Stanley bought a car for $14,900, and he will make monthly payments with
special APR financing of 2.4%, compounded monthly, for 36 months. The usual APR
is 7.2%, compounded monthly. Use this information to answer the following three
questions.
1.
What will Stanley's monthly
payment be?
2.
What would Stanley's monthly
payment have been if he hadn't
received the special APR
financing?
3. Approximately how much money did Stanley save by receiving the special APR financing?

The total change in the stock market from the beginning of the day to the end of the day is 30 1/4 points.

When k = -1/2, the equation has real and equal roots of x = 2.

An equation is a mathematical statement that two expressions are equal. It consists of two expressions, one on each side of an equal sign. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other sciences. They can also be used to define relationships between different variables or constants. Equations are an important tool for understanding the world around us.
The value of k in the given equation is -1/2. This is because when k is equal to -1/2, the equation has real and equal roots of x = 2. This can be verified by substituting k = -1/2 and x = 2 into the given equation:

KX² + 5x + 4 = 0
(-1/2) (2²) + 5(2) + 4 = 0
(-1) + 10 + 4 = 0
9 = 0

Therefore, when k = -1/2, the equation has real and equal roots of x = 2.

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Answer:

[tex] \mathsf{P = 45,230 {(1 + 0.02)}^{t} }[/tex]

Step-by-step explanation:

Since P is growing every year at the rate of 2%.

It's an case similar finding of compounds interest.

that why we are using the formula of compounds interest in this situation.

Para calcular el área de un rectángulo multiplicamos el largo por el ancho.

The area is the space inside a two-dimensional figure. We can also consider the area as the amount of space that surrounds the figure. Reaction of the Right Angle: Long and Sharp

Area = largo anchostart text, A, with, ', on top, r, e, a, end text, equals, start text, l, a, r, g, o, end text, times, start text, a, n, c, h, o, end text =62Area = largo anchostart text, empty space, equals, 6, times, 2=12 cuadradas

Area equals 12 square units

start text, space, u, n, I d, a, d, e, s, space, c, u, a, d, r, a, d, a, s, end text, empty space, equals,

Example 2: "Area=largo"anchostart text, "A," "with," "on top," "equals," "l," "a," "r," "g," "o," "end text," "times," and "l".

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Answer:

See the attached histogram.

Step-by-step explanation:

Answer:

15/16

Step-by-step explanation:

3/8 = 6/16

6/16+3/16=9/16

9/16+3/16=12/16

12/16+3/16=15/16

Answer:

D

Step-by-step explanation:

The volume of the right circular cylinder of height 6 inches and base radius 3 inches is about 169.6 cubic inches.

A right circular cylinder is a solid that has two parallel circular plane surfaces at the top and bottom part of the cylinder, and a curved closed surface perpendicular to and joining the top and bottom circular surfaces

The volume of a right circular cylinder can be found using the formula;

V = π·r²·h

Where;

r = The radius of the cylinder

h = The height of the cylinder

π = 3.14

The dimensions of the cylinder are 6 inches and 3 inches

Whereby the height of the cylinder, h = 6 inches, and the radius of the cylinder, r = 3 inches, we get;

Volume of the right circular cylinder, V = 3.14 × 3² × 6 ≈ 169.6

The volume of the right circular cylinder, V = 169.6 in³

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A linear equation for the total monthly cost of long-distance calls, C, for t minutes is C = 50 + 0.1t.

A linear equation is an algebraic or mathematical equation.

Linear equations are written in the form of  y=mx+b.

In this linear equation, y equals the value of the equation, m is the slope (unit rate), x represents the variable (a first-order term), and b is the y-intercept (fixed rate), which is always a constant.

The fixed cost monthly for long-distance phone calls = $50

The charge per minute = $0.10

Let the minutes of long-distance calls = t

Let the total monthly cost = C

C = 50 + 0.1t

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The table represents an exponential function. This is seen as the Y values are multiplied by three for every one X value. A linear function would be adding or subtracting, instead.

1 and 1/6

u have to find the LCM and multiply that by the numerator and then add them together, u would then get 7/6 and that simplified is 1 and 1/6

Answer:

I believe the answer to be increasing by increments of times 3 x3

The probability that the picked card is not 4 is 3/4.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability is calculated by dividing the number of desirable outcomes by the total number of outcomes.

