The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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The time in minutes at which a pyroclastic flow will reach the town  is 0.3 minutes and the functions are t = 30/r, r = 30/t and d = 30r

Here, we have:

Distance = 30 kilometers

Rate = 100 kilometers per minute

The time is calculated as:

Time = Distance/Rate

So, we have

Time = 30/100

Evaluate

Time = 0.30

Hence, the time in minutes at which a pyroclastic flow will reach the town  is 0.3 minutes

Here, we have

Distance = 30 kilometers

Rate = r

The time is calculated as:

Time = Distance/Rate

So, we have

t = 30/r

Hence, the function for time is t = 30/r and the domain is r > 0

Here, we have

Distance = 30 kilometers

Time = t

The time is calculated as:

Time = Distance/Rate

So, we have

t = 30/r

The maximum speed is 10 km/min

So, we have:

t = 30/10 = 3

Rewrite t = 30/r as:

r = 30/t

Hence, the function for rate is r = 30/t and the domain is 0 < t < 3

Here, we have

time = 30 minutes

Rate = r

The time is calculated as:

Time = Distance/Rate

So, we have

30 = d/r

So, we have

d = 30r

Hence, the function for time is d = 30r and the domain is r > 0

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Answer:

poin J is (-3,-2.5)

point L is (2.5,3)

x-cord for M is 3

x-cord for K is -2.5

The steps required to expand and simplify the difference between two polynomials are listed below:

Step 1: Definition of subtraction / Associative and distributive properties / (- 1) · x = - x

Step 2: Associative property

Step 3: Commutative and associative properties

Step 4: Distributive property / Definitions of addition and subtraction

Step 5: Commutative property

In this problem we must determine all steps needed to find the result of subtracting a polynomial by another polynomial. Each step is defined by a series of algebra properties:

Step 1: Definition of subtraction / Associative and distributive properties / (- 1) · x = - x

(- 3 · x³ + 5 · x² + 4 · x - 7) + (- 6 · x³ + 2 · x - 3)  

Step 2: Associative property

(- 3 · x³) + 5 · x² + 4 · x + (- 7) + (- 6 · x³) + 2 · x + (- 3)

Step 3: Commutative and associative properties

[(- 3 · x³) + (- 6 · x³)] + (4 · x + 2 · x) + [(- 7) + (- 3)] + 5 · x²

Step 4: Distributive property / Definitions of addition and subtraction

- 9 · x³ + 6 · x - 10 + 5 · x²

Step 5: Commutative property

- 9 · x³ + 5 · x² + 6 · x - 10

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The percent that is represented by the shaded squares in this 20-square grid is 90%.

From the information, it was illustrated that the bar diagram has 18 shaded squares and 2 unshaded squares. In this case, the total value of the square will be:

= Shaded part + Unshaded part.

= 18 + 2

= 20

Therefore, the percentage for shaded part will be:

= Shaded part / Total part × 100

= 18/20 × 100

= 90%

The percentage is 90%.

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Complete question

What percent is represented by the shaded squares in this 20-square grid?

A bar diagram with 18 shaded squares and 2 unshaded squares.

%

Answer:

The correct answer to your question .....What percent is represented by this 20-square grid?

Is BELOW

Step-by-step explanation:

What percent is represented by this 20-square grid?

A bar diagram with 18 shaded squares and 2 unshaded squares.

% is 90%

Have great day/week.

Answer: Let the experienced one help you out! Read the explanation down below! Brainliest?

Step-by-step explanation:

The sample space for rolling a 4-sided die twice consists of all possible pairs of outcomes, where each outcome is a number from 1 to 4. To find which outcome is not part of the sample space, we can list all the possible outcomes and then look for a number pair that does not appear.

Possible outcomes:

(1,1), (1,2), (1,3), (1,4)

(2,1), (2,2), (2,3), (2,4)

(3,1), (3,2), (3,3), (3,4)

(4,1), (4,2), (4,3), (4,4)

There are 16 possible outcomes, so one of the numbers from 1 to 16 is not part of the sample space. The missing outcome is (3,4) or (4,3), depending on the order in which the dice are rolled.

if 4-sided die, labeled 1–4 is rolled twice then 5,3 is not part of the sample space because the outcomes 5 and 3 are not part of the sample space.

It is a branch of mathematics that deals with the occurrence of a random event.

A sample space is a collection or a set of possible outcomes of a random experiment.

The sample space of rolling a 4-sided die twice can be represented by all possible ordered pairs of the outcomes, which can be listed as follows:

{(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

Therefore,  if  4-sided die, labeled 1–4 is rolled twice then 5,3 is not part of the sample space because the outcomes 5 and 3 are not part of the sample space.

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Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Answer:

1/2

Step-by-step explanation:

A six sided die is numbered 1-6 and out of those numbers, 2, 4, and 6 are even. 3 out of the 6 are even which can be simplified down to 1/2

Answer:

50%, 1/2,

Step-by-step explanation:

Well there is 6 sides with the numbers 1, 2, 3, 4, 5, 6.

2, 4, and 6 are even so it’s a 50% chance it’s even.

Answer:

c Christopher

Step-by-step explanation:

hope this helps

Answer:

10000

Step-by-step explanation:

I hope this helps!

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

The substance will weigh 9 pounds after  4.5123 hours.

Here it is given that every 3 hours the weight of the substance doubles.

At 12 noon it weighed 2 pounds. Hence we will consider the initial weight to be 2.

Let the weight after x hours be w(x)

Here it doubles in 3 hours, hence the growth rate is 100%

Since the growth rate is given, the equation for the growth rate will be

w(x) = w₀.eˣ

where x = no. of 3-hour spans.

