PLEASE HELP
4. By what would you multiply the top equation by to eliminate x?
x + 3y = 9
-4x + y = 3
4
-3
-4

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Amanda can spend 9/48 of her budget on entertainment, which can be simplified to 3/16.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. Expressions can be composed of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, as well as functions and other mathematical constructs.

The fractions of Amanda's budget allocated to each category are:

Venue: 5/24

Invitations: 1/16

Food: 1/4

Decorations: 3/16

The sum of these fractions is:

5/24 + 1/16 + 1/4 + 3/16 = 15/48 + 3/48 + 12/48 + 9/48 = 39/48

This means that Amanda has allocated 39/48 of her budget to these four categories. To find out what fraction of her budget she can spend on entertainment, we need to subtract this fraction from 1 (since the remaining fraction is what she can spend on entertainment):

1 - 39/48 = 9/48

Therefore, Amanda can spend 9/48 of her budget on entertainment, which can be simplified to 3/16.

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ANSWER

y = 3.5x + 56

EXPLANATION

The slope of a line passing through points (x1, y1) and (x2, y2) is,

And the slope-intercept form of the equation of a line is,

Where m is the slope and b is the y-intercept.

In this problem, we have to use points (5, 73) and (7, 80) to find the equation of the line. First, we can find the slope,

For now, the equation is,

We have to find the y-intercept, by replacing x and y for the coordinates of one of the given points,

And solve for b,

The equation is,

The slope as a decimal is 3.5 and the y-intercept, rounded to the nearest whole number is 56, so the equation is y = 3.5x + 56

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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Answer: 15 cm

Step-by-step explanation:

Step 1: Find the area of the parallelogram.

Use the formula for the area of a parallelogram, with BC as the base and DE as the corresponding height.

Area of parallelogram = Base x Height

= BC x DE

= 45 x 13

= 585 \(cm^{2}\)

Step 2: Find the length of DF

Use AB as the base and DF as the corresponding height.

We can find the parallelogram's height by dividing the area by the corresponding base.

Height of the parallelogram = area ÷ base

DF = area ÷ base (AB)

= 585 ÷ 39

=15 cm.

Answer:

ur screwed but the answer is 110.88

Step-by-step explanation:

:)

Answer:

2nd option: \(3 \frac{65}{72} \) pounds

Step-by-step explanation:

backpack +math book ----- \(18 \frac{7}{9} \) pounds

backpack ----- \(14 \frac{7}{8} \) pounds

Weight of math book

= (weight of backpack +math book) -(weight of math book)

\( = 18 \frac{7}{9} - 14 \frac{7}{8} \\ = 3 \frac{65}{72} \)

Answer:

B. 3 and StartFraction 65 over 72 EndFraction pounds

Step-by-step explanation:

The correct answer is (D) The Confidence interval is between 71% and 77%.

The margin of error in a study represents the amount of error that is acceptable in the results due to the sample size and the variability of the data. It is an estimate of how much the sample proportion may differ from the true population proportion.

In this study, the margin of error is 3.2%, which means that the true proportion of patients experiencing flulike symptoms in northern California during December could be as much as 3.2% higher or lower than the sample proportion of 74%.

To determine the confidence interval for the study, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

Plugging in the values, we get:

Confidence Interval = 0.74 ± 0.032

Simplifying, we get:

Confidence Interval = (0.708, 0.772)

Therefore, the correct answer is (D) The confidence interval is between 71% and 77%.

It's important to note that plagiarism is not acceptable and is a violation of academic integrity. When answering questions or completing assignments, it's important to use your own words and understanding of the concepts. If you need help or guidance, there are resources available such as textbooks, online tutorials, and tutors that can assist you in learning and understanding the material.

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The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer:

Step-by-step explanation:

Let's assume that the owner received x 1L and y 2L cartons.

As given, the total amount of milk received is 120L,

=> 1x+2y=120 ---(equation 1)

we also know that the total no. of cartons received is 97,

=>x+y=97--(equation 2)

on solving equations 1 and 2, we get:

x=97-y(from equation 2)

substituting the x value in equation 1,

=>1(97-y)+2y=120

=>97-y+2y=120

=>y=23

substituting the y value in equation 2 gives:

x=97-y=97-23=74

so, the delicatessen owner received 74 one-liter cartons and 23 two-liter cartons.