Here, there are 4 cards 2, 3, 4 and 5.

Total number of cards = 4

Number of cards that has 4 = 1

Probability (4) = 1/4

Probability (not 4) = 1 - Probability (4)

Probability (4) = 1 - 1/4 = 3/4

Hence there is a probability of 3/4 where the picked card is not 4.

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The equations for both Khalil's and Ronda's purchase is given below:

The price of one loaf of bread is $3.44

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up the equation:

These are the equations for both Khalil's and Ronda's purchases.

If we solve for x in the equation, the answer would be $3.44

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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and

three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework. Help

a. Write equations for both Khalil's and Ronda's purchases.

b. Solve the system to find the price of one can of soup and the price of one loaf of bread

Transformation of the parent function it represents, linear translation down 3 units.

By modifying the value of x (for example, y(x) = x + 2) or by multiplying x by a constant (for example, y(x) = 3x), you can examine the graphs of linear functions. Do not forget that y(x) = x is the linear parent function. Its most fundamental and straightforward form is this.

The graph of y = f (x - h) is translated h units to the RIGHT of the graph of the parent function if h > 0, and it is translated h units to the LEFT if h 0.

as in f(x) = ( x – 3)

The graph of y=f(x-h) is a translation of |h| units to the LEFT of the graph of the parent function if h 0; otherwise, it is a straight line.

Example: f(x) = (x + 4).

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Using the speed calculation formula, we can conclude that the object travels 18000 feet.

in speed calculation, there's a relation between speed, distance, and time. Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

From the problem we can obtain some information:

speed = 5 feet/second

time = 1 hour

To calculate the distance, we can do as follows:

distance = speed * time

              = 5 feet/second * 1 hour

To finish this operation, we must change the unit of time so that align with the unit of speed.

1 hour = 3600 seconds

Then we go back to the distance calculation:

distance = 5 feet/second * 1 hour

              = 5 feet/second * 3600 seconds

              = 18000 feet

Thus the object travels 18000 feet.

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In most cases the product of a monomial and binomial is a binomial.

A monomial has one term, a binomial has two, a trinomial has three, and a polynomial contains one or more terms.

A monomial is a single-term algebraic expression that can also include several variables and a higher degree.

The algebraic statement with only two terms is known as a binomial expression. It is a polynomial with two terms. It is also known as the sum or difference of two or more monomials. It is the most basic form of a polynomial.

A binomial is always the product of a monomial and a binomial. For instance, multiply 5x by the binomial (5x+4). Then we have. 5x(5x+4)=25x2+20x. (By using distributive law)

A trinomial is the product of two binomials.

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Answer: 450 inches

Step-by-step explanation:

The interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).

What is interval notation?

By using the numbers that bound them, interval notation can be used to express continuous sets of real numbers. Written intervals resemble ordered pairs to some extent. But they don't necessarily signify a certain idea. In contrast, they are intended to serve as a concise manner to express an inequality or set of inequalities.

In order to find the interval notation, we need to solve the inequalities.

So, we are given

⇒7x + 20 < - 15

⇒7x + 20 - 20 < -15 - 20  (Subtracting 20 on both sides)

⇒7x < -35

⇒7x/7 < -35/7                    (Dividing by 7 on both sides)

⇒x < -5

The interval notation is (-∞,-5).

Next we have,

⇒ x + 7 > 0

⇒ x + 7 - 7 > 0 - 7   (Subtracting 7 on both sides)

⇒ x  > -7

The interval notation is (-7,∞).

Hence, the interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).

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Try graphing the function to determine the range if you are unable to solve for x. Vertex of x² - 3 / 2 :  Minimum (0,-3/2) .

f(x)=x^2 -3/ 2

When you solve the equation for x, you get something of the form x=g. Write down y=f(x) after that.

The range of f(x) is determined by the domain of g(y), which you should find.

Try graphing the function to determine the range if you are unable to solve for x.

Domain of x² - 3 /2:

Solution : -∝ < x < ∝

Interval Notation ; ( - ∝ ,∝)

Range of x² - 3 / 2 :

Solution :f(x) ≥ - 3 / 2

Interval Notation : -3/2 ,∝

Axis interception points of x² - 3 /2 :

X intercepts : ( √3,0) , ( - √3,0)

Y intercepts : (0,-3/2)

Vertex of x² - 3 / 2 :

Minimum (0,-3/2) .

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Answer:

759 [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Convert the mixed numbers into fraction ( to make it easier )

Equation:

[tex]\frac{29}{3}[/tex] x [tex]\frac{244}{3}[/tex]    <—- Remember these are mixed number ;)

Now we make it into this..

28 x 244

————-

 3 x 3

Multiply the top : 6832

Multiply the bottom : 9

Make to fraction——-/\

( [tex]\frac{6832}{9}[/tex] )

Simplify the answer to:

759 [tex]\frac{1}{9}[/tex]

This is an incorrect question.

The correct question should be as:

Simplify: [tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

Step-by-step Solution:

[tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

⇒[tex]9^{\frac{1}{3} }[/tex]  is the same as [tex]\sqrt[3]{9}[/tex]

⇒[tex]81^{\frac{1}{3} } \\[/tex]  is the same as [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{9*81}[/tex]

⇒[tex]\sqrt[3]{3*3*9*9}[/tex]

⇒[tex]\sqrt[3]{3*3*3*3*3*3}[/tex]

Pull out groups of 3 from underneath the radical:

⇒[tex]\sqrt[3]{9}[/tex] * [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{729}[/tex]

⇒ 9

Therefore, the correct solution to this question is: 9

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the scale factor will be √5.

What is dilation?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The given figure ABCD dilated to A'B'C'D'

take DC =√ (9-13)² + (4-7)²

DC = √16+9= 5

D'C' = √(4-6)²+(3-4)²

= √5

Hence the scale factor will be √5.

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The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Solvable problems for which no polynomially bounded algorithms exist are called NP-hard problems.

In computer science, the class of problems known as NP (nondeterministic polynomial time) consists of decision problems that can be verified in polynomial time, meaning that the time it takes to verify a solution to the problem grows at most polynomially with the size of the input. NP-hard problems are a subset of NP that are at least as hard as the hardest problems in NP.

An algorithm for an NP-hard problem is considered polynomially bounded if the time it takes to solve the problem grows at most as a polynomial function of the size of the input. This means that for large inputs, the running time of the algorithm does not increase too quickly. NP-hard problems are of particular interest because, although they may not have a polynomial time solution, they can be used to model many real-world problems and can provide insights into the complexity of computational problems.

Examples of NP-hard problems include the traveling salesman problem, the subset sum problem, and the knapsack problem. These problems have been shown to be NP-hard through a process called reduction, in which a problem can be transformed into another problem that is known to be NP-hard. By showing that the original problem can be reduced to an NP-hard problem, it can be concluded that the original problem is also NP-hard.

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The slope of the line given by the equation 3x-y=6 is -3.

The slope of a line can be calculated by using the formula m = (y2 - y1) / (x2 - x1). In this formula, m represents the slope of the line, y represents the y-coordinate of the two points, and x represents the x-coordinate of the two points.

For the equation 3x-y=6, we can substitute the two points (0,6) and (2,0). This means that for the formula, y1 = 6, y2 = 0, x1 = 0, and x2 = 2. Substituting these values into the formula, we get m = (0 - 6) / (2 - 0), which simplifies to m = -6 / 2, or m = -3. Therefore, the slope of the line given by the equation 3x-y=6 is -3.

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The value of x given that m∠ABC=(8x−48)° and m∠ABD=44° is 23°.

From the information, it should be noted that we are informed that m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in a straight line. It's important to note that the value of the angle on a straight line is 180°.

In this case, we are going to add the angles that are given and then equate them to 180°. This will be:

8x - 48 + 44 = 180

8x - 4 = 180

8x = 184

Divide

x = 184 / 8

x = 23°

The value of x is 23°.

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Complete question

If m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in astraight line. Find the value of x.

limit as n approaches infinity = ∞

[tex]\lim_{n \to \infty\}[/tex]6n² - 2n/n² +8

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The equivalent expression for  1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6⁴)⁻7

Given the following statement

1.5 cubed over 1.6raised to the fourth power all raised to the power of negative seven

1.5 cubed over 1.6  is expressed as 1.5³/1.6

If the expression is all raised to the fourth power, hence;

(1.5³/1.6)⁴

If the final expression is raised to the power of negative seven then we have;

((1.5³/1.6)⁴)⁻7

The equivalent expression for  1.5 cubed over 1.6 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6)⁴)⁻7

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