Becky buy a car for £25000
The car value of thi car will depreciate
By 20% at the end of the firt year
And then 12% at the end of every year after the firt year
Work out the value of the car at the end of the three year

A student can take one of each subject in 40 different ways as calculated using the properties of permutation and combination..

So there are four separate math classes, five different science courses, and two different history courses.

There are now 4 ways to complete a math course.

There are 5 different ways to take science courses.

There are two ways to take a history course.

Total ways are now calculated as the product of the potential ways for each course, which equals 4 × 5 x 2 or 40 ways.

As a result, there are 40 possible combinations for three subjects.

In mathematics, a permutation of a set is, if the set also has an ordered structure, the rearranging of its members into a sequence or linear order. The technique of altering an ordered set's linear order is known as permutation.

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the Area will be 280 inch².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The base of triangle = 20inch

The height of triangle  = 14inch

Area is = (base * height) =  (20*14)

Area = 280 inch²

Hence the Area will be 280inch²

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Answer:

6115

Explanation:

[tex]70000(1-0.15)^{15} \approx 6115[/tex]

The system of equation 2x + 6y = 10 , x = 8 - 3y has no solution.

System of equation can be solved using different method such as substitution method, elimination method and graphical method.

Let's use substitution method to solve the system of equation as follows:

2x + 6y = 10

x = 8 - 3y

substitute equation(ii) in equation(i)

2(8 - 3y) + 6y = 10

16 - 6y + 6y = 10

16 + 0 = 10

Therefore, the equation has no solution.

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The graph of the line that represents the given equation, 3x - 4y = 8, is shown below

From the question, we are to graph the line that represents the given equation.

The given equation is

3x - 4y = 8

To graph the line, we will determine x-intercept and y intercept of the line.

The x-intercept in the point where y equals zero on the line

and

The y-intercept in the point where x equals zero on the line

Determining the x-intercept

3x - 4y = 8

Set y = 0

3x - 4(0) = 8

3x = 8

x = 8/3

The x-intercept is (8/3, 0)

Determining the y-intercept

3x - 4y = 8

Set x = 0

3(0) - 4y = 8

-4y = 8

y = 8/-4

y = -2

The y-intercept is (0, -2)

Using the x-intercept and y-intercept, the graph of the line is shown below

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Answer: 40% increase

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

26.5 + 26.5(1 + x) = 37.1

26.5 + 26.5x = 37.1

26.5x = 37.1 - 26.5

26.5x = 10.6

x = 10.6/26.5 = 0.40

0.40 x 100 = 40%

Answer:

Step-by-step explanation:

First of all let's look at the side lengths of both figures.

Let's see how the corresponding sides relate:-

[tex]\sf 6*\cfrac{1}{3} =3[/tex]

[tex]\sf 3*\cfrac{1}{3} =1[/tex]

We can see that all sides scale by the same factor of 1/3.

Therefore, YES A is a scaled copy of Figure B.

______________________

Hope this helps!

Have a great day!

No cup of ketchup remains.

Brown Sugar =1/4 C

Cider Vinegar = 1/2 C

Ground Cumin = 1tsp

Ketchup           = 2/3 C

Pepper             = 1tsp

Total Quantity of Ketchup =9 cups

1 batch of barbecue sauce =2/3 Cup

x batch of barbecue sauce =9 Cups

x batch of barbecue sauce = 9 Cups *1 batch of barbecue sauce

                                                               2/3 Cup

x batch of barbecue sauce =13[tex]\frac{1}2}[/tex] batches

we know that;

1 batch of barbecue sauce =2/3 Cup

Therefore,

The total number of ketchup Cups used = Total  batch of barbecue sauce *quantity for1 batch of barbecue sauce

               =       13[tex]\frac{1}2}[/tex] batches * 2/3 Cup

The total number of ketchup Cups used =  9 Cups  

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The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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The expression of the radius is √3v/πx

The equation of the volume is given as

v = 1/3πr²x

Where

r= radius

x = height

So, we have

v = 1/3πr²x

Multiply both sides of the equation by 3

This gives

3v = πr²x

Divide both sides of the equation by πx

So, we have the following representation

3v/πx = r²

Take the square root of both sides

r = √3v/πx

Hence, the radius expression is √3v/πx

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Answer:

6115

Explanation:

[tex]70000(1-0.15)^{15} \approx 6115[/tex]

Answer:145,003 59

Step-by-step explanation:

he population 2016, this is more precise, will be 145116 people. If you just rounded the value of X to population growth rate to 1.176, then the population Uh in 2016 is 145,003 59.