Answer:1,978.2

Step-by-step explanation: we will need to find the circumference (the perimeter of a circle). The formula for the circumference is C=2пr

The diameter is 2r, so we have to divide 42 by two. You get 21 for the radius. We will use 3.14 for the pi.

then you plug it in to the formula

C = 2 (3.14) * 21

The answer is 131.88

Then times that with 3

you get 395.64

but since it has been 5 minutes, then you times it with 5

that's 1,978.2

Answer:

630 ft because 3x5=15 then 15x42

Respuesta: 70 pesos

Explicación paso a paso:

Dado que:

Sea la cantidad total poseída = t

Fracción gastada en alimentos = 1/3 t = t / 3

Fracción gastada en pasaje = 1/8 t = t / 8

Monto restante después del gasto total = 39 pesos

Fracción total gastada:

(t / 3 + t / 8)

= (8t + 3t) / 24

= 11t / 24

Fracción restante después del gasto total:

(t - 11t / 24)

= 13t / 24

Por lo tanto,

Fracción restante después del gasto total = Cantidad restante después del gasto total

13t / 24 = 39

13t = 936

t = 936/13

t = 72 pesos

Por lo tanto,

Monto total poseído = 72 pesos

Answer:

207 cm

Step-by-step explanation:

Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm

Perimeter of triangle PQR is

P(ΔPQR) = 36+48+24 = 108 cm

Because the triangles are are similar their sides are in proportion.

But how much bigger did the second triangle get?...is (92/48) times bigger

P(ΔSTU) = 180*(92/48) = 207 cm

...you can also use proportions to find each side and then find the perimeter

TU = 24*92 /48 = 46

TS = 36*92/48 = 69

SU = 92

P(ΔSTU) = 92+69+46 =207 cm

*the triangles are not drawn to scale

In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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The dimensions of the rectangular bases are 6 units by 33 units. Thus, x = 6.

To find the value of x, we need to determine the dimensions of the rectangular bases of the prism. Let's analyze the given information.

We are given:

Height of the prism = 3 units

Volume of the prism = 198 unit\(s^3\)

The volume of a prism is given by the formula V = base area × height.

Since the bases of the prism are rectangles, the formula for the area of a rectangle is A = length × width.

Let's assume that the length of one base is represented by x units, and the width of the other base is represented by y units.

Therefore, the volume of the prism can be expressed as:

198 = x × y × 3

Simplifying the equation, we have:

594 = 3xy

Dividing both sides by 3, we get:

198 = xy

Now, we need to find two positive integers whose product is 198. Let's list the factors of 198:

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

From these factors, we need to find a pair of numbers (x and y) such that their product is 198. After examining the factors, we find that x = 6 and y = 33 satisfy this condition.

Therefore, the dimensions of the rectangular bases are 6 units by 33 units. Thus, x = 6.

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Answer:

y=-2

Step-by-step explanation:

First, find the slope using the slope formula: m=y2-y1/x2-x1

Plug the numbers into the equation and get 0

Using the slope and one of the coordinates, put the equation into point-slope form: y-y1=m(x-x2)

y+2=0(x+4)

Distribute and simplify to get the final answer.

y+2=0+0

y=-2

An expression that is equivalent to (3⁶/y⁻⁵)² is: D. 3¹²·y¹⁰.

In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an expression, in order to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the given expression, we would have the following simplified expression:

(3⁶/y⁻⁵)²

(3⁶/1/1/y⁵)²

(3⁶ × y⁵)²

3¹²·y¹⁰

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

80 degrees

Step-by-step explanation:

What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees

We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.

Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.

Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.

Answer:

No, correlation does not imply causation.

Causation cannot be proven because weight loss can occur for other reasons, such as exercise and eating healthy

Step-by-step explanation:

Even though the study shows a strong correlation between eating breakfast and weight loss, the study does not show a cause-and-effect relationship between those two variables.

Correlation indicates that the rates of weight loss and eating breakfast showed similar values over time, but, in this experiment, causation cannot be proven because weight loss can occur for other reasons, such as exercise and eating healthy.

Answer:

No. Causation cannot be proven because weight loss can occur for other reasons, such as exercise and eating healthy.

Step-by-step explanation:

Similar question on my exam, got it correct!

