Jack borrows $2,700 at a rate of 8.2% per year. How much simple interest will he owe if it takes 3 months to repay the loan? Round to the nearest cent.

Just replace the variable "x" with "7":

So we have 4(7) - 8 or 28 - 8 which is 20.

So g(x) = 20.

Answer:

g(7) = 20

Step-by-step explanation:

To evaluate g(7), substitute x = 7 into g(x), that is

g(7) = 4(7) - 8 = 28 - 8 = 20

Step-by-step explanation:

Answer:

\(35x^{2}-67x-22\)

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

5(4x - 3y) - 4(4x - 3y)

= 5 × 4x - 5 × 3y - 4 × 4x + 4 × 3y

= 20x - 15y - 16x + 12y

= 20x - 16x - 15y + 12y

= 4x - 3y (Ans)

Answer:

g(x) shifted vertically by 2, no horizontal shift

Step-by-step explanation:

Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.

Answer:

A

Step-by-step explanation:

On a number line, I would start at 32 and then go left on the number line 17 spaces.  This would land me at positive 15.

Answer:

y=85x

Step-by-step explanation:

Given:

The given volume formulas to calculate the volume of a rectangular

pyramid.

To find:

The correct volume formula.

Solution:

The volume of a rectangular pyramid is:

\(V=\dfrac{1}{3}Bh\)

Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.

Therefore, the correct volume of a rectangular pyramid is \(V=\dfrac{1}{3}Bh\).

Note: In the given problem, the options are not in correct form.

The triangle is a scalene triangle.

The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:

   x + x + 10 + 2x - 6 = 180

This simplifies to,

   4x + 4 = 180,

   or 4x = 176, or x = 44

Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.

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The cost of 1.20 kg of carrots is $2.09.

to convert the weight of carrots from pounds to kilograms. There are approximately 2.20462 pounds in 1 kilogram. Therefore, 1.20 kg of carrots is equivalent to 2.64555 pounds.

Next, we can use the given price of $0.79 per pound to calculate the cost of 2.64555 pounds of carrots.

Cost of 2.64555 pounds of carrots = 2.64555 x $0.79

Cost of 2.64555 pounds of carrots = $2.09 (rounded to the nearest cent)

Therefore, the cost of 1.20 kg of carrots is $2.09.

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli

Step-by-step explanation:

Answer:

-256

Step-by-step explanation:

Put a negative next to 2^8 and you'll get your answer.

Answer:

$25

Step-by-step explanation:

5% of 500 = 0.05 × 500 = 25

Answer:

25$

Step-by-step explanation:

500*.05=25

Hope this helps :0

The first four nonzero terms of the Taylor series for f(x) = 5xex, centered at a = 0, are 5x, \(5x^2\), \(5x^3^/^2, 5x^4^/^6.\)

The Taylor series expansion allows us to express a function as an infinite sum of terms, providing an approximation of the function near a specific point. In this case, we are given the function f(x) = 5xex and the center a = 0.

To find the first four nonzero terms of the Taylor series, we need to compute the derivatives of f(x) at x = 0.

Starting with the first derivative, we differentiate f(x) with respect to x, which gives us f'(x) = 5(1+x)ex.

Next, we evaluate the second derivative by differentiating f'(x) with respect to x. This yields f''(x) = 5(2+x)ex.

Continuing this process, we find the third derivative f'''(x) = 5(3+x)ex and the fourth derivative f''''(x) = 5(4+x)ex.

The terms of the Taylor series are obtained by evaluating each derivative at x = 0 and dividing it by the corresponding factorial term. The first four nonzero terms of the series for f(x) centered at a = 0 are 5x, \(5x^2\), \(5x^3^/^2\), and \(5x^4^/^6\).

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The FAA selects 6 regions from its 32 regions, and then randomly audits 25 departing commercial flights in each

region for compliance with legal fuel and weight requirements. This is an example of stratified random sampling.

Stratified random sampling is a type of probability sampling method that involves dividing the population into smaller

groups, or strata, and then selecting samples from each stratum. This sampling technique is used when the population

is too large to sample as a whole, and it is necessary to divide it into smaller, more manageable groups.

Stratified random sampling is designed to ensure that each stratum within the population is adequately represented in

the sample. This is achieved by selecting a random sample from each stratum, with the size of the sample determined

by the proportion of the population that it represents.

By selecting a sample from each stratum, stratified random sampling allows for a more accurate representation of the

population as a whole.

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Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727

We find the quotient by dividing 15 by 1, which equals 15.

To form an equivalent division problem for 5 divided by 1/3 by multiplying both the dividend and divisor by 3, the steps are as follows; If we multiply both the dividend and divisor of the fraction 5 divided by 1/3 by 3, the resulting equivalent division problem is:15 ÷ 1 Thus, the quotient is 15. Therefore, the equivalent division problem for 5 divided by 1/3 by multiplying both the dividend and divisor by 3 is 15 divided by 1.

In general, when multiplying both the numerator and the denominator of a fraction by the same number, the resulting fraction is equivalent to the original one. By extension, this applies to division problems, where the dividend and divisor are multiplied by the same number. In the case of 5 divided by 1/3, the dividend is 5 and the divisor is 1/3. Multiplying both of them by 3, we get an equivalent division problem, 15 divided by 1.

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By substituting the first equation into the second, we get:

2x + 5*(2x +3) = 3

The correct option is the second one.

Here we have the system of equations:

y = 2x + 3

2x + 5y = 3

You can see that the variable "y" is already isolated in the first equation, so we can just substitute it in the second equation:

2x + 5*(2x +3) = 3

This is what we can see in the second option, so we conclude that the second option is the correct one.

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Max() is a method.

max() is a static method of Math , we always use it as Math.max() , rather than as a method of a Math object you created.

Static Method

A static method  is a method defined as a member of an object but is accessible directly from an API object's constructor, rather than from an object instance created via the constructor.

Sometimes a method performs a task that does not depend on the data of any object . Such a method applies to the class in which it's declared as a whole and is known as a static method.

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(2x + 3) (x^2 - 6x + 9)

Thinking:

Wait so like quadrants as in coordinate planes? If so, all the names of the quadrants are 1,2,3,4.

A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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The possible lengths( in whole elevation) for the third side is

9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.

 For the below question, we've a rule from the properties of triangle, the sum of the length of any two  sides of the triangle must be lesser than the length of the third side.

Hence

She has two sides of length 18 elevation and 27 elevation

Let the third side = x

Hence

a) 18 27> x

45> x

b) 18 x> 27

x> 27- 18

x> 9

thus, the possible lengths( in whole elevation) for the third side is

elevation< x< 45 elevation

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The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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Answer: 36 hours

Step-by-step explanation:

Using inverse variation,

7x=14x18

7x=252

x=252/7=36

Therefore, Time taken = 36 hours.

Since we know the rate to fill the reservoir, let's figure out how much water is required:

18 litres/minute × 14 hours × 60 minutes/hour = 15120 litres

Now, divide this value by our new rate, and this should give the time required to fill it, which is:

2160 minutes

Converting it from minutes to hours, the answer is 36 hours.

Answer:

Its the Denominator.  Hope I helped please mark brainliest if you can and thanks! <3

Step-by-step explanation:

Answer:

21

Step-by-step explanation

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