The probability that a randomly chosen sales prospect

Answer:

To determine how much you should invest to receive $100,000 on the maturity date, you will need to calculate the present value of the cash flows at the beginning of the investment. The present value is the amount of money you would need to invest today to receive a certain amount at a future date, taking into account the time value of money and the interest rate.

You can calculate the present value by using the formula:

PV = CF / (1 + r)^t

Where:

PV = present value

CF = cash flow (the amount you will receive at the maturity date)

r = interest rate

t = time (in years)

The first 18 months, the interest rate is 8% per year, which is equivalent to 8/12 = 0.67% per month.

The next 6 months, the interest rate is 1.5% per quarter, which is equivalent to 1.5/4 = 0.375% per month.

The last 12 months, the interest rate is 2% per semi-annual, which is equivalent to 2/2 = 1% per month.

For the first 18 months, the present value of the cash flow is:

PV = 100,000 / (1 + 0.0067)^(18/12) = 95,167

For the next 6 months, the present value of the cash flow is:

PV = 95,167 / (1 + 0.00375)^(6/12) = 94,853

For the last 12 months, the present value of the cash flow is:

PV = 94,853 / (1 + 0.01)^(12/12) = 94,853

So, to receive $100,000 on the maturity date, you should invest 94,853 dollars to the nearest dollar.

Answer:

26 and 27

Step-by-step explanation:

If the smaller integer is represented using the variable n, then the next consecutive integer is n + 1

3 times the smaller => 3n

2 times the larger => 2(n + 1 = 2n + 2

We are given 3 times the larger exceeds twice the smaller by 24 which can be represented as:

3n - (2n + 2) = 24

3n - 2n - 2 = 24

n - 2 = 24

n = 24 + 2 = 26

So the integers are 26 and 27

Answer:

what is this i do not know sorry so no 30 points right

Answer:255

Step-by-step explanation:

the plot is attached below and the slope is 4.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

The equation y = 4x + 3 models the data below.

x 1   2  3  4   5    6   7   8

y 8 13 16 21 26 29 33 37

The plot will be using this data.

Hence the plot is attached below and the slope is 4.

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Answer:

Step-by-step explanation:

Solving by factoring is a strategy used to solve quadratic in form polynomials, which are equations that can be written in the form of ax^2 + bx + c = 0. The goal of this strategy is to factor the equation into two binomials that are equal to zero. Once the equation is factored, we can use the zero product property to set each binomial equal to zero and solve for the roots or solutions of the equation.

The process of factoring begins by finding the greatest common factor of all the terms in the equation. Once the GCF is identified, it can be factored out of the equation. Next, we look for two binomials that multiply to give the remaining terms in the equation and add to give the remaining constant term.

For example, consider the equation: 3x^2 + 6x - 9 = 0.

To factor this equation, we first find the GCF of all the terms, which is 3. We can factor out 3 from all the terms, giving us: 3(x^2 + 2x - 3) = 0.

Now, we look for two binomials that multiply to give x^2 + 2x - 3 and add to give -2. We can see that (x-3)(x+1) satisfies this condition.

By factoring the equation, we have now factored the polynomial into (x-3)(x+1) = 0. We can use the zero product property to set each binomial equal to zero and solve for the roots: x-3 = 0 and x+1 = 0. The solutions are x=3 and x=-1.

By using the factoring strategy, we were able to solve the quadratic in form polynomial 3x^2 + 6x - 9 = 0 and find the roots x=3 and x=-1. This strategy can be applied to any quadratic in form polynomial and is a useful tool in solving equations.

The solution to the expression 5 2 (3x4) divided by 3-5 is -312

Fractions are simply described as part of a whole number or variable.

There are different types of fraction which includes;

PEMDAS is a mathematical acronym used to give the order of operations to be followed in solving expressions.

It stands for;

Given the expression;

52(3×4)/3 - 5

expand the parentheses

52(12)/-2

624/-2

Divide the values

-312

Hence, the values is -312

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Answer: y = 18

Sentence: The value of y that makes T Parallel to U is 18.