Answer:

98.6

Step-by-step explanation:

in photo!!

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

Step-by-step explanation:

9 miles per gallon of gas is used in his car.

The standard volume and capacity for measuring liquids is the gallon.The word gallon is shortened to gal.Currently, there is only one definition for the gallon in the imperial system and two that is dry and liquid in the US customary system.

Here the given information is as,

Car travels = 144 miles

Tank hold gas = 16 gallons

So, for miles per hour,

= 144 / 16

= 9 miles / gallon

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The Java code that follows inserts the code into the main function so that the result may be obtained. It incorporated the appropriate questions related to pet so that users could choose the data they should fill in.

Proper class naming and naming practises provide the following advantages:

Even if you aren't the person who developed it or if it was written a long time ago, you know what to anticipate from a specific class without looking at code or documentation.

A codebase is simple to find and traverse.

Speaking with your team about issues or improvements is simpler.

It facilitates newbie onboarding and reduces confusion.

A correctly utilised MVP with a defined name standard is generally a nice illustration of working name expectations. You would anticipate that a class named UseCase/Interactor would provide business logic.

How to solve?

import java.util.Scanner;

public class PetInformation {

 public static void main(String[] args) {

      Scanner scnr = new Scanner(System.in);

      String petName, dogName;

      String dogBreed = "null";

      int petAge, dogAge;

      Pet myPet = new Pet();

      System.out.println("Enter Pet Name:");

      petName = scnr.nextLine();

      System.out.println("Enter Pet Age:");

      petAge = scnr.nextInt();

      Dog myDog = new Dog();

      System.out.println("Enter Dog Name:");

      dogName = scnr.next();

      System.out.println("Enter Dog Age:");

      dogAge = scnr.nextInt();

      scnr.nextLine();

      System.out.println("Enter Dog Breed:");

      dogBreed = scnr.nextLine();

      System.out.println(" ");

      myPet.setName(petName);

      myPet.setAge(petAge);

      myPet.printInfo();

      myDog.setName(dogName);

      myDog.setAge(dogAge);

      myDog.setBreed(dogBreed);

      myDog.printInfo();

      System.out.println(" Breed: " + myDog.getBreed());

  }

}

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By solving a linear equation we will see that DE = 22.67 units.

For the given square we know that EC = 7x - 3 and AE = 4x + 8, notice that both EC and AE are half of a diagonal of the square, so these measures must be the same one, then we can write the linear equation:

7x - 3 = 4x + 8

solving for x:

7x - 4x = 8 + 3

3x = 11

x = 11/3

And DE is also half of the diagonal, so the measure of DE is the same than the measure of EC, then it is:

DE = 7x - 3 = 7*11/3- 3 = 22.67

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The total change in the stock market from the beginning of the day to the end of the day is 89.75

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

At the beginning of the day, the stock market goes up 30 1/2 points.

At the end of the day, the stock market goes down 120 1/4 points.

The total change in the stock market from the beginning of the day to the end of the day.

= 120(1/4) - 30(1/2)

= 481/4 - 61/2

= 120.25 - 30.5

= 89.75

Thus,

The total change in the stock market from the beginning of the day to the end of the day is 89.75

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Answer:

A

Step-by-step explanation:

Eliminate B and C because they don't pass through (0,1).

Eliminate D because it doesn't decrease quickly enough.

The length of Rocky Mountain Juniper tree will be 1.269 feet.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

Now,

Let the height of Rocky Mountain Juniper tree = x feet

And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as;

⇒ 5.1 / 81.6 = x / 20.3

Solve for x as;

⇒ 5.1 × 20.3 / 81.6 = x

⇒ 103.53 / 81.6 = x

⇒ x = 1.269 feet

Thus, The length of Rocky Mountain Juniper tree will be 1.269 feet.

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1) missing number is 7 (answer #2)

Each circles' numbers add up to 20. (the first one is 1 + 9 + 10, the second is 5 + 4 + 11.)

20 minus 10 minus 3 is 7, so that's the missing number.

2) missing number is 3 (answer #4)

This one's similar to the previous question. Each square's numbers have a sum of 10, this time. (First square is 2 + 7 + 1 + 0, second is 4 + 3 + 1 + 2.)