Hope this helps! ◎[▪‿▪]◎

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a) executive orders.

Executive orders are directives issued by the President of the United States that have the force of law. They are used to manage and govern the operations of the federal government. In this case, President Eisenhower used his executive authority to deploy the Arkansas National Guard to enforce the desegregation of schools as mandated by the courts.

The Supreme Court's landmark decision in Brown v. Board of Education in 1954 declared that segregation in public schools was unconstitutional. However, resistance to desegregation persisted in some areas of the country, including Arkansas. To ensure compliance with the court's ruling, President Eisenhower exercised his executive power and deployed the National Guard to Little Rock, Arkansas, to protect and enforce the rights of African American students seeking to attend previously all-white schools.

Therefore, President Eisenhower's action of ordering the Arkansas National Guard to enforce court orders to desegregate schools falls under the category of a) executive orders, as he used his executive authority to implement a policy decision.

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The equation of the new function g(x) is g(x) = 2 - |x+2|

Transformation is. way of changing the position of an object on an xy-plane.

Given the parent function  f(x) = |x+3|.

If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to  |x+2| - 2

The reflection of the resulting function across the x-axis is given as:

g(x) = -(|x+2|-2)

g(x) = 2 - |x+2|

Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|

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Answer:

is this all what u where given

Step-by-step explanation:

yes

Answer:

$287.88

Step-by-step explanation:

Multiply 119.95 by 3.

You get 359.85

Multiply that by 80% or 0.8

The answer is 287.88

Answer: A. Mean = 9.56, Median = 11, Mode = 7

Step-by-step explanation:

The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

Given data below:

In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.

The formula is:

\(\bar{M}=\dfrac{\sum M}{N}\)

\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)

\(\bar{M}=\dfrac{86}{9}\)

\(\bar{M}=9.56\)

Next, we will find the median.

In order to find the median, we got to place the numbers in value order and find the middle.

So,

\(\text{Median}=9\)

Lastly, we will find the mode.

To find the mode, order the numbers lowest to highest and see which number appears the most often.

So,

\(\text{Mode}=7\)

Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

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Answer:

X=3

Step-by-step explanation:

This is what i think if i am correct you can mark me as brainliest but if you think i am wrong you can correct me

By probability, she will not receive a phone call from any of her grandchildren after 146 days

In those circumstances, probability helps in assessing the likelihood of an event. Probability plays a significant role in daily life. political strategy analysis, blood type determination, sports and gaming strategies, insurance buying or selling, online shopping, and online gaming.

There is a \(\frac{2}{3}\) chance that the first child won't call, a \(\frac{3}{4}\) chance that the second child won't call, and a \(\frac{4}{5}\) chance that the third child won't call on any given day. There is a \(\frac{2}{3} *\frac{3}{4} * \frac{4}{5} = \frac{2}{5}\) chance that no child calls her on a randomly selected day.

When we consider a sample of 360 days, in particular, this "unrigorous" reasoning becomes rigorous due to linearity of expectation; over the first 360 days, 360 * 2/5 = 144 days will pass without a phone call. Now, we just check the remaining days. On days $361 and $362, no one calls her. On days 363 and 364, she receives calls from children every three and four days, respectively. On day 365, she receives calls every five days. Therefore, to get our answer of 146, we two more days in  144.

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An urn contains 5 red balls, 8 blue balls, and 7 green balls, total 1680 different ways can there be exactly 2 red balls or exactly 2 green balls.

We have given that,

Total number of balls in urn = 20

Red balls in urn = 5

blue balls in urn = 8

green balls in urn = 7

Four balls are withdraw from an urn.

We have to calculate the different ways can there be exactly 2 red balls or exactly 2 green balls.

Total number of ways that exactly 2 red balls are withdraw = ⁵C₂= 5!/2!3! = 5×4/2

= 10 ways

Total number of ways that exactly 2 green balls are withdraw = ⁷C₂ = 7!/5!2!

= 7×6/2 = 21 ways

Total number of ways that last fifth ball is blue withdraw from urn = ⁸C₁ = 8!/7!/1!

= 8 ways

The different ways that exactly 2 red balls or exactly 2 green balls are withdraw from an urn

= ⁵C₂× ⁷C₂ × ⁸C₁

= 10× 8×21 = 1680 ways.

Hence, required number of ways are 1680.

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