Leia invests $2658.00 (P) in a retirement
account with a fixed annual interest rate
of 4% (r) compounded monthly (n=12).
What is Leia's ending balance (A) after 5
years (t=5)?

$587.41

$3245.41

$2053.06

$12,145.52

There are two possible options for points and distances:

In this problem we need to determine the location of point M and distances between points A, M and B. This can be done by means of differences on number line and algebraic equations:

M - A = x² - x

M - (- 14) = x² - x

M + 14 = x² - x

M = x² - x - 14

B - M = 5 · x + 4

35 - M = 5 · x + 4

M = 31 - 5 · x

Then, we eliminate M and find the solutions to the resulting quadratic equation:

x² - x - 14 = 31 - 5 · x

x² + 4 · x - 45 = 0

(x + 9) · (x - 5) = 0

x = - 9 or x = 5

Finally, we determine the possible values for M based on the fact that M is between - 14 and 35:

x = - 9

M = 31 - 5 · x

M = 31 - 5 · (- 9)

M = 31 - 45

M = - 14

AM = - 14 - 14

AM = 0

MB = 35 - (- 14)

MB = 49

x = 5

M = 31 - 5 · x

M = 31 - 5 · 5

M = 31 - 25

M = 6

AM = 6 - (- 14)

AM = 20

MB = 35 - 6

MB = 29

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The angles in the quadrilateral are as follows:

g = 116 degrees

h = 64 degrees

A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.

Therefore, let's find the angles g and h in the quadrilateral. According to the diagram, the quadrilateral has opposite side parallel to each other.

Therefore, the diagram can be regarded as a parallelogram.

Hence, adjacent angles of the diagram are supplementary.

Supplementary angles add up to 180 degrees.

Therefore,

116 + h = 180

h = 180 - 116

h = 64 degrees.

Therefore,

64 + g  = 180

g = 180 - 64

g = 116 degrees.

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The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer; ....-2, -1, 0, 1, 2, .....

Given the expression, 33+x

Now positive integers are whole numbers ( 1,2,3,...)

To 33/x be the whole number and x is also a positive integer.

33/1 = 33 (1,3 Positive integer)

33/3 = 11 (3,11 Positive integer)

33/11 = 3 (11,3 Positive integer)

33/33 = 1 (33,1 Positive integer)

Hence "The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33".

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Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

A possible inequality to represent the amount Payton spent is x >15, and two examples of the possible amount of money Payton spent are $30 and $6.

This is a mathematical expression that represents a situation using symbols such as ≥ (greater or equal to) or < (less than).

A possible inequality is  15 >x or 15 <x, which means the amount of money spent was less than or more than 15.

Some possible values within this range are:

$10

$2

$6

$30

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The required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

The interval of angle is given as 0° ≤ x ≤ 360°.

The value of x for which tan x is given as, tan x = - 0. 6745.

We have tan negative in two of the four axes, they are second (90° - 180°) and fourth quadrants (270° - 360°).

So, tan x = - 0. 6745

x = tan⁻¹ (- 0. 6745) = -33.9

As periodicity of tan x is 180°, x = 180-33.9 = 146.1°

x = 360-33.9 = 326.1°

Thus, the required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

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The solution of the system of equation using elimination method is x = -2, y = -4

The elimination method is a method used to solve systems of linear equations. It involves manipulating the equations in such a way that one of the variables is eliminated, resulting in an equation in one variable that can be easily solved.

-2y = 2 - 3x --- (1)

-5y = 10 - 5x ---(2)

To eliminate y, multiply (1) by -5 and multiply (2) by -2. Then subtract the result. That is:

-5 × (-2y = 2 - 3x)   =>  10y = -10 + 15x

-2 ×(-5y = 10 - 5x)    => 10y = -20 + 10x

.......................................................................

                                      0 = 10 +5x

.........................................................................

0 = 10 +5x

5x = -10

x = -10/5

x = -2

put x = -2 in (1):

-2y = 2 - 3x

-2y = 2 -3(-2)

-2y = 2 + 6

-2y = 8

y = -8/2

y = -4

Thus, x = -2, y = -4

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Answer:

greetings

27p+6r, is an expression which is equivalent to 3 (9p+2r).

Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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The given statement using variables, quantifiers and symbols only ∀x ∈ p, ∃y ∈ p, t(x,y).

Predicate variables are quantified using quantifiers. It contains a formula, a type of statement whose veracity depends on the values of various parameters.

A predicate turns into a proposition when we give it a definite value. Another way to put it is that the predicate will turn into a proposition if it is quantified.

Therefore, the phrase "quantify" refers to quantifiers like "all" or "some."

The two basic categories of quantifiers are existential and universal quantifiers.

Additionally, it demonstrates whether the predicate is true or false for all conceivable values or for specific value(s) inside the realm of discourse.

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Only variables, quantifiers, and symbols are used in the following statement: ∀x ∈ p, ∃y ∈ p, t(x,y).

Only variables, quantifiers, and symbols are used in the supplied statement.

Quantifiers are used to quantify predicate variables. It includes a formula, which is a sort of assertion whose truth is determined by the values of several factors.

When we assign a definite value to a predicate, it becomes a proposition. Another way to say it is that if the predicate is quantified, it becomes a proposition.

As a result, the term "quantify" refers to quantifiers such as "all" or "some."

Existential and universal quantifiers are the two primary types of quantifiers.

It also shows whether the predicate is true or false for all possible values or for specified value(s) inside the scope of discourse.

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I think this is it if not I'm sorry

78264 in

The graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=|x+4|.

Graph the absolute value using the vertex and a few selected points.

Plot the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2)

Therefore, the graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

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Answer: -3 AND 7

Step-by-step explanation: very important to include the and, as it that point could be to the right or left of (3,1)

In step 2. the addition property of equality was applied.

In step 2. the subtraction property of equality was applied.

We have solved the equation x/4 + 5 = 23.

In step second we subtract 5 on both side, this is the property of equality of addition.

In step 3 the expression is x/4 = 23

In step 4 we multiply 4 on both side, again using the property of equality of subtraction.

Now the value of x is 72.

Hence, using the property of equality in step 2 and 4 we solve the equation.

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The complete question is given below:

Answer: $250

Step-by-step explanation:

If Jake still owes $185 and only just paid back $65, you need to add 185 and 65 together to get the total amount that he borrowed.

Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Define slope -intercept form?

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Answer:

10/32

Step-by-step explanation:

10+8+14 = all dishes = 32

10 = how many plates

In a ratio: 10/32

Andrew intends to make a second batch of Sauce 1 and Sauce II with 3,180 green peppers and 5,560 hot chili peppers.

You've tried poblanos and like the heat they provide to homemade salsa, but you're ready to branch out. The good news is that there are more than 4,000 different varieties of chili peppers in the world, and more are constantly being created.

Andrew prepares hot salts. his first batch will have 4 chili peppers and 6 green peppers, while his second batch will contain 3 green peppers and 10 chili peppers. We therefore need to know how many of each he requires.

To give you an idea of how many peppers to use per bottle of hot sauce, we suggest using at least two really hot peppers per bottle for a sauce with a lot of heat. In addition, habaneros can be made with 4-6 peppers.

Therefore, 975 green peppers and 1,250 hot peppers are purchased by Andrew. He uses all of those peppers to make both types of sauce.

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The solution is Option A.

The inequalities have one common solution

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equations be represented as A and B

The value of A is

( 1/2 )x + 8 ≤ 10   be equation (1)

-3x - 24 ≤ - 36   be equation (2)

On simplifying the equation (1) , we get

Subtracting 8 on both sides of the equation , we get

( 1/2 )x ≤ 2

Multiply by 2 on both sides of the equation , we get

x ≤ 4

And , on simplifying the equation (2) , we get

Adding 24 on both sides of the equation , we get

-3x ≤ -12

Multiply by -1 on both sides of the equation , we get

3x ≥ 12

Divide by 3 on both sides of the equation , we get

x ≥ 4

So , the common solution to the inequalities is x = 4

Hence , the inequalities have solution at x = 4

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The factorization of -25-15mn is -5(5+3mn)

Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.

For example 5( 3x+ 2y+ 4z) can be expanded into 15x + 10y + 20z and moreover 15x + 10y + 20z can be transformed by finding the factors between each terms, here the factor is 5; 5( 3x + 2y +4z)

Similarly to factorize -25-15mn we find the factor that is common to -25 and - 15 . The common factor is -5.

therefore factorizing -25-15mn we bring -5 out of -25 and -5

= -5( 5+3mn)

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The area of figure composing a parallelogram and two semicircles is 399.06 units².

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

The base of the parallelogram is = 18 units

The height of the parallelogram is = 11 units

The area of a parallelogram is given as -

Area = Base × Height

Area = 18 × 11

Area = 198 units²

The diameter of the semicircle is = 16 units

The radius of semicircle is = 8 units

The area of the semicircle is given as -

Area = (1/2)πr²

Area = (1/2)π(8)²

Area = (1/2)π × 64

Area = 32π units²

The total area of the figure is given as -

Total Area = Area of Parallelogram + 2 (Area of semi-circle)

Total Area = 198 + 2(32)π

Total Area = 198 + 64π

Total Area = 198 + 201.06

Total Area = 399.06 units²

Therefore, the area of the figure is 399.06 units².

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The coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

The original coordinates of A are given as follows:

A(-3,-9).

The rule for a reflection over the y-axis is given as follows:

(x,y) -> (-x,y).

Meaning that the x-coordinate has the signal exchanged while the y-coordinate remain constant, hence the coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

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Answer:

3/2

Step-by-step explanation:

slope is rise over run:

3/2

Percent of the total amount a per the given list price, documentation fee , registration fee and other payment paid by Charles is given by :

Option c. 16.70%

Cost of his old 2004 Dodge Neon = $6591

Sales tax = 6.88%

Dealer gives 80% trade in price on hos car

After tax selling price of the car

= 6,591 × (80/100) × [ 1 - (6.88/100) ]

= $4910.03

= $4,910

Vehicle registration amount = $1,089

List price of car = $21,450

Documentation fee = $124

Total cost of the car

= $21,450 + $1,089 + $124

= $22,663

Net amount Charles needs to pay

= $22,663 - $4,910

= $17,753

Monthly payment at the rate of 12.28% compounded monthly for 3 years

= 17753 [ 12.28%( 1+ 12.28%)^3 / [( 1+ 12.28%)^3 -1 ]

= $592

Total amount paid by Charles

= $592 × 36

= $21,312

Total interest paid by Charles

= $21,312 - $17,753

= $3,559

Percent of the total amount

= ( $3,559 / $21,312 ) × 100

= 16.699%

= 16.70%

Therefore, the percent of the total amount paid by Charles is equal to Option c. 16.70%.

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Answer:

b = 13

Step-by-step explanation:

21 = b + 8   Subtract 8 from both sides

21 - 8 = b + 8 - 8

13 = b

Answer: 13

Step-by-step explanation:

He bought two books for $21, and one of the books was $8. With this, we know that if we subtract 8 from 21, we can get "b", or the cost of the other book

21 = b + 8

-8        -8

13 = b

b = 13

Therefore, b = 13, or $13 for the other obok

The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. This can be done by cutting the pancake into 4 pieces, then the 4 pieces into 4, and the resulting 16 pieces into 2.

The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. To do this, start by making one straight cut to divide the pancake into two equal pieces. Then make two more cuts, spaced evenly around the circumference, to divide the pancake into 4 equal pieces. Next, make two more cuts, spaced evenly around the circumference, to divide the 4 pieces into 4 even smaller pieces. Finally, make one last cut, spaced evenly around the circumference, to divide the 16 pieces into 2 equal pieces, giving you a total of 16 pieces. With this method, you can divide a flat pancake into 16 pieces with just 5 straight cuts.

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The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The function is,

⇒ f (x) = x

Here, The graph of the parent function of f (x) = x is shown in figure.

Hence, We get;

The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

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Answer:

I think 5

Step-by-step explanation:

Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

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Answer: In a right triangle, the length of the hypotenuse is the square root of the sum of the squares of the other two legs. So, using the Pythagorean theorem, the other leg would be the square root of (21^2 - 15^2) = (441 - 225) = 216 = 14.69 inches.

Step-by-step explanation: