Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(

5000 x (1-0.10)^2

5000 x 0.90^2

5000 * 0.81

it is valued at 4,050 after 2 years

Final answer:

After applying a 10% yearly depreciation to the initial value of £5000, the car's value after 2 years will be £3150.

Explanation:

When a car decreases in value by 10% a year, its value after 2 years can be calculated using exponential decay. To compute the value of the car after two years, we start with the initial value of £5000 and apply a 10% decrease for each year. The formula for the value of the car after a certain number of years is given by:

Future Value = Present Value × (1 - rate of depreciation)^number of years

For the first year:

Future Value = £5000 × (1 - 0.10)¹

Future Value = £5000 × 0.90

Future Value = £4500

For the second year, we use the value at the end of the first year:

Future Value = £4500 × (1 - 0.10)¹

Future Value = £4500 × 0.90

Future Value = £3150

Therefore, after 2 years, the car will be worth £3150.

Answer:

junko enishima

Step-by-step explanation:

Answer: -3,4

Step-by-step explanation:

Because it wants you to rotate th epoint 180 degrees arond the orgin of the coordinate plane which then gives you the -3,4 option as your answer.

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is 40 degrees. This is calculated by dividing the total 360 degrees of the nonagon by its number of sides, which is 9.

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is obtained calculating the total 360 degrees of the nonagon divided by the total number of sides, which is 9.

Here is the step-by-step calculation: 360 degrees / 9 sides = 40 degrees

Therefore, the smallest angle of rotational symmetry for a regular nonagon is 40 degrees.

https://brainly.com/question/1597409

#SPJ12

The width of the rectangle will be 6 meters.

What is mean by Perimeter ?

The perimeter of any quadrilateral is the sum of all sides of a

quadrilateral .

Given that;

The length of a rectangle is 3 meters less than 3 times the width.

The perimeter of a rectangle = 42 meters.

Now,

Let the width of a rectangle = x meter

Then, By condition The length of a rectangle is 3 meters less than 3 times the width.

We get;

The length of the rectangle = ( 3x - 3 ) meters

Since,

The perimeter of a rectangle = 2 (  Length + Width )

Here, The perimeter of a rectangle = 42 meters.

Now, After substitute all the values we get;

The perimeter of a rectangle = 2 (  Length + Width )

The perimeter of a rectangle = 2 ( 3x - 3 + x)

42 = 2 ( 4x - 3)

42 = 2 (4x - 3)

Solve for x as,

Divide by 2;

21 = 4x - 3

Add 3 both side;

21 + 3 = 4x - 3 + 3

24 = 4x

Divide by 4, we get;

x = 24/4

x = 6

Thus, The width of a rectangle = 6 meters.

Therefore, The width of the rectangle will be 6 meters.

Learn more about the perimeter visit:

https://brainly.com/question/443376

#SPJ2

Answer:

Answer: C

Step-by-step explanation:

Edge 2021

7 +0.30x = 4 +0.40x

subtract 4 from each side

3+0.30x = 0.40x

subtract 0.3x from each side

3 = 0.10x

divide both sides by 0.10

3 /0.10 = 30

30 checks would make both accounts equal

so he would need to write 31 checks for the first one to be better.

Answer:30

Step-by-step explanation:

it’s right

The Nile River is 2,600 miles long. If you are answering the FLVS question then it is also 2,600 miles.

To find the percent of 85 that is 10, divide 10 by 85 and multiply by 100. The answer is 11.76%.

To find the percent of 85 that is 10, we divide 10 by 85 and multiply by 100.

10 / 85 = 0.1176

0.1176 * 100 = 11.76%

Roundin the answer to the nearest hundredth of a percent, we get 11.76%.

Answer:

For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.

Step-by-step explanation:

A quadratic equation [tex]y=ax^2+bx+c[/tex] has

1. No x-intercept if [tex](b^2-4ac)<0[/tex].

2.One x-intercept if [tex](b^2-4ac)=0[/tex].

3. Two x-intercept if [tex](b^2-4ac)>0[/tex].

The given equation is

[tex]y=3x^2+7x+m[/tex]

It is a quadratic equation. Here, a=3, b=7 and x=m. The graph of given equation have two x-intercepts if the discriminant is positive.