Step-by-step explanation:

We are given 3 expressions:

We know that since the angle (7x) is on the same line as the angle (3x + 36), we can therefore determine that they correspond to each other. I referred an image to help demonstrate this concept. So since they correspond to each other, that means they have the same value (meaning they are equal to each other).

We can set both expressions equal to each other.

7x = 3x + 36

And solve:

7x = 3x + 36

-3x   -3x

4x = 36

/4     /4

x = 9

now we know the value of x, we can plug it into one of the equations. We  can plug it in to 3x + 36 to help with the process in solving y.

3(9) + 36 = 63 degrees

Since 6y + 9 and 3x + 36 (63 degrees) are supplementary angles, we can subtract 180 from 63.

180 - 63 = 117

now we know that 117 degrees = 6y + 9 BUT!, we need to solve for y, because that's what the question is asking for.

So lets solve for y:

117 = 6y + 9

-9            -9

108 = 6y

/6       /6

y = 18

Answer:

see explanation

Step-by-step explanation:

the denominator of a rational expression cannot be zero as this would make the expression undefined.

equating the denominator to zero and solving gives the value/s that x cannot be.

1

4x = 0 ⇒ x = 0

x = 0 ← is an excluded value in the domain

2

8x + 3 = 0

8x = - 3

x = - [tex]\frac{3}{8}[/tex]

x = - [tex]\frac{3}{8}[/tex] ← is an excluded value in the domain

3

2 - 10x = 0

- 10x = - 2

x = [tex]\frac{-2}{-10}[/tex] = [tex]\frac{1}{5}[/tex]

x = [tex]\frac{1}{5}[/tex] ← is an excluded value in the domain

4

x + 12 = 0

x = - 12

x = - 12 ← is an excluded value in the domain

5

(2x - 1)(x + 6) = 0

equate each factor to zero and solve for x

2x - 1 = 0

2x = 1

x = [tex]\frac{1}{2}[/tex]

x + 6 = 0

x = - 6

x = - 6 and x = [tex]\frac{1}{2}[/tex] ← are excluded values in the domain

Answer:

-2x^2+5y^3+

Step-by-step explanation:

The resulting image of the triangle ABC after the transformations is given by the image presented at the end of the answer.

The vertices of the original triangle ABC are given as follows:

A(0,2), B(3,2), C (2,7).

First we have the reflection across the line x = 1, which is a vertical line, meaning that:

Hence the vertices after the reflection are given as follows:

A'(2,2), B'(-1,2), C'(0,7).

For example, a coordinate of 0 is one unit left of x = 1, hence the coordinate of the image will be one unit right, at x = 2.

The dilation with a scale factor of 2 centered at the origin means that the coordinates are multiplied by 2, hence:

A''(4,4), B''(-2,4), C''(0,14).

The vertices of the original triangle ABC are given as follows:

A(0,2), B(3,2), C (2,7).

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The length of the bottom diagram in the final tape diagram is 5.04 units.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

The top diagram length is 60 units.

20 % of the 60 units is carried down, the length of the new section is:

20/100 * 60 = 12units.

60% of the next 12 units are carried down, the length of the new section is:

60/100 * 12 = 7.2 units

Similarly, when 70% of the section is carried down the length of the new section is:

70/100 * 7.2 = 5.04 units.

Hence the length of the bottom diagram is 5.04 units.

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Answer:

Generally, figure the average person takes up 18 inches of space on a bleacher seat. That is the industry standard. Therefore, for 4-row bleachers, consider these lengths and seating capacity. 7.5 feet – 20 seats (90 inches divided by 18 inches equals 5 seats, times 4 rows equals 20 seats).

Step-by-step explanation:

Answer:

A = 12.5663706 yd2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2-(-2)

=2+2

=4

Answer: the difference when -2 is subtracted from 2 will be 4

Step-by-step explanation: according to question

                                               2 -(-2)

                                             =2+2    ( - + - = +)

                                             = 4

If the exchange rate is 1 U.S. dollar to 81 Japanese yen, to purchase something that costs 50 dollars, you would have to spend 50 x 81 = 4050 Japanese yen.

Answer: You would have to spend 4050 yen to buy something that costs 50 dollars.

Step-by-step explanation: Since we already know the amount of yen that's equal to a dollar, all we have to do is multiply that number by the amount of dollars being spent.

This gives us: 81 * 50 = 4050. You would have to spend 4050 yen to buy something that costs 50 dollars.

The amount that he will pay on March 10th is $1287 with interest rate.

The annual rate that is charged for borrowing (or made by investing), given as a single percentage number, represents the real yearly cost of money throughout the course of a loan.

Given that he is aware that he can begin loan repayment on a $7,500 loan in 4.5 years at the present interest rate of 4.29%, the following will be applicable:

4.29% of 7500 after the first year

4.29 × 7500/100

321.75

After the 4.5-year term, multiply the interest by 4.5 to determine the overall interest:

321.75 × 4

$1287.

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Step-by-step explanation:

16 transactions per hour (60 minutes).

in short :

16/1

or 16/60 (for minutes instead of 1 hour)

in 20 minutes 6 transactions.

so,

6/20

hour many transactions then in 1 hour (60 minutes) ?

60 = 20×3

so, to bring the ratio to 1 hour (60 minutes) we need to multiply the denominator by 3. and to keep the ratio value, we need to to do the same thing also to the numerator.

therefore,

6/20 × 3/3 = 18/60

so, the clerk will do 18 transactions per hour.

he will meet his goal of 16 : true

he will even exceed but definitely meet his goal.

12 transactions in 1 hour : false

9 transactions every half hour : true

as he will do 18 transactions in 1 hour, he will do half of these transactions (9) in half an hour.

96 transactions in 6 hours : false

18/1

6 = 1×6

so, with the same trick as above we get

18/1 × 6/6 = 108/6

and we see, he would complete 108 transactions in a 6- hour shift.

96 would be right, if the actual ratio would be 16/1 :

16/1 × 6/6 = 96/6

Answer:

  6

Step-by-step explanation:

You want to know how many chairs are usually around the table if 1 chair must be added to accommodate Mr. and Mrs. DiNapoli and their two sons and three daughters.

The number present for a family dinner is ...

  1 (Mr. DiNapoli) +1 (Mrs. DiNapoli) +2 (sons) +3 (daughters) = 7

If one chair is added to make 7, then there are usually ...

   7 - 1 = 6 . . . . chairs at the table

The equation which states that the population of a town is 20,000 and decreased by 2% each year is y=20000(1-0.2x)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Different Types of Equations

Linear Equation.

Radical Equation.

Exponential Equation.

Rational Equation.

Let the population be y and the of years be x

According to the question, the equation should be

y=20000(1-0.02x)

In 2025 the population will be

y=20000(1-0.02*25)

y=100000

The population will become 10000

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Answer:

1/70

Step-by-step explanation:

(63-40) (21-10) 23 11 23-22 1

(---------)-(--------)=------ - ------ = -------- = --

( 70 ) ( 35 ) 70 35 70 70

Answer:

Step-by-step explanation:

Using the Law of Cosines, we can find the remaining angle measures of the triangle.

Angle D = cos-1[(25^2 - 8^2 - (25^2 * cos(131°)))/(-2*8*25)] = 20.5°

Angle E = cos-1[(8^2 - 25^2 - (8^2 * cos(131°)))/(-2*25*8)] = 61.4°

Angle F = 180° - (20.5° + 61.4°) = 98.1°

Round to the nearest tenth:

Angle D = 20.5°

Angle E = 61.4°

Angle F = 98.1°

They intersect in the 2nd quadrant. Only one answer choice (–0.3, 2.1)

Horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.

The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.

The y-intercept is found by setting x=0 and solving for y:

x +5y = 10

 0 + 5y = 10

 y = 10/5 = 2

3x +y = 1

 3·0 +y = 1

 y = 1

The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply: (–0.3, 2.1)

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Converting within measurement systems means that we are changing the unit of measurement from one to another.

It is referred to as converting units within measuring systems if we do it using the metric or conventional systems. The conventional system and the metric system are the two most widely used measurement systems. In other words, we are not converting units from customary to metric or vice versa.

Simple unit conversions can be performed mentally or with one-step multiplication or division. There are, however, more difficult conversions that call for many conversions between a wide range of units.

The Unit Factor Method, another name for the Dimensional Analysis process, is a mathematical technique that takes advantage of the fact that any number or statement may be multiplied by "one" without changing its value. By multiplying the previous measurement by one (or more) different representations of the number 1, you can convert units. Although the measurement's value is unaffected by the factor of 1, the measurement's units are.

A ratio of one is referred to as a conversion ratio or unit factor. The names of the units that will be used in the conversion are listed in this ratio. It can be used to convert values both within the English and Metric Systems and between the two. The idea of equivalent values serves as the foundation for the conversion ratio.

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Complete question:

What do you mean by converting within measurement systems?

Answer:

Step-by-step explanation:

Convert a liter or liters what how ever many the question says to fl oz. 1 liter= 33.814, so if you need to minus 2 cups then just minus 16 fl oz, from 33.814, or the given amount in the question.

Answer:

Step-by-step explanation:

1. convert fl oz to liters using a conversion factor

2. 1 liter = 33.814 fl oz approx

3. you must divide the # of fl oz by 33.814

4. For example, if you wanted to subtract 20 fl oz from 3 liters, you would first convert the 20 fl oz to liters: 20 fl oz/33.814 = 2.406

5. Then you would subtract the converted fl oz from the liters: 3 liters-0.594 liters= 2.406 liters

20 fl oz = 0.594 liters, and 3 liters minus 0.594 liters equals 2.406 liters

Hope this helps!

Answer:

35.87

Step-by-step explanation:

First, what is 7.86 by 4.564?
It is 35.87304.

But the answer needs to be in significant figures, so how do we do that?

Well, significant figures are the numbers that comes after the decimal place. For example, 0.52, which has 2 significant figures.

So with 7.86, there are 2 significant figures and with 4.565, there are 3.

We want to use the one with the least amount of significant figures, so we would round our answer to the hundredth:

35.87

Hope this helps!

The required answer is 35.8730

The number of significant figures in a measurement represents the level of precision in that measurement. In general, the last digit in a number is considered uncertain and is rounded based on the number of significant figures.

When performing arithmetic calculations, the result should be rounded to the same number of significant figures as the least precise measurement used in the calculation.

In this case, the least precise measurement is 4.564, with four significant figures. Therefore, the final result of the calculation 7.86 x 4.564 should be reported with four significant figures.

The answer is 35.87304 and should be reported as 35.8730

(Please mark my answer Brainliest if this helped.)

Answer: We know that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using the triangle inequality theorem, we can set up the following inequality:

BD + BC > CD

7x - 10 + 4x - 29 > 5x - 9

Simplifying, we get:

11x - 39 > 5x - 9

Subtracting 5x from both sides, we get:

6x - 39 > -9

Adding 39 to both sides, we get:

6x > 30

Dividing by 6 from both sides, we get:

x > 5

So x must be greater than 5.

To find the value of BD, we can substitute the value of x in the equation:

BD = 7x - 10

BD = 7(5) - 10 = 25 - 10 = 15

To find the value of BC, we can substitute the value of x in the equation:

BC = 4x - 29

BC = 4(5) - 29 = 20 - 29 = -9

To find the value of CD, we can substitute the value of x in the equation:

CD = 5x - 9

CD = 5(5) - 9 = 25 - 9 = 16

So, BD = 15, BC = -9, CD = 16

Step-by-step explanation: