What is the future value of $2,500 deposited for one year earning a 14 percent interest rate annually

The proportional equation for the given graph would be y = 2. 5 x

The proportional equation takes the form :

y = mx

Where:

m = slope or the change in y as a result of x

The value of the slope is :

= Change in y / Change in x

= ( 15 - 0 ) / ( 6 - 0 )

= 15 / 6

= 2. 5

The proportional equation is:

y = 2. 5 x

In conclusion, the proportional equation would be y = 2. 5 x .

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Answer:

2√3

Step-by-step explanation:

Area of equilateral triangle is

A = (√3/4) a^2

If A = 3√3

=> 3√3 = (√3/4) a^2

3 = a^2/4

a^2 = 12

a = √12 = 2√3

The area of the parallelogram with base 50 ft and height 37 ft is 1850 sq. ft.

The region or space a parallelogram occupies in a two-dimensional plane is known as the area of a parallelogram. A particular kind of quadrilateral is a parallelogram. A quadrilateral is referred to as a parallelogram if it has two sets of parallel opposite sides. A parallelogram can be anything from a rectangle to a square to a rhombus. Shapes—2D or 3D—are the foundation of geometry. Each of these forms has a unique set of features and uses a separate area formula.

The area of the parallelogram is given by the formula:

A = (b)(h)

Given that,

b = 50 ft

h = 37 ft

Substitute the values in the equation of area:

A = (50)(37)

A = 1850 sq. ft

Hence, the area of the parallelogram is 1850 sq. ft.

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We discover that only the equation associated with answer option D meets all four criteria and has the right vertex:

[tex]y = -2(x - 2)^2 - 6[/tex]

The supplied coordinates (-1, 7), (0, 0), (4, 0), and are all on the graph of this equation, which has a vertex at (2, -6) (5, 7). Hence, D is the right response.

The equation is a mathematical and physical statement that defines physical occurrences. It usually consists of a variable that only presents a physical quantity, with a possible personal variable such as your energy being pointed out.

The function y = x2 - 6 provides the answer to this equation. The vertex of the parabola is (2, -6), which may be determined by calculating the equation's derivative and setting it to 0. The graph includes the coordinates (- 1, 7), (0, 0), (4, 0), and (5, 7) because they are the answers to the equation.

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Answer:  22.50

Step-by-step explanation:

25 x 0.1

25 - 2.5

Answer:

The correct answer is 22.50

The probability that at least one of the students will select a president who did not serve in the military is 1.00.

The probability that a student selects a president who did serve in the military is:

P(selects military president) = 31/43

Therefore, the probability that a student selects a president who did not serve in the military is:

P(selects non-military president) = 1 - 31/43 = 12/43

The probability that none of the 888 students select a non-military president is:

P(none select non-military president) = (31/43)^{888}

Therefore, the probability that at least one of the students will select a president who did not serve in the military is:

P(\text{at least one not in military}) = 1 - P(none select non-military president) = 1 - (31/43)^{888} ≈ 0.9996

Rounded to the nearest hundredth, the probability is 1.00.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of flipping a fair coin and it landing on heads is 0.5 or 50%, while the probability of rolling a 7 on a standard six-sided die is 6/36 or 1/6, since there are six ways to roll a 7 out of 36 possible outcomes. Probability theory is used in many fields, including statistics, mathematics, science, finance, and engineering, to model and analyze random events and to make predictions based on data.

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The supplied statement states that the candle would reach a height of 14.85 cm after 24 hours.

The terms "altitude" and "elevation" refer to the vertical distance between something's top and bottom or its base and it's something above it. Height is used to describe everything that may be measured vertically, high or low.

Let Y = height.

let X equal time

Y = mX + b, where the slope of m & b is the y-intercept, denotes the linear relationship between height and time.

We can determine the slope using the information provided (13, 15.4) and (29, 6.5)

Slope = (y2 - y1) / (x2 - x1) = (6.5 - 15.4) / (29 - 13) = -8.9 / 16 = -0.55

This indicates that the candle is losing height at a rate of 0.55 cm each hour.