10 minus 6 minus 1 minus 0 is the same as 10 minus 7. This equals 3- so there's the number that's missing!

Hopefully this helps!

The had to wait for the second flight for 40 mins.

We know that sometimes when a person is travelling there may be need to have a flight that connects a person from one place to another and at times you would have to wait for a connecting flight and this wait would add to the total time that is required for the journey.

Now we are told in the question that it takes 8 hours and 5 minutes to travel from Hong Kong to Dubai and that they left Dubai at 2250 hrs but landed in Hong King at  1405 hrs. The time in between must be;  2250 hrs - 1405 hrs = 8: 45 hrs thus the time of waiting is 40 minutes.

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2/45 is the probability that the ball will be both red.

Probability is the measure of the possibility of an event to occur.

It basically ranges from 0 t0 1

10% of the candies are green

10% of the candies are red

20% of the candies are yellow

20% of the candies are blue

20% of the candies are orange.

Hence,

P ( brown ) = .1

P ( red ) = .1

P ( blue ) = .2

P ( yellow ) = .2

P ( orange ) = .2

P ( green ) = .2

The rest is brown. The percentage of brown candies is not important to this problem.

If you pick a candy at random, what is the probability that it is either red or yellow?

Probability of red = 0.1

Probability = (¹⁰C₁ × 0.1 +  ¹⁰C₁ ×0.1) / ¹⁰C₂

                  = 2 / 45

2/45 probability that it is both red.

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The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]\overline{x} = 1400, n = 64, s = 240[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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By using division, it can be calculated that

It takes 729 lakes of size of  lake ontario  to make lake ontario  equal to the surface area of the arctic ocean

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on  division

Surface area of arctic ocean = [tex]3^{15} \ km^2[/tex]

Surface area of Lake ontario = [tex]3^9 \ km^2[/tex]

Number of lake of size of  lake ontario will it take to equal the surface area of the arctic ocean = [tex]3^{15} \div 3^9[/tex]

                                = [tex]3^{15 - 9}[/tex]

                                = [tex]3^6[/tex]

                                = 729

It takes 729 lakes of size of  lake ontario  to make lake ontario  equal to the surface area of the arctic ocean

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By using division, it can be calculated that it takes 729 lakes of the size of lake Ontario to make lake Ontario equal to the surface area of the arctic ocean.

The division is the process by which the value of a single unit can be calculated from the value of multiple units.

The number to be divided is known as a dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well-known formula for division:

Divisor x Quotient + Remainder = Dividend.

So, this is a word problem on division.

The surface area of the arctic ocean = 3¹⁵km²

The surface area of Lake Ontario = 3⁹km²

A number of lakes the size of  lake Ontario will it take to equal the surface area of the arctic ocean:

3¹⁵/3⁹

3¹⁵⁻⁹

3⁶

729

Therefore, by using division, it can be calculated that it takes 729 lakes of the size of lake Ontario to make lake Ontario equal to the surface area of the arctic ocean.

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The volume formula for this problem are given as follows:

The volume of a cone with radius r and height h is given as follows:

V = πr²h/3.

The volume of a square prism of side length s is given by the multiplication of the side length squared by the height, as follows:

V = s²h.

For the square pyramid, we have that the height is one third of the prism, hence:

V = s²h/3.

The volume of the cylinder is three times the volume of the cone, hence:

V = πr²h.

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The total after the discount would be $4,726.54

2/10 net 30 is a trade credit extended to the buyer from the seller. A buyer will get a 2% discount on the net amount if they pay in full within the first ten days of the invoice date

Given that: A retailer makes a purchase costing $4,823 from a vendor and then makes a payment in full within nine days of the purchase.

The bill is written with a 2/10 net 30, the buyer would get a two percent discount.

Since the payment is made within nine days, the discount is still valid. Thus:

Total = $4,823 - (2/100 × $4,823 )

Total = $4,823 - (0.02 × $4,823 )

Total = $4,726.54

Therefore, the total would be  $4,823-($4,823 x .02) = $4,726.54. The second option is the answer

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Answer:

the remaining mass is 7.3 g

Step-by-step explanation:

a=30g

t=200 years

h=98 years

f(98)=a([tex](\frac{1}{2})^ \frac{t}{h}[/tex]

f(98)=30([tex](\frac{1}{2})^ \frac{200}{98}[/tex]

f(98)=7.3

Answer:

(1,-2),(6,21)

Step-by-step explanation: