Find the present value of $20,000 due in 6 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 8%/year compounded monthly $ ____
(b) 9%/year compounded daily $ ____

First, calculate the difference in cost between buying 3 pounds of chicken across town and buying it in your neighborhood.

This is $0.90

Then, the distance between the two places is

The difference in distance is 5.2 miles.

Find the number of gallons needed to drive 5.2 miles,

Then, multiply the number of gallons by the cost per gallon of gas, as shown below

Then, the total savings are

Answer:

He has used 1395 or more minutes each month.

Step-by-step explanation:

Each minute cost $0.05.

m minutes cost 0.05m.

The monthly fee is $30.

The total monthly charge for the monthly fee and minutes is

0.05m + 30

His smallest charge was $99.75, so all his charges are $99.75 or more.

That means his charges are greater than or equal to $99.75.

0.05m + 30 ≥ 99.75

0.05m ≥ 69.75

m ≥ 1395

Answer: He has used 1395 or more minutes each month.

In Chloe's risk information forms, the key item she should document is the probability and impact of each identified risk.

To effectively monitor risks and obtain early warnings, Chloe should document the probability and impact of each identified risk in her risk information forms. Let's break down why this information is critical in risk management.

The impact of a risk represents the potential consequences or severity of its occurrence. By documenting the impact, Chloe can understand the potential damage or disruption a risk could cause. This allows her to prioritize risks based on their potential impact on the project or objective. By assigning an impact rating or value to each risk, Chloe can identify high-impact risks that require careful consideration and robust mitigation strategies.

Once Chloe has established the probability and impact for each risk, she can set thresholds or triggers for early warning signs. These thresholds act as indicators that a risk is approaching or crossing a critical level.

Chloe can track these thresholds regularly and set up a monitoring system that alerts her when a risk reaches or surpasses the specified levels. This allows her to take timely action and implement mitigation strategies before the risk escalates and negatively impacts the project.

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Answer: There are no intersections for these two lines, because if you plot them on a graph, they are parallel.

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

Answer: f(2)=-10     f(-3)=15

Step-by-step explanation:

Let the number conceived be x.

Hence,

f(x)=(x+5)(-3)-2x+15

f(x)=-3x-15-2x+15

f(x)=-5x

Thus,

f(2)=(-5)(2)

f(2)=-10

f(-3)=(-5)*(-3)

f(-3)=15

Answer:

B

Step-by-step explanation

Multiplying by 0.97 will decrease $200,000 to $194,000.

^c is x years after the purchase, so having (0.97)^c will make the $200,000 value decrease more and more.

Answer:

For me, it always helps to break down equations like this. Divide it up into two separate parts.

4^2*4^2=x

4^2=16

Replace both 4^2 with 16

16*16=256

El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.

Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.

Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.

En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.

Answer:

2.7n + 6.6 or 6.6 + 2.7n

Step-by-step explanation:

Algebraic Expressions are just like Numerical Expressions but instead of numbers, alphabets are used, these alphabets can also be used as variables. (BODMAS rule applies to Algebraic Expressions as well.)

Eg. 45x + 31x(2) = 45x + 62x = 107x

Given from the question:

\(0.3(9n + 22) \\ = 2.7n + 6.6 \: or \: 6.6 + 2.7n\)

Answer:

The answer is SAS

Step-by-step explanation:

The SAS rule states that two triangles are similar if the ratio of their corresponding two sides is equal and also, the angle formed by the two sides is equal.

Answer:

all follow the sequence

Step-by-step explanation:

Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.

Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.

Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

\(\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}\)

Slope of the line :

\( \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}\)

therefore, m = slope = -1

The equation of the line will be :

Now, let's plug the value of x and y from coordinates of second point,

Hence, the required values are :

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

The slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

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

m=y₂-y₁/x₂-x₁

A line passes through (-2, 7) and (3, 2). We need to find the slope.

x₁=-2, x₂=3, y₁=7, y₂=2

substitute the values in formula of slope

m=2-7/3-(-2)

m=-5/5=-1

The slope intercept form of line is y=-x+b

To find b put the values of (-2,7)

7=-(-2)+b

7=2+b

7-2=b

5=b

y intercept is 5

Hence the slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

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Answer:

No.

Step-by-step explanation:

\(10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\\)

\((10)(4)=40\)

\(10000\neq 40\). Therefore, \(10^{4} \neq\)10x4.

**Exponents expresses how many times the number it multiplied by it's own value. Such as \(x^{2}\) is the same as (x)(x) since it is times by itself 2 times. Or, \(6^{8}\) is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.

The correct answer is C." is either rational or irrational" because it cannot be expressed as the ratio of two integers.

The product of a non-zero rational number and a non-zero irrational number is either rational or irrational, depending on the specific numbers involved.

let's assume that the non-zero rational number is a/b and the irrational number is c. If their product is rational, we can write

a/b×c=d/e

where d and e are integers with no common divisors. This means:

c = (d/b) × (e/a)

Both d/b and e/a are rational numbers, so their product is also a rational number. Therefore, expressing the irrational number c as the product of two rational numbers is a contradiction. 

For example, consider the rational number 2/3 and the irrational number √2.

Multiplying them gives:

(2/3) * √2 = (2√2)/3

It is an irrational number because it cannot be expressed as the ratio of two integers. Therefore answer (C) is either rational or irrational.

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The boy should throw the ball at a speed of 17.15 m/s.

Newton’s first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia. If all the external forces cancel each other out, then there is no net force acting on the object.  If there is no net force acting on the object, then the object will maintain a constant velocity. His second law defines a force to be equal to change in momentum (mass times velocity) per change in time. Momentum is defined to be the mass m of an object times its velocity V.

From Newton's equations of motion,

v = u + at

Here, v = 0 m/s

a = g = -9.8 m/s²

t = 3.5/2 = 1.75 s

Put these values in the above equation:

u = v - at

u = 0 - (-9.8)(1.75)

∴ u = 17.15 m/s

Thus, the boy should throw the ball at a speed of 17.15 m/s.

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Given the expression;

a+(b-c)²​

Given the values

a = 2

b = 3

c = -2

To eveluate the expression, we will have to substitute the given values into the expression as shown;

= 2+(3-(-2))²

​

= 2+(3+2)²

= 2+(5)²

= 2 + 25

= 27

Hence the value of the expression is 27.

Answer:

X is 16 degrees

Step-by-step explanation:

The angles are vertically opposite so they are equal

3x-4=4x-20

4x-3x=20-4

X=16

The composite functions f ∘ g and g ∘ f is defined as follows:

f ∘ g (x) = f(g(x))

g ∘ f (x) = g(f(x))

In other words, f ∘ g is the composition of two functions f and g, such that the output of g is used as the input to f. Similarly, g ∘ f is the composition of two functions g and f, such that the output of f is used as the input to g.

It's important to note that the order in which the functions are composed matters, as f ∘ g is not necessarily equal to g ∘ f. In general, the composite function of two functions is not commutative, meaning that the order in which the functions are composed affects the result.

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If f(x) is a linear function, it can be represented by the equation of a straight line in the form:

f(x) = mx + bwhere m is the slope of the line and b is the y-intercept.

Given that f(-5) = 3 and f(5) = 2, we can substitute these values into the equation to form a system of equations:

f(-5) = -5m + b = 3 ---- (1)

f(5) = 5m + b = 2 ---- (2)

To find the equation for f(x), we need to solve this system of equations for the values of m and

b.We can subtract equation (1) from equation (2) to eliminate the b term:5m + b - (-5m + b) = 2 - 3

5m + b + 5m - b = -1

10m = -1

m = -1/10

Substituting the value of m back into either equation (1) or (2) to solve for b:-5(-1/10) + b = 3

1/2 + b = 3

b = 3 - 1/2

b = 5/2

Therefore, the equation for f(x) is:

f(x) = (-1/10)x + 5/2

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Answer: A: substitution method

Step-by-step explanation:

The substitution method is one way of solving systems of equations. To use the substitution method, use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation.

To determine the height of the building, we can use trigonometry. In this case, we can use the tangent function, which relates the angle of elevation to the height and shadow of the object.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this scenario:

tan(angle of elevation) = height of building / shadow length

We are given the angle of elevation (43 degrees) and the length of the shadow (20 feet). Let's substitute these values into the equation:

tan(43 degrees) = height of building / 20 feet

To find the height of the building, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 20 feet:

20 feet * tan(43 degrees) = height of building

Now we can calculate the height of the building using a calculator:

Height of building = 20 feet * tan(43 degrees) ≈ 20 feet * 0.9205 ≈ 18.41 feet

Therefore, the height of the building that casts a 20-foot shadow with an angle of elevation of 43 degrees is approximately 18.41 feet.

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Answer:

975 teenagers attended the football game

Step-by-step explanation:

25 x 3900    = 975

    100

975/3,900 = 25/100 = 25%

Answer:

-4

Step-by-step explanation:

15-9= 6

6+11= 17

17-21= -4

Answer:

306.36 is the answer

Step-by-step explanation:

Answer:

306.36

Step-by-step explanation:

hope it helps! x

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

\( = - (( - \frac{x}{4} )) = - 5\)

\( = \frac{x}{4} = - 5\)

step (ii) :-

multiply '4' on both sides we get

\( = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4\)

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

The expression 3d - c, when evaluated with a = 2, b = -3, c = -1, and d = 4, equals 13.

To evaluate the expression 3d - c, we substitute the given values of a, b, c, and d into the expression and perform the necessary calculations.

Substitute the given values into the expression:

3d - c = 3(4) - (-1)

Simplify the expression:

3(4) - (-1) = 12 + 1 = 13

Therefore, when a = 2, b = -3, c = -1, and d = 4, the expression 3d - c equals 13.

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