Tamarisk Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company's current truck (not the least of which is that it runs). The new truck would cost $56,619. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,100. At the end of eight years, the company will sell the truck for an estimated $28,500. Traditionally, the company has used a general rule that it should not accept a proposal unless it has a payback period that is less than 50% of the asset's estimated useful life. Thomas Anderson, a new manager, has suggested that the company should not rely only on the payback approach but should also use the net present value method when evaluating new projects. The company's cost of capital is 8%.

Answer:

C = 31.4159

A = 78.5398

Step-by-step explanation:

diameter = 10

radius = 5

plug into formula: C = 2π5

A = π * 5²

The solution of the system of equation is as follows:

The system of equation can be solved as follows:

6x + 4y = 10

-7x  - 3y  = 5

Hence, let's multiply equation(i) by 3 and multiply equation(ii) by 4

Therefore,

18x + 12y = 30

-28x - 12y = 20

add equation(ii) to equation(ii)

-10x = 50

y = 50 / -10

y = -5

Hence,

-7x  - 3y  = 5

-7x - 3(-5) = 5

-7x + 15 = 5

-7x = 5  - 15

-7x =  - 10

x = 10 / 7

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Solution

- The question asks us for the leading coefficient of the following polynomial

Explanation

Leading Coefficient:

- The Leading Coefficient is defined as the number multiplying the variable with the highest degree or exponent.

- In the case of this question, the variable is "y".

- The y-variable with the highest power is "y⁵", thus, the Leading coefficient is the number multiplying "y⁵". In this case, that number is 12.

- Thus, the Leading Coefficient is 12

Degree of the Polynomial:

- The degree of a polynomial is the highest power of the variable in the polynomial.

- This variable with the highest number is usually multiplying the Leading Coefficient.

- Thus, the Degree of the Polynomial is 5.

Final Answer

- The Leading Coefficient is 12.

- The Degree of the Polynomial is 5.

To find the next term of a geometric sequence, the previous term is multiplied by the common ratio r.

Given the following parameter

Mass of flour wheat flour = 1 1/2 kg

If Harry used 3/4 of these flour to bake bread, the amount of flour used is expressed as:

Convert the mixed fraction into an improper fraction to have:

This shows that Harry used 1 1/8kg of the wheat flour to bake the bread

7.-

Equation for Neil P = 80 + 3m

Equation for Barry P = 230 + 2m

8.-

Neil P = 80 + 3(100)

P = 80 + 300

P = $380

Barry P = 230 + 2(100)

P = 230 + 200

P = $430

10.-

P = 80 + 3m

P = 230 + 2m

80 + 3m = 230 + 2m

3m + 2m = 230 - 80

m = 150

Answer:

-2 1/4 or 2.25

Step-by-step explanation:

i hope this helped and ita also self explanitory

The gambler in a Las Vegas casino lost $150.

According to the question,

We have the following details:

The visitor lost $200 and $50 in a Las Vegas casino.

The visitor won $100.

So, in total, the visitor lost $250 overall.

Now, compare the amount the gambler lost and the gambler won in the casino. So, we notice that the gambler lost more amount.

Now, we will find the total amount lost:

Gambler's net worth = The amount lost - the amount won

Gambler's net worth = $(250-100)

Gambler's net worth = $150

Hence, the gambler lost $150 overall in the casino.

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ANSWER

86.67%

EXPLANATION

We want to find the probability that Kevin will arrive on time if he plans to take the subway.

To find this, we have to divide the number of times that Kevin was on-time by the total number of times that he took the measurement.

We have that out of 30 days that Kevin was on-time on 26 occasions.

Therefore, the probability that Kevin will arrive on-time the next day is:

That is the answer.

Answer:

Step-by-step explanation:

Let the dimensions be:

The area of rectangle is:

The second value of h is negative and therefore discarded.

So we get:

The probability of rolling a sum greater than or equal to 10 in rolling dice will be 1/6 or 0.1667.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

A standard pair of six-sided dice is rolled.