As the first grid cell of 24 hours comes 13 hours afterwards, (13, 15.4), the height will go down by 13 * (-0.55) = -7.15 cm in the 13 hours between hour 13 and hour 24.

Hence, the candle's height 24 hours later = 15.4 - 0.55 = 14.85 centimeters

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Answer:

Step-by-step explanation:

To find the zeros of F(x), we need to solve the equation F(x) = 0.

F(x) = x^2(x^2+18x+81)

The expression F(x) can be factored as:

F(x) = x^2(x+9)^2

So, the zeros of F(x) are x = 0 and x = -9, with a multiplicity of 2 for both.

The factor x^2 contributes to a zero of multiplicity 2, which means that the graph of F(x) touches the x-axis at x = 0 but does not cross it. The factor (x+9)^2 also contributes to a zero of multiplicity 2, which means that the graph of F(x) touches the x-axis at x = -9 but does not cross it.

To summarize, the zeros and their multiplicities for F(x) are:

x = 0 (multiplicity 2)

x = -9 (multiplicity 2)

The possible lengths of side AB as required to be determined in the task content are; 17.2, 15.59 and 8.

It follows from the task content that the length measures which are possible for side AB be determined.

By the triangle inequality theorem;

AB < 7 + 12; AB < 19

and

AB > 12 - 7; AB > 5

On this note, 5 < AB < 19.

Consequently, the possible lengths of side AB as required are; 17.2, 15.59 and 8.

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According to my previous knowledge, I consider that my face is not very in accordance with the beauty canon of Classical Greece because my skin tone is much darker, my eyes are dark in color and my nose is not upturned.

A canon or beauty standard is a term that refers to a reference model that is established as a point of comparison to evaluate the beauty of a person. Throughout history beauty standards have evolved and have included different characteristics.

In the case of Classical Greece, beauty standards included different characteristics such as:

According to the above, I would not be beautiful in ancient Greece because my physical characteristics are different from what they considered to be beautiful.

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Answer:

The correct answer is (d) 1900.

Step-by-step explanation:

here's a step-by-step explanation of how to arrive at the correct answer:

Step 1: Identify the total expenses for the month of November

From the given ledger, we can see that there are two entries for expenses in the month of November: $1,000 on November 5 and $900 on November 15. To find the total expenses for the month, we add these two amounts: $1,000 + $900 = $1,900.

Step 2: Determine the balance of the expenses account

In the ledger, both entries for expenses are listed as debits. Since debits increase the balance of expense accounts, the balance of the expenses account is the total of the debits, which is $1,900.

Step 3: Create the closing entry

The purpose of the closing entry is to transfer the balance of the expenses account to the income summary account. Since the expenses account has a debit balance of $1,900, we need to credit the expenses account for this amount and debit the income summary account for the same amount. This will reduce the balance of the expenses account to zero and transfer the total expenses for the month to the income summary account. The closing entry is:

Expenses 1,900 (credit)

Income Summary 1,900 (debit)

Step 4: Check the options to find the correct answer

From the given options, we can see that option (d) 1900 is the correct answer, as it matches the amount of the closing entry we calculated in Step 3.

Therefore, the correct answer is (d) 1900.

Answer:

P = 15 + 24y

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all four sides. If one side of the rectangle has a length of 7.5 and the other side has a length of 12y, we can write the expression for the perimeter as:

P = 2(7.5) + 2(12y)

Simplifying this expression, we get:

P = 15 + 24y

Therefore, the simplified expression for the perimeter of the rectangle with one side of length 7.5 and the other side of length 12y is 15 + 24y.

The experimental probability that the next student to respond likes Hamlet best is 1/6 or 0.1667 as a decimal.

In this problem, we are given the results of a survey conducted in an English class to determine which Shakespeare play the students liked the best. The teacher recorded the number of students who liked each of the three plays: Hamlet, Twelfth Night, and A Midsummer Night's Dream.

To calculate the experimental probability, we first need to find the total number of students who have responded to the survey so far. From the information given, we know that 2 students liked Hamlet best, 8 students liked Twelfth Night best, and 2 students liked A Midsummer Night's Dream best. Therefore, the total number of students who have responded so far is: 2 + 8 + 2 = 12

Next, we need to determine how many of these 12 students liked Hamlet best. We know from the data given that 2 students liked Hamlet best, so the number of students who liked Hamlet best is: 2

Finally, we can calculate the experimental probability that the next student to respond likes Hamlet best. We do this by dividing the number of students who liked Hamlet best (2) by the total number of students who have responded so far (12): 2/12

Simplifying this fraction, we get: 1/6

Therefore, the experimental probability that the next student to respond likes Hamlet best is 1/6 or 0.1667 as a decimal. This means that if we were to randomly select a student from the class and ask them which Shakespeare play they liked the best, there is a 1 in 6 chance that they would choose Hamlet.

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The correct statement is:

E) There is exactly one solution at (1, -2).

What is equation ?

An equation is a mathematical statement that indicates that two expressions are equal. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An equation typically consists of two sides separated by an equal sign (=). The values of the variables that make the equation true are called solutions or roots of the equation. Equations are used to model a wide range of phenomena in mathematics, science, engineering, and other fields, and they play a central role in problem-solving and mathematical analysis.

According to given conditions:

To solve the system of equations:

y = 4x - 6 ...(1)

x + 3y = -5 ...(2)

We can use substitution or elimination method. Here, we will use the substitution method:

From equation (1), we have y = 4x - 6.

Substitute y = 4x - 6 in equation (2):

x + 3(4x - 6) = -5

Simplifying the above equation, we get:

13x - 18 = -5

Adding 18 on both sides, we get:

13x = 13

Dividing both sides by 13, we get:

x = 1

Substitute x = 1 in equation (1):

y = 4(1) - 6 = -2

Therefore, the solution to the system of equations is (1, -2).

So, the correct statement is:

A) There is exactly one solution at (0, -6). (Incorrect)

B) There is exactly one solution at (12). (Incorrect)

C) There is no solution. (Incorrect)

D) There are infinitely many solutions. (Incorrect)

The correct statement is:

E) There is exactly one solution at (1, -2).

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Person's diastolic blood pressure at 6:00am is  94.5 mmHg.

Diastolic blood pressure is the lower number in a blood pressure reading. It indicates the pressure in the arteries when the heart muscle is resting between beats and refilling with blood. A normal diastolic blood pressure is between 80 and 90 mmHg (millimeters of mercury).

For example, if a person's blood pressure reading is 120/80 mmHg, the diastolic blood pressure is 80 mmHg. This means that the pressure in the arteries when the heart is at rest is 80 mmHg. High diastolic blood pressure (greater than 90 mmHg) is a risk factor for heart attack, stroke, and other cardiovascular problems.

The formula for diastolic blood pressure at time t is given by B(t) = 90 + 9 sin(t/12). To find the diastolic blood pressure at 6:00am, need to plug in t = 6 into the formula.

B(6) = 90 + 9 sin(6/12) = 90 + 9 sin(0.5) = 90 + 9(0.4794) = 94.5 mmHg.

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The water level is falling at a rate of approximately 0.152 centimeters per hour.

The radius r of the circular base is given as 2 meters, or 200 centimeters. Substituting this and rearranging the above equation, we get:

dh/dt = (dV/dt)/(πr²) = (-2000 cm³/min)/(π(200 cm)²) ≈ -0.00253 cm/min

To find the rate of change of water level in centimeters per hour, we can convert the above result to centimeters per hour by multiplying it by 60:

dh/dt ≈ -0.00253 cm/min × 60 min/hour ≈ -0.152 cm/hour

Therefore, the water level is falling at a rate of approximately 0.152 centimeters per hour.

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Answer:

Examples below

Step-by-step explanation:

How many milliseconds are in 3.25 days?  

How many grams are in 12.6 ounces ?

How many meters are in 2 3/4 miles ?

Answer:

x = 2

Step-by-step explanation:

The number multiplied by the difference of 4 and 3 and one half will give the product to one" can be written as:

x * (4 - 3.5) = 1

Simplifying the expression within the parentheses, we get:

x * 0.5 = 1

Dividing both sides of the equation by 0.5, we get:

x = 2

Therefore, the number multiplied by the difference of 4 and 3 and one half that will give the product to one is 2.

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Answer:

Step-by-step explanation:

75 x 2 = 150mph

150 x 8 = 1200 miles

The train will travel 1200 miles in 8 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

If the train travels 75 miles in 1/2 hour, we can use this information to find the train's speed:

Speed = Distance/Time

Speed = 75 miles / 0.5 hour

Speed = 150 miles/hour

Now that we know the speed of the train, we can use it to find how many miles the train will travel in 8 hours:

Distance = Speed x Time

Distance = 150 miles/hour x 8 hours

Distance = 1200 miles

Therefore, the train will travel 1200 miles in 8 hours.

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You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.

aggregating attempting to quantify the number, maximum count, or time needed. The sum in front of you or being contemplated about is quite active. the overall verdict, its impact, or its import. three accountings: initial, interest, and indeed the third. Word equivalents include amounts, amounting, and amount. supple noun How much something is, how many you have, what you're using, or even how much you get is its quantity. He needs as much cash to get by.

given

owe $378.12 on your credit card

past due charge of $25

limit fee of $50

$378.12- ($25 + $50 )

= $378.12 - $75

= $303.12

You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.

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We have shown that when the input value increases from x to x + 1 the output values h(x + 1) and h(x) have a quotient of 4

To show that when the input value increases from x to x+1, the output values h(x+1) and h(x) have a quotient of 4, we need to show that:

{h(x+1) - h(x)}/{1} = 4

Which simplifies to:

h(x+1) - h(x) = 4

If we assume that h is a differentiable function, we can use the mean value theorem to prove this.

By the mean value theorem, there exists a number c between x and x+1 such that:

h(x+1) - h(x) = h'(c)

Where h'(c) is the derivative of h evaluated at c.

Since h'(x) is the rate of change of h with respect to x, we can interpret the equation h(x+1) - h(x) = h'(c) as saying that the change in h over the interval from x to x+1 is equal to the instantaneous rate of change of h at some point c in that interval.

If we assume that h'(x) = 4 for all x, then we have:

h'(c) = 4

For any c between x and x+1. Substituting this into the equation above, we get:

h(x+1) - h(x) = 4

which is what we wanted to show.

Hence, if h is a differentiable function and h'(x) = 4 for all x, then when the input value increases from x to x+1, the output values h(x+1) and h(x) have a quotient of 4

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Answer:The correct equations are y²-5y=750, 750-y(y-5)=0 ,(y+25)(y-30)=0

Step-by-step explanation: Let the length=y

                                                   breadth=y-5

area of rectangle= length*breadth

750=y(y-5)

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Answer:

linear function

(last option)

Step-by-step explanation:

We can see from the table that, as x increases by one unit, y decreases by 4 units

Therefore the slope (rate of change of y wrt x) is constant and = - 4

Hence linear

Answer:

A. there is nothing wrong with either division problem

Step-by-step explanation:

The amplitude, period and frequency are 1, 2π and 1/2π

From the question, we have the following parameters that can be used in our computation:

f(x) = sin(x - π/2) - 2

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/1

Period = 2π

For the frequency, we have

frequency = 1/Period

frequency  = 1/2π

Hence, the frequency is 1/2π

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Answer:

1/3 or 0.3 repeated

Step-by-step explanation:

The formula is y2 minus y1 over x2 minus x1.

It is going to look like this for you:

9 - 7

_____

8 - 2

You are going to get 2/6 as your answer, which is 1/3 or 0.3 repeated.