Here

w₀ = 2

and w(x) is given 9

Hence,

2eˣ = 9

or, e²ˣ = 9/2

Taking log on both sides we get

loge²ˣ = ln(9/2)

or, 2xloge = ln(9/2)

Since loge = 1 we get

2x = log(9/2)

or, x = 1.5041

Hence they will become 9 pounds after

3 X 1.5041 hours

= 4.5123 hours

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The measure of angle ECD is 103°.

Linear pair of angles are the pair of angles formed when two lines are intersected at a point forming on a line.

Sum of the measures of angles of linear pair is supplementary.

From the given figure,

Angles 127° and ∠BAC are linear pair of angles, since they are forming on the line ACD.

So, they sum up to 180°.

127° + ∠BAC = 180°

∠BAC = 53°

We have the triangle ABC.

Sum of the angles of triangle is 180°.

∠ABC is already given as 24°.

∠BAC + ∠ABC + ∠ACB = 180°

53° + 24° + ∠ACB = 180°

∠ACB = 180° - (53° + 24°)

∠ACB = 103°

Now, vertical angles are two angles formed on the opposite side of two intersecting lines. A pair of vertical angles are equal.

∠ACB and ∠ECD are a pair of vertical angles.

So, ∠ECD = 103°

Hence the measure of angle ECD is 103°.

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The correct option is D, The probability that the Z-transform is greater than 2 in absolute value Pr (Z] > 2) is approximately 5%.

The Empirical rule states that 2 standard deviation from mean contains 95% data.

For,  Z follows standard normal distribution.

\(Z ~ Normal(\mu=0, \sigma=1)\)

Then,

P( -2 ≤ Z≤ +2) = 0.95

Or

P(|Z| ≤ 2) = 0.95

And

P( |Z|>2) = 1 - P(|Z|≤2)

P(|Z|>2) = 1- 0.95

P(|Z|>2) = 0.05 = 5%

Probability is a mathematical concept that deals with the likelihood of events or outcomes. It is expressed as a number between 0 and 1, with 0 meaning no chance of an event occurring and 1 meaning that an event is certain to occur. In probability theory, random experiments are performed and the results are analyzed to determine the probability of specific outcomes.

For example, if you roll a dice, there are 6 possible outcomes and each outcome has a probability of 1/6. In statistics, probabilities are used to make predictions and to analyze data. The use of probabilities is essential in fields such as insurance, finance, and decision making as it provides a framework for making decisions based on uncertain information. Probability is an important tool for understanding and making decisions about the world around us.

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Complete Question: -

Suppose that in a population of interest, a random variable education, which measures an individual's educational attainment in years, has a mean of 13.20 =13.2) and a variance of 9 o? = 9 ). The following questions all refer to properties of the sample mean of education ( education ) which is an estimator constructed from a random sample of size n = 100 drawn from the population. Question 4 1 pts The probability that the Z-transform is greater than 2 in absolute value Pr (Z] > 2) is approximately: O 2.5% 95% unknown O 5%

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

The ordered pair of coordinates is (0, 28)

To answer to the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year  and the y-axis represents the average temperature for that month.

We can read out this ordered pair from the attached graph

In conclusion, the graph displays the point on that line which is on the y-axis is (0, 28).

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

b

Step-by-step explanation:

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer: 5 and 27 as remainder

Step-by-step explanation:

the mean to be set to ensure a 95 per cent probability that a half-litre bottle will not be underfilled is 0.46 litre.

We need to know how the half-litre bottles were filled in order to respond to this query. Let's assume that the filling amounts are distributed normally, with mean and standard deviation being and, respectively.

This would ensure that there is a 95 per cent chance that a half-litre bottle will not be underfilled.

We may determine that the z-score for the left tail area of 0.025 using the usual normal distribution table or calculator is -1.96.

hence,

μ = 0.5 + (-1.96) * σ

where the predicted fill level for a half-litre bottle is 0.5 and the z-score for the 2.5th percentile of the normal distribution is -1.96.

To calculate, multiply 0.46 litres by (0.5 * (-1.96 * 0.02)) (rounded to 2 decimal places)

therefore,

A 0.46 litre mean filling capacity ensures that a half-litre bottle won't be underfilled 95% of the time.

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The equation be y = -250x + 5000 then the value of x be 18.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Two expressions joined by an equal sign form a mathematical statement known as an equation.

A condition on a variable (or variables) is a pair of expressions in the variable (or variables) that have the same value. The solution or root of the equation is the quantity at which the variable's value satisfies the equation. If you swap the LHS and RHS, an equation still makes sense.

Let the given equation be y = -250x + 5000

simplifying the above equation

−250x + 5000 = 500

Subtract 5000 from both sides, we get

−250x + 5000 − 5000 = 500 − 5000

−250x = −4500

Divide both sides by -250, we get

−250x/-250 = −4500/-250

Therefore, the value of x be 18.

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Answer:

The total of all three raises is $1,890. Jane's raise is $1,660 (4% of $41,400), John's raise is $1,980 (4.5% of $44,000), and Jack's raise is $1,250 (3% of $39,400).

Answer:

1 student.

Step-by-step explanation:

Two thirds of the students preferred chocolate ice cream:

2/3 of 36 is 24 students.

One fourth of the students preferred strawberry ice cream:

1/4 of 36 is 9.

9+24= 35

--------------------------------------------------------------------------------------

36-35=1

Only one student preferred vanilla ice-cream.

Answer:

1

Step-by-step explanation:

2/3 × 36

= 24 students preferred Choclate Ice cream

1/4 × 36

= 9 students prefer strawberry ice cream

total students who prefer Chocolate or Strawberry

9+24

=35

Remaining students

36-35

=1

only 1 student preferred vanilla ice cream