Since, All the possible outcomes are;

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6).

So, Total possible outcomes = 6 x 6 = 36

Now, The favorable outcomes which has sum greater than or equal to 10 are;

(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)

So, Number of favorable outcomes = 6

Thus, The probability of rolling a sum greater than or equal to 10 in rolling dice

= 6/36 = 1/6 = 0.1667

Therefore, The probability of rolling a sum greater than or equal to 10 in rolling dice will be 1/6 or 0.1667.

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The number is 22

What is a number?

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

4n - 25 = 63

or, 4n = 63 + 25

or, n = 88/4 = 22

Hence, the number is 22

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The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem can be expressed as, c2 = a2 + b2; where 'c' is the hypotenuse and 'a' and 'b' are the two legs of the triangle.

Answer:

Pythagoras theorem is a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The Pythagoras theorem equation is expressed as,

c²=a²+b²

where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two angles(opposite and adjacent)

Step-by-step explanation:

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The word problem of the expression is "Seven eighths of a number less three and a quarter is less than 2"

The inequality expression is given as

1/4 + 3 - 7/8x < 2

From the above expression, we can see that:

The right-hand side of the inequality is 2 and the inequality symbol is less than

This means that the word problem must end in "less than 2"

Next, we analyse the left-hand side

1/4 + 3 - 7/8x

A statement that represents the above is

Seven eighths of a number less three and a quarter is less than 2

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The cost of each game is $2.25.

The cost of each ride is $4.50.

Here are the system of linear equations that can be derived from the question:

7g + 2r = 24.75 equation 1

3g + 6r = 33.75 equation 2

Where:

In order to determine the value of g, multiply equation 1 by 3:

21g + 6r = 74.25 equation 3

Subtract equation 2 from equation 3:

40.50 = 18g

g = 40.50 / 18

g = 2.25

In order to determine the value of r, substitute for g in equation 1 :

7(2.25) + 2r = 24.75

15.75 + 2r = 24.75

2r = 24.75 - 15.75

2r = 9

r = 9 /2

r = 4.50

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The first tree is 28ft tall, and the second tree is 4 ft higher than the second one. Then we need to add 4ft to the height of the second tree:

The heigh of the first tree is 32ft

In the first one, the word increase means you will be add something

+42000

In the second one, the word withdrew means you will subtract something

-40

The formula indicates how the price of the meal after taxes is calculated.

Where

T is the total price

P is the price without taxes

r is the tax rate, this value is always expressed as a decimal value.

Amy paid a total of $30.60 plus a $10 gift certificate, the total cost of the bill is:

To express the tax rate as a decimal value you have to divide the percentage by 100:

Replace both values on the formula:

Now we have established an equation with one unknown "P", to solve the equation for P, the first step is to simplify both terms on the left side of the equation. To do so, add both terms:

Divide both sides by 1.09 to determine the value of P

The cost of the family's dinner before taxes w

Actual area of the real back yard is 96 [tex]m^{2}[/tex]

[scale]=[drawing]/[real] —-> [real]=[drawing]/[scale]

scale=4 m/3 cm —> 0.75 cm/m

The backyard's measurements in the drawing are 9 x 6 cm.

Determine the backyard's actual dimensions

[Real]=[Drawing]/[Scale] for 9 cm

[real]=[9]/[0.75]——> 12 m

[Real]=[Drawing]/[Scale] for 6 cm

[real]=[6]/[0.75]——> 8 m

The backyard's actual measurements are 8 m × 12 m, and its actual size is 8 * 12 = 96 [tex]m^{2}[/tex].

Therefore the original area  of the rectangle  is 96 [tex]m^{2}[/tex].

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The complete question is as follows:

Below is a scale representation of a piece of land. In the illustration, 3 cm stands in for 4 m. Find the actual backyard space assuming the back is rectangular?

The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5  .

In the question ,

it is given that

the required line is perpendicular to x = -4

the slope of x = -4

x + 4 = 0

0.y = x + 4

slope = 1/0

so the slope of the perpendicular line [tex]=[/tex] 0   .

the equation of the perpendicular line passing through (-2,5) and slope as 0  is

(y - 5) [tex]=[/tex] 0*(x + 2)

y -5 = 0

y = 5

Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5  .

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Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

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The diameter of the cone is d = 6 ft.

The height of cone is h = 8 ft.

Determine the radius of cone.

Determine the volume of cone.

So volume of cone is 72 feet cube.

Answer: 72

The angles that form a linear pair involving point F are:

a. ∠DFC and ∠CFG

d. ∠HFD and ∠CFD

A linear pair can be defined as the set of two angles that are adjacent to each other and share a common vertex and a common side, and also lie on a straight line.

Given the image in the question above, we see that:

Angle DFC and angle CFG share a common side FC and a common vertex point F, hence, they are adjacent angles that lie on a straight line, thus, they are a linear pair.

Angle HFD and angle CFD also share a common side FD and a common vertex point F. This makes them adjacent to each other. Also they are on a straight line. Therefore, angle HFD and angle CFD are a linear pair.

Thus, we can conclude that the angles that form a pair of angles that are classified as a linear pair are:

a. Angle DFC and angle CFG

d. Angle HFD and angle CFD

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Answer:

$425

Step-by-step explanation:

Equation can be written as follows:

c = 200 + 5m

Plug 45 in for m to get this:

c = 200 + 5(45)

Simplify!

c = 200 + 225

c = 425

Hope this helps :)

Commutative property:

For addition and multiplication if you change the order of the addernds or factor is doesn't change the sum or multiplication.

Example:

Addition

Multiplication:

Closure property:

When you add or subtract any two intergers, the result will always be an interger.

Example:

8, 13 and 21 are intergers

The given number is,

302.658

to corrct to 2 decimal places,

302.66.

Monthly payments and total loan costs on a 30-year loan at an APR of ​9% are 1027.27 and for a 15-year loan at an APR of ​8.5% are 1297.82.

Formula to computer the periodic payment for a loan with principal P, periodic interest rate R, and several payments T:

(P × R)([tex](1-(1+r)) ^{-T}[/tex])

Option 1, there are 30×12=360 monthly payments, and the monthly interest rate is 8%÷12.

By applying all the given values P=140000, R= 8%÷12 and T = 360 in P÷([tex](1-(1+r)) ^{-T}[/tex]),

(140000 × (9% ÷ 12))÷(1 - [tex](1 + \frac{9}{12} )^{-360}[/tex] ) = 1027.27

In option 2, there are 12 × 15 = 180 monthly payments, and the monthly interest rate is 7.5% ÷ 12. Applying the formula (P × R)([tex](1-(1+r)) ^{-T}[/tex]), the monthly payment is:

(140000 × (8.5% ÷ 12))÷(1 - [tex](1 + \frac{8.5}{12} )^{-180}[/tex] ) = 1297.82

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Answer:

Step-by-step explanation:

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

Now, using this rule, we get

Therefore, the coordinates of the image  A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

Consider that the reservation costs $625. Moreover, it is necessary to pay additional $11 per person for food. If x is the number of people, it means that it is necessary to pay 11x dollars for x people.

THen, the total cost is $625 plus 11x dollars. If y is the cost of the class pool party, you have the following algebraic equation which expresses the given situation:

y = 11x + 625

If there are 26 people in the party, that is, if x = 26, the cost is:

y = 11(26) + 625

y = 286 + 625

y = 911

Hence, the cost is $911

infinite numbers

Explanation

An Irrational Number is a real number that cannot be written as a simple fraction,for example Pi()

Step 1

between 0 an 6 we have 6 integers numbers :(1,2,3,4,5,6)

Step 2

Now check this

a number for example

so, the answer is infinite numbers