[tex](b^2-4ac)>0[/tex]

Put a=3, b=7 and x=m in the above inequality.

[tex]7^2-4(3)(m)>0[/tex]

[tex]49-12m>0[/tex]

Add 12m on both the sides.

[tex]49>12m[/tex]

Divide both sides by 12.

[tex]\frac{49}{12}>m[/tex]

For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.

Answer:

1. (5,0)

2. 20 of type A;20 of type B

3. no solution

4. -5

5.D

11 -12 7

5 12 -7

6. (-6,8)

100% right i gotchu bbs <3

The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.

We need to find the element [tex]a_{23[/tex] in matrix A.

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

From the given matrix, the element in the second row and third column is -5.

The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.

To learn more about the matrix visit:

https://brainly.com/question/28180105.

#SPJ2

The consecutive even integers such that the smaller added to four times the larger gives a sum of 48 are; 8 and 10

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

WE have to determine the two consecutive even integers such that the smaller added to four times the larger gives a sum of 48.

Let the two consecutive even integers are; x and (x+2)

Therefore,

X+4(x+2) = 48

X+4x+8=48

5x=40

X=8

Hence The consecutive even integers are; 8 and 10

Learn more about the consecutive whole numbers;

brainly.com/question/24912446

#SPJ5

Answer:

33

Step-by-step explanation:

We need to find 6% of 550.

We can calculate with a direct rule of 3. If the 100% is 550, how much is the 6%?

[tex]100 -\!\!\!-\!\!\!- 550\\ 6 -\!\!\!-\!\!\!- x[/tex]

We use the formula of the direct rule of 3:

[tex]x = \frac {6 * 550}{100} \\ \\ x = \frac {3300}{100}\\ \\ x = 33[/tex]

33 toys will be defective.

If a toy manufacturer produces 550 toys in one day, then the number of toys that would be defective is 33 toys.

Given the following data:

To find the number of toys that would be defective from a production:

[tex]D = \frac{6}{100}[/tex] × [tex]T[/tex]

Substituting the given parameters into the formula, we have;

[tex]D = \frac{6}{100}[/tex] × [tex]550[/tex]

[tex]D = 0.06(550)[/tex]

Defective toys, D = 33 toys.

Ratio: https://brainly.com/question/12212308

The sequence provided (1, 5, 30, 210, 2680) does not match typical simple arithmetic or geometric patterns, suggesting it may involve a more complex rule like factorial growth, though a specific pattern cannot be determined with the provided information.

The question is about finding the pattern in the sequence 1, 5, 30, 210, 2680. To solve this, observe how each term relates to its predecessor. The sequence does not directly follow an arithmetic or geometric pattern; instead, it seems to involve a factorial or multiplicative pattern with increasing multipliers.

However, the information provided does not directly match the given sequence, suggesting that there might have been a typo in the sequence or additional rules that were not stated. Generally, patterns can be identified through arithmetic (addition/subtraction), geometric (multiplication/division), or more complex operations (such as factorial or combinations), but without the correct sequence or a clear rule, it's challenging to provide a decisive pattern.

For sequences that escalate rapidly like this one, factorial operations or exponential growth with additional manipulations (addition, subtraction) are common, but the specific pattern here is unclear without further clarification or the correct sequence.

multiply 3.5 x 3 = 10.5

 add -5 +-10 = -15

 so you have 10.5 x 10^15

 then you need to move the decimal point 1 place to the left to get 1.05

 since you move the decimal point 1 place to the left you add 1 to the -15 to get -14

 so answer = 1.05 x 10^-14

The total cost of the ski jacket and matching ski pants is $250.

Given that, a ski jacket costing $160 is $20 less than twice the cost of the matching ski pants.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of matching ski pants be x.

Now, 2x-20=160

⇒ 2x=180

⇒ x=90

So, the cost of the matching ski pants is $90.

Total cost = 160+90 = $250

Therefore, the total cost of the ski jacket and matching ski pants is $250.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5