In one year, a principal of $1000 led to an accumulation of $1100 .

The annual percentage yield ( APY ) for this investment is 9 % .

True

False

Answer:

LM

Step-by-step explanation:

Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.

Answer:

To find the equation of a line that passes through a given point and is parallel to a given line, we need to use the fact that parallel lines have the same slope.

The given line has a slope of 2/3, which means that any line parallel to it will also have a slope of 2/3. Therefore, the equation of the line we are looking for will have the form:

y = (2/3)x + b

where b is the y-intercept of the line. To find the value of b, we need to use the fact that the line passes through the point (3,4). Substituting this point into the equation above, we get:

4 = (2/3)(3) + b

Simplifying this equation, we get:

4 = 2 + b

Subtracting 2 from both sides, we get:

b = 2

Therefore, the equation of the line that passes through the point (3,4) and is parallel to y = (2/3)x - 1 is:

y = (2/3)x + 2

I hope this helps!

Answer:

12 miles per hour

Step-by-step explanation:

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

The potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y' is \frac{y^2}{2}+6x^2y-2xy.

To find the potential function, we need to integrate the first term with respect to y and the second term with respect to x. This gives us:

\int\frac{y}{x}dy = \frac{y^2}{2}+C_1

\int 6xy dx = 3x^2y+C_2

We can then combine these two integrals to get the potential function:

\frac{y^2}{2}+3x^2y+C_1+C_2

Since we are looking for a potential function, we can ignore the constants and just focus on the terms with variables. This gives us:

\frac{y^2}{2}+3x^2y

We can also simplify this by factoring out a y:

y(\frac{y}{2}+3x^2)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

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Answer:  1.323x10^-2  

Step-by-step explanation:

21*(6.3x10^-4) = 1.323x10^-2

Answer:

peter will get 225

Answer:

The meal cost 80 dollars

The dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 34.34 ft.

To find the dimensions of the tank with minimum weight, we need to consider the relationship between the volume of the tank and the weight of the sheet steel.

Let's assume the side length of the square base of the tank is x, and the height of the tank is h.

The volume of the tank is given as 8788 ft³, so we have the equation x²h = 8788.

To determine the weight, we need to consider the surface area of the tank. Since the tank has an open top and a square base, the surface area consists of the base and four sides.

The base area is x², and the area of each side is xh. Therefore, the total surface area is 5x² + 4xh.

The weight of the sheet steel is directly proportional to the surface area. Thus, to minimize the weight, we need to minimize the surface area.

Using the equation for volume, we can express h in terms of x: h = 8788/x².

Substituting this expression for h into the surface area equation, we have A(x) = 5x² + 4x(8788/x²).

Simplifying the equation, we get A(x) = 5x² + 35152/x.

To find the dimensions of the tank with minimum weight, we need to minimize the surface area. This can be achieved by finding the value of x that minimizes the function A(x).

We can differentiate A(x) with respect to x and set it equal to zero to find the critical points:

A'(x) = 10x - 35152/x² = 0.

Solving this equation, we get x³ = 3515.2, which yields x ≈ 14.55.

Since the dimensions of the tank need to be positive, we discard the negative solution.

Therefore, the dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 8788/(14.55)² ≈ 34.34 ft.

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Answer:

It is so multiple 2y-4y and u will get ur answer

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.

(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.

(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.

(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.

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The terms in discrete structures are defined as follows:

1.Argument: A set of statements where one or more statements (premises) are used to support another statement (conclusion).

2.Premise: A statement or proposition that serves as evidence or support for a conclusion in an argument.

3.Conclusion: The statement that is supported or inferred from the premises in an argument.

4.Syllogism: A form of deductive reasoning that consists of two premises and a conclusion, following a specific logical structure.

5.Fallacy: An error in reasoning that leads to an invalid or unsound argument.

6.Contraposition: A logical inference that involves negating and reversing the terms of a conditional statement.

7.Contradiction: A statement or proposition that is opposite or negates another statement, leading to a logical inconsistency.

8.Proof by cases: A method of proof where all possible cases or scenarios are examined to establish the truth of a statement.

9.Proof by counterexample: A method of disproving a statement by providing a specific example that contradicts it.

10.Induction: A form of reasoning that involves making generalizations or drawing conclusions based on specific instances or observations.

1.Modus ponens: If A, then B. A is true, therefore B is true.

Example: If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.

2.Modus tollens: If A, then B. Not B is true, therefore not A is true.

Example: If it is a weekday, then I go to work. I am not going to work. Therefore, it is not a weekday.

3.Disjunctive syllogism: A or B. Not A is true, therefore B is true.

Example: It is either sunny or cloudy. It is not sunny. Therefore, it must be cloudy.

4.Hypothetical syllogism: If A, then B. If B, then C. Therefore, if A, then C.

Example: If it rains, then the ground is wet. If the ground is wet, then it is slippery. Therefore, if it rains, it is slippery.

5.Addition: A. Therefore, A or B.

Example: It is raining. Therefore, it is raining or the sun is shining.

6.Simplification: A and B. Therefore, A.

Example: The car is red and it is parked. Therefore, the car is red.

7.Disjunction: A or B. Therefore, B or A.

Example: It is either Monday or Tuesday. Therefore, it is either Tuesday or Monday.

8.Resolution: (A or B) and (not B or C). Therefore, A or C.

Example: It is either raining or snowing, and it is not snowing or it is cold. Therefore, it is either raining or it is cold.

9.Generalization: A specific statement is true for a particular case, therefore it is true for all cases.

Example: I have seen five black cats, and they were all friendly. Therefore, all black cats are friendly.

10.Constructive or destructive dilemma: If A, then B. If C, then D. A or C is true. Therefore, B or D is true.

Example: If it is sunny, then I will go swimming. If it is cloudy, then I will go hiking. It is either sunny or cloudy. Therefore, I will either go swimming or hiking.

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Answer:

Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.

Step-by-step explanation:

got 100% on edge

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Answer:

( -2, 2 )

Step-by-step explanation:

plug the points into the midpoint formula

\(x=\frac{-4+0}{2}=\frac{-4}{2}=-2\\\\y=\frac{7-3}{2}=\frac{4}{2}=2\)

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

The perimeter of a rectangle of length l and width w is given by:

\(P = 2(l + w)\)

In this problem:

Then:

\(P = 2(l + w)\)

\(280 = 2(10 + 8 + w)\)

\(36 + 2w = 280\)

\(2w = 244\)

\(w = \frac{144}{2}\)

\(w = 122\)

She can make a deck of 122 ft wide.

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Answer: D

Step-by-step explanation:

x represents gallons of gas

domain is what your x's could be

x can't be a negative becausue you can't get negative gallons of gas so

x can't be -4

D

We need radius

Now

LSA

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

\(\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Given:

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

\(\implies \sf 1715=\pi r^2 (18)\)

\(\implies \sf r^2=\dfrac{1715}{18 \pi}\)

\(\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}\)

Surface Area of a Cylinder

\(\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}\)

Substitute the given value of h and the found value of r into the formula and solve for SA:

\(\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)\)

\(\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=813.3908956...\)

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

The possible values of n are 1 and 2, as there can be two non-integer positive numbers whose product is equal to 12. Option B is correct.

All the possible ways to express 12 as a product of three positive numbers:

1 x 2 x 6

1 x 3 x 4

To identify which products have two non-integer factors.

From the above list, we see that only the first product, 1 x 2 x 6, has two non-integer factors (2 and 6).

From the  following complete list of the possible values of n if the product of 3 positive numbers is equal to 12 and 3 positive numbers of n are not integers then answer is option (b) 1, 2.

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Answer:

38.2

Step-by-step explanation:

The value of x will be;

⇒ x = 37.6°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In a triangle;

⇒ ∠ A = 27°, ∠ B = x

⇒ Side (a) = 11, Side (b) = 15

Now,

The sine rule of triangle is,

⇒ sin A / a = sin B / b = sin C / c

Substitute all the values, we get;

⇒ sin 27° / 11 = sin x / 15

⇒ 0.45 / 11 = sin x / 15

⇒ sin x = 0.45 × 15 / 11

⇒ sin x = 0.61

⇒ x = sin ⁻¹ 0.61

⇒ x = 37.6°

Thus, The value of x = 37.6°

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378 inches squared

its (18x15)+(6x18)

Answer:

x=0, x=3, x=-2

Step-by-step explanation:

factor the equation

x(x^2-x-6)

factor more

x(x-3)(x+2)

set it equal to 0

x(x-3)(x+2)=0

plug in numbers for x that would result in the answer being 0

0(0-3)(0+2)=0

3(3-3)(3+2)=0

-2(-2-3)(-2+2)=0

Answer:

a=-3,b=-1,c=5

Step-by-step explanation:

move all the variables to the right, and then all the x with number and number move to the left. then solve it. by using the formula to compare which is ax2+bx+c compare to the things you solve come out. then you will get a=-3,b=-1,c=5

Answer:

okay i will gladly

The average speed of the train is 18m/sec and the length of the train is 72 m.

let  x represent the length of the train.

and 'S' be the speed of the train.

Given, that the train passes through 360 m long tunnel  completely in 24 sec.

⇒ 360+x/24 = s

⇒ 24s = 360+x ...eq(1)

And also given that it passes through another tunnel 216 m long completely in 16 sec.

⇒ 216+x/24 = s

⇒ 16s = 216 + x .... eq(2)

⇒ subtract eq(1) from eq(2)

⇒ 24s = 360 + x

   16s = 216 + x

8s = 144

s = 18 m/sec

length of the train: 24s = 360+x

24(18) = 360+x

432 = 360+x

x = 432-360

x = 72m

Hence the length of the train is 72 m.

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Using Delta y = f'(x) Delta x to find a decimal approximation of the radical expression, we get the value found using Delta y f' (x) Delta x is 124.176.

The Delta y = f’(x) Delta x is the linear approximation formula used in calculus to estimate the value of an unknown function based on its derivative at a particular point.

In order to solve the problem using Delta y = f’(x) Delta x, we first have to rewrite the radical expression in terms of a function.

Let the function f(x) = sqrt(x) represent the radical expression.

Then, we will find the value of f'(x) by differentiating the function f(x) using the Power Rule of differentiation.

f(x) = sqrt(x) f'(x) = 1/2x^(-1/2)

Next, we will substitute the given value of x in the function f(x) and f’(x) to solve for Delta y = f'(x) Delta x.

Given, x = 124

Delta x = 2 Δy = f’(x) Δx = 1/2 * 124^(-1/2) * 2 = 0.1762

Hence, the decimal approximation of the radical expression is 124.176.

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Answer:

v = - 6

Step-by-step explanation:

10 + 3v = - 8 ( subtract 10 from both sides )

3v = - 18 ( divide both sides by 3 )

v = - 6

Answer:

Step-by-step explanation:

10 + 3v = –8

3v=-8-10

3v=-18

v=-18/3

v=-3

Answer:

12 zeros

Step-by-step explanation: