴ V = 1/3 (3.14) (5)² (12) = 314 cm³

* The volume of the cone is 314 cm³

# A pyramid with base area 16 cm² and height 30 cm

∵  V = 1/3 × its base area × its height

∵ The area of the base is 16 cm²

∵ The height = 30 cm

∴ V = 1/3 (16) (30) = 160 cm³

* The volume of the pyramid is 160 cm³

# A pyramid with square base of length 3 cm and height 16 cm

∵  V = 1/3 × its base area × its height

∵ The area of the square = s²

∵ The area of the base = 3² = 9 cm²

∵ The height = 16 cm

∴ V = 1/3 (9) (16) = 48 cm³

* The volume of the pyramid is 48 cm³.

Answer:

0.64

Step-by-step explanation:

here is the explanation

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Using Law of Sines

The Law of Sines states that there is a proportional relationship between the angles and sides of an oblique triangle.

We see that we have two angles that we need to solve, and can label our triangle as such:

The angles are capital A, B, and C, whereas our sides are lowercase a, b, and c.

We need to find the angles first, and we can do so with our knowledge of one angle and the side directly across from it. We know both capital C and lowercase c, so let's create a proportion.

When we create a proportion, we cross-multiply our values.

We need to get B by itself since that is what we are solving for.

Now, we use the inverse of sin, plug in the value, and solve for sin(B). You'll need a calculator for this part.

This gives us the value for angle B, or angle y in the given diagram.

Now, we can simply add our two solved angles together and subtract them from 180 to find our third angle.

This means that our angle x is 60 degrees.

Finally, we need to set up one last proportion to find a, or the side adjacent to the right angle and vertical.

Once again, we cross multiply:

Then, we need to get a by itself.

Then, we divide the two values and solve for a. Use a calculator and plug it in to solve.

Therefore, side a equals 4.

Our triangle will look like this:

Therefore, this is the final answer.

The angles are:

90 degrees

x = 30 degrees

y = 60 degrees

The sides are:

8 units

4 units

Unknown side = 4 units

The value of all three angles, A , B and C is 60°

All sides , a,b, and c are 7.5 inches

From Cosine Rule :

CosA = (b² + c² - a²)/(2bc)

CosA = (7.5² + 7.5² - 7.5²)/(2 × 7.5 × 7.5)

CosA = 56.25/112.5

CosA = 0.5

A =

\( {cos}^{ - 1} (0.5) = 60\)

From Sine Rule a/sinA = b/sinB

7.5/Sin60° = 7.5/SinB

cross multiply

7.5SinB = 7.5(Sin60°)

sinB= 6.495/7.5

SinB = 0.866

B =

\( {sin}^{ - 1} (0.866) = 60\)

A + B + C = 180

60 + 60 + C = 180

C = 180 - 120

C = 60°

Therefore , all three angles A,B and C are 60° each.

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Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:

r (x) ={24.99

        { 24.99 + 10 (x - 2)     x < 2

                                            x > 2

Step-by-step explanation:

Not sure if this is what you asked for but this is the best I got sorry.

The function which models the cost will be;

⇒ r (x) = $24.99 + 50 × $10

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Blinko charges $24.99 to print 100 top-quality single-page resumes.

And, Each additional 50 copies cost $10.

Now,

Let the total cost =  r(x)

Here, Blinko charges $24.99 to print 100 top-quality single-page resumes.

And, Each additional 50 copies cost $10.

So, We can formulate;

⇒ r (x) = $24.99 + 50 × $10

⇒ r (x) = $24.99 + $500

⇒ r (x) = $529.44

Thus, The function which models the cost will be;

⇒ r (x) = $24.99 + 50 × $10

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Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

\(P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })\)

\(= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})\)

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

Answer:

the answer is: B i hope that will help

Step-by-step explanation:

Answer:

its definitely B. Good luck

The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

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The amount due at maturity on Andres Michael's loan of interest rate of 3.75% is $20,431.75

What is effective monthly loan interest rate?

The loan effective monthly interest rate can be determined as the annual interest rate of 3.75% divided by 12 since there are 12 months in a year

effective monthly interest rate=3.75%/12

effective monthly interest rate=0.003125

loan balance after 4 months=$24,440*(1+0.003125)^4- $4,410

loan balance after 4 months=$20,336.94

loan balance after 12 months=$20,336.94*(1+0.003125)^8-$2,590

loan balance after 12 months=$18,260.96

balance at the 4 year(after another 36 months)=$18,260.96*(1+0.003125)^36

balance at the 4 year(after another 36 months)=$20,431.75

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