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Answer:

3 and 1/4

Step-by-step explanation:

Answer:

£2080.00

Step-by-step explanation:

4.2%*4= 16.8%

16.8%*2500= 420

2500-420= 2080

The value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.

The rate of depreciation is the percentage by which the value of an asset decreases over time.

To calculate the value of the car after 4 years, we need to apply the depreciation rate of 4.2% to the original value of £2500 for each year.

First, we can calculate the value of the car after one year:

Value after one year = £2500 - 4.2% of £2500

= £2500 - 0.042 x £2500

= £2500 - £105

= £2395

Then, we can use this value as the starting point to calculate the value after two years,

Value after two years = £2395 - 4.2% of £2395

= £2395 - 0.042 x £2395

= £2395 - £100.29

= £2294.71

Similarly, we can repeat this process for the third and fourth years:

Value after three years = £2198.26

Value after four years = £2105.80

Therefore, the value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.

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Answer:

10 miles long

Step-by-step explanation:

The length of the circular trail is calculated as: 10 miles.

We are told that Arthur walked around a circular trail twice in a total of 4.5 hrs.

Thus, he completed two full loops around the circular trail. Let's call the distance of the trail "d" (in miles) and the time it took for the first loop "t1" hours, and the time it took for the second loop "t2" hours.

So, we have:

t₁ + t₂ = 4.5

He walked the circle at 4 mph the first time and at 5 mph the second time.

The distance traveled is given by the formula:

Distance = Speed × Time.

For the first loop:

d = 4t₁

For the second loop:

d = 5t₂

From Equation 2 and Equation 3, we can set up an equation relating t₁ and t2:

4t₁ = 5t₂

Now, we can solve for t₁ in terms of t₂:

t₁ = (5/4)t₂

Substitute this value of t1 into Equation 1:

(5/4)t₂ + t₂ = 4.5

Combine the terms:

(9/4)t₂ = 4.5

Now, solve for t₂:

t₂ = (4.5 * 4) / 9

t₂ = 2

Now that we have the value of t₂, we can find t₁ using the equation

t₁ = (5/4)t₂

t₁  = (5/4) * 2

t₁  = 2.5

Now we can find the length of the trail using either Equation 2 or Equation 3:

d = 4t₁

d = 4 * 2.5

d = 10

So, the length of the circular trail is 10 miles.

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9514 1404 393

Answer:

  65 feet

Step-by-step explanation:

The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.

The perimeter of a rectangle is given by the formula ...

  P = 2(L+W)

For Aubrey's 12' × 8' room, the perimeter is ...

  P = 2(12' +8') = 40'

This is the length of the border Aubrey needs at the ceiling.

__

At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...

  3' + 4' + 3' + 5' = 15'

So, the waist-high border is 40' -15' = 25'.

__

The total amount of border Aubrey needs is ...

  ceiling border + waist-high border = 40' + 25' = 65'.

Aubrey needs 65 feet of border.

Answer:

I inch per hour for 2 hours = 2 inches

2 inches per hour for 6 hours = 6*2 = 12 inches

1 inch per hour for 1 hour = 1 inch

2+12+1 = 15 inches of snow total

Step-by-step explanation:

credit to: musiclover10045

Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.

The factored form of the expression x^2 y^3 - 2y^3 - 2x^2 + 4 is (x^2 - 2)(y^3 - 2).

To find the factored form of the expression x^2 y^3 - 2y^3 - 2x^2 + 4, we can begin by grouping the terms. Notice that both x^2 y^3 and -2y^3 have a common factor of y^3, and -2x^2 and +4 have a common factor of 2. Factoring out these common factors, we get:

y^3 (x^2 - 2) - 2 (x^2 - 2)

Now, we can observe that (x^2 - 2) is a common factor of both terms. By factoring out this common factor, we obtain:

(x^2 - 2)(y^3 - 2)

In this factored form, we can see that the expression has been written as a product of two binomial factors. The first factor, (x^2 - 2), represents the common factor shared by the terms involving x, while the second factor, (y^3 - 2), represents the common factor shared by the terms involving y. By factoring the expression, we have simplified it and expressed it in a more concise form that helps us understand its structure and relationships between the terms.

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Answer:

The answer is -2

Step-by-step explanation:

When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.

The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.

To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.

Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.

We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.

Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.

\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)

Therefore, the correct answer is (a) 0.5905.

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Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is \(x=\frac{9}{2}\)

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

Answer:

15x = y

Step-by-step explanation:

15 times the gallons of gas =  miles

15x = y

Answer:

\(b = \frac{3v}{h} \)

Answer:

Step-by-step explanation:

First you multiple both sides by 3

3v=Bh

Than divide by h

You get

3v/h=B

Answer:

216

HOPE THIS HELPS

PLS GIVE BRAINLIEST

This binomial can be factored as a difference of two squares. Taking the square root of each term, we get:

Difference of two squares formula

Substituting with the values of a and b found, we get:

The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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Answer:

answer is 1/3x

Step-by-step explanation:

now u might wonder shouldnt 40/3 be in there? no. Because if you divide 40 by 3 you get between 13-14 its a decimal, and the first point you get is not a decimal its a whoel number and from what we see there is no y axis cross point. if this is wrong im sorry but this is what i truely belivee

Answer:

20/35/50/65

the answer is 1/3x

Step-by-step explanation:

ok make me Brainliest

Answer:

1 year data analysis of input and output

Answer:

Step-by-step explanation:

I think it’s a

Answer:

the answer is D

Step-by-step explanation:

hopes it helped^^

Answer:

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line

Step-by-step explanation:

u single?

Answer:

Step-by-step explanation:

_3x_13 =_7x+15 what is the anSWER?

assuming that the underscore is a minus and you are looking for the x value.

-3x - 13 = -7 + 15

-3x = -7 + 15 + 13

-3x = 8 + 13

-3x = 21

x = -7

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

check

-3 * (-7) - 13 = -7 + 15

21 - 13 = 8

8 = 8

the answer is good

Given the following expression:

Rewriting this using the distributive property of multiplication over addition will be:

Therefore, the answer is letter B - 10(3) + 10(2)

McDonald's uses Collaborative Planning, Forecasting, and Replenishment (CPFR) to optimize its supply chain operations, employing time series and linear trend forecasting for accurate demand projections and efficient inventory management.

In conclusion, McDonald's uses CPFR and time series/linear trend forecasting to optimize the supply chain, improve inventory management, and enhance customer satisfaction.

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Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

\(Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

\(Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}\)

\(Distance=\sqrt{(9)^2+(0)^2}\)

\(Distance=\sqrt{81+0}\)

\(Distance=9\)

So, the distance between the two points is 9 units.

The main difference between vulnerability scanning and penetration testing is a  vulnerability scan is an automated, high-level test that looks for and reports potential vulnerabilities. A penetration test is a detailed hands-on examination by a real person that tries to detect and exploit weaknesses in your system.

vulnerability scanning:

These scans are typically automated and give a beginning look at what could possibly be exploited.

High-quality vulnerability scans can search for over 50,000 vulnerabilities and are required as per PCI DSS, FFIEC, and GLBA mandates.

penetration testing:

A penetration test simulates a hacker attempting to get into a business system through hands-on research and the exploitation of vulnerabilities. Actual analysts, often called ethical hackers, search for vulnerabilities and then try to prove that they can be exploited. Using methods like password cracking, buffer overflow, and SQL injection, they attempt to compromise and extract data from a network in a non damaging way.

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Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \(\frac{1}{3}\)  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   \(1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}\)

for    \(10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}\)

\(=2.5\ \text{cup}\)

Answer:

2.5

Step-by-step explanation:

(0,0)

Step-by-step I took the test