Mark is making payments on a new game system. He needs to make 10 equal payments of $32.59 each. What is the total cost of the game system?

The graph that best describes the equations y = x + 1  y = −x − 1 is: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at negative 1. The lies intersect at negative 1 and 0.

A graph is a pictorial representation of data used in several disciplines. Graphs makes it easier to understand how a particular data relates with the other.

There many types of graphs, the type used here is the that of a straight line. The graph would have to cut through based on the signs that it has in the equation. That is if it is negative or positive.

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Answer:

Option D) $1,585.35

Step-by-step explanation:

This given problem involves annuities, which are sequence of equal periodic payments. Use the following amortization formula:

\(PMT = PV[\frac{i}{1- (1 + i)^{-n} }]\)

where:

PMT = value of the monthly payments

PV = Present value of the mortgage (less 10% down of $28,000) = $252,000

i = interest rate = 5.75% ÷ 12 months = 0.004791667

n = number of compounding periods = 12 months × 25 years = 300

Substitute these values into the given formula:

\(PMT = PV[\frac{i}{1- (1 + i)^{-n} }]\)

\(PMT = 252,000[\frac{0.004791667}{1 - (1 + 0.004791667)^{-300} }]\)

PMT =  $252,000(0.00629106)

PMT = $1,585.35

Therefore, the monthly payment is $1,585.35.

**Quick note: for these types of problems, make sure you don't round up your decimal places until the very last step of your solution, because if you prematurely round-up your decimal values for i, you'll end up with a much different solution. Imagine that in this given problem, your solving for 25 years' worth of payments, so those differences add up.

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Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15

Answer:

15

Step-by-step explanation:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,

Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3

#1. 2x-3y=-1 and y=x-1

#2. y=6x-11 and -2x-3y=-7

#3. y=-3x+5 and 5x-4y=-3

Answer:

Step-by-step explanation:

divide length by 100

The circumference of the drain to the nearest tenth is 15.10 inches.

The circumference of the drain is the distance round the drain. Since the drain has the shape of a circle, the formula used to determine the circumference of a circle would be used to determine the circumference of the drain.

Circumference of the drain = πd

3.14 x 4.8 =15.10 inches

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Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

LCD = 36

Equivalent Fractions with the LCD

7/12 = 21/36

8/9 = 32/36

Solution:

Rewriting input as fractions if necessary:

7/12, 8/9

For the denominators (12, 9) the least common multiple (LCM) is 36.

LCM(12, 9)

Therefore, the least common denominator (LCD) is 36.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/12 = 7/12 × 3/3 = 21/36

8/9 = 8/9 × 4/4 = 32/36

Answer:

36

Step-by-step explanation:

The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

x ≤-4 or x> 2

Step-by-step explanation:

x+1 ≤-3 or-4x<-8

First solve the inequality on the left

x+1 ≤-3

Subtract 1 from each side

x+1-1 ≤-3-1

x ≤-4

Then solve the inequality on the right

-4x<-8

Divide each side by -4, remembering to flip the inequality

-4x/4 > -8/-4

x > 2

Put them back together

x ≤-4 or x> 2

Closed circle at -4 and line going to the left and open circle at 2 and line going to the right

Answer: C

Step-by-step explanation:

because the slope is  -4 over 1 (which means down 4 from the origin than to the right 1) then if you check the graph it'll show that starting from 7 it will pass (-5,3)

Answer:

The triple constraint represents the three constraints or inputs which control the project's capacity to produce.

The three components are Budget, time, and scope.

The relationship between them is an interdependent or triangular shape.

Step-by-step explanation:

The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.

These 3 components are dependent to each other.

For example, if time is restricted then scope and budget will be affected. similarly.

The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.

Answer:

initial value         opposite value             absolute value

15                                -15                                   |15|

-93                                93                                 |93|

56                                 -56                                 |56|

-87                                87                                   |87|

Step-by-step explanation:

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

An equation is formed when two equal expressions are equated together. The value of x in the equation [√(x+7)]-11=2 is 162.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for x in the equation [√(x+7)]-11=2 can be solved as,

\(\sqrt{x+7}-11=2\\\)

Using the addition property of equality,

\(\sqrt{x+7} -11+11= 2+11\\\\\\\sqrt{x+7} = 13\)

Squaring both the sides of the equation,

x + 7 = 169

Using the subtraction property of equality,

x + 7 - 7 = 169 - 7

x = 162

Hence, the value of x in the equation [√(x+7)]-11=2 is 162.

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Answer: To find the percent increase in pay, you can use the following formula:

percent increase = ((new pay - old pay)/old pay) * 100

Plugging in the values given in the question, you get:

percent increase = ((11.75 - 10.50)/10.50) * 100

= (1.25/10.50) * 100

= 0.119047619 * 100

= 11.9047619%

Therefore, the percent increase in pay is approximately 11.9%.

Step-by-step explanation:

The measure of the sector that represents the probability of the medicine curing one person is 216°. So correct option is A.

In geometry, a sector is a region of a circle enclosed by two radii and an arc. The two radii form an angle, called the central angle, which defines the boundary of the sector.

The area of a sector can be calculated using the following formula:

Area of sector = (central angle / 360) * π * r²

where:

central angle is the angle formed by the two radii

r is the radius of the circle

π is the mathematical constant pi, which is approximately 3.14159

The perimeter of a sector is the sum of the length of the arc and the length of the two radii. The length of the arc can be calculated using the formula:

Length of arc = (central angle / 360) * 2 * π * r

Sectors are often used in real-world applications, such as calculating the area of a pizza slice or the distance traveled by a car in a circular racetrack. They are also used in trigonometry to calculate angles and side lengths of triangles formed by intersecting chords and tangents in circles.

The probability of the medicine curing one person is given by P(curing) = 3/5. Since the spinner is a circle of 360°, the measure of the sector that represents the probability of the medicine curing one person is:

360° × P(curing) = 360° × 3/5 = 216°

Therefore, the answer is A) 216 degrees.

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Answer:

some ppl got summer school

Step-by-step explanation:

Any sequence of five spins that consists only of numbers 1 and 2 would be an outcome of Event A.

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

Event A = the spinner lands on numbers all less than 3

An outcome of Event A would be a sequence of five spins on the spinner that result in numbers all less than 3,

For example: 1, 2, 1, 2, 1.

See that each number in the above sequence is less than 3

Hence, the event A represents outcomes less than 3

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

the answer is 18 months==1 year 6 months

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Kurt Blixen must invest $85,2296.94.

Given the following data;

To find how much money Kurt Blixen must invest;

Mathematically, simple interest is given by the formula;

\(S.I = \frac{PRT}{100}\)

Where:

First of all, we would convert the time in days to years.

Conversion:

365 days = 1 year

90 days = x year

Cross-multiplying, we have;

\(365 * x = 90\\\\x = \frac{90}{365}\)

x = 0.247 year

Making P the subject of formula;

\(P = \frac{S.I(100)}{RT}\)

Substituting the values into the formula, we have;

\(P = \frac{10000(100)}{4.75*0.247}\\\\P = \frac{1000000}{1.1733}\)

P = $85,2296.94

Therefore, Kurt Blixen must invest $85,2296.94.

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Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

\(6x+y=-1\\y=-6x-1\)

second equation:

\(-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1\)

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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