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Answer:

x < 39

Step-by-step explanation:

x - 27 < 12

Add 27 to both sides.

x - 27 + 27 < 12 + 27

x < 39

\(\qquad\qquad\huge\underline{{\sf Answer☂}}\)

Let's solve the inequality ~

\(\qquad \sf  \dashrightarrow \: x - 27 < 12\)

\(\qquad \sf  \dashrightarrow \: x < 12 + 27\)

\(\qquad \sf  \dashrightarrow \: x < 39\)

The overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/4)4t

Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually.

The balance in the account after 10 years was $1686.25.

INCREMENT in 10 years is 1686.25-900 = $786.25

So the percentage increment will be 900-786.25/ 900 = 87.36%

Hence, the overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

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1. Move terms to the left side

2.Subtract the numbers

3.Use the quadratic formula

4.Simplify

5.Separate the equations

6.Solve

Rearrange and isolate the variable to find each solution.

Solution,

Solution

x=5±√39

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

a

 \(z = 6.25 \ cm/yr\)

b

   \(k = -0.25 \ cm /yr\)

Step-by-step explanation:

From the first image  the rate of  rate of change of the height from age 8 to 16  

  is  mathematically evaluated from the graph as  

             \(z = \frac{175 - 125}{16-8}\)

            \(z = 6.25 \ cm/yr\)

From the first image  the rate of  rate of change of the height from age 60 to 80.

  is  mathematically evaluated from the graph as

             \(k = \frac{175 - 170}{60-80}\)

            \(k = -0.25 \ cm /yr\)

Answer:

-1/4

Step-by-step explanation:

Answer:

the answer is to the question is 691648

Answer:

B

Step-by-step explanation:

B gives you 8/12, which can be simplified down to 2/3.

Answer:

x+7

Step-by-step explanation:

25x - 6x - 18x + 7

x + 7

Answer:40

Step-by-step explanation:6/30

6x30=180

6x6=36

4/6=20

4+36=40

Answer:

-1.8

Step-by-step explanation:

-12.1 + 10.3

Since the signs are different, we subtract and take the sign of the larger

12.1 -10.3

1.8

Since 12.1 was negative, we make the answer negative

-1.8

Answer:

-1.8

Step-by-step explanation:

Therefore, the answer is -1.8.

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer: No

Step-by-step explanation: it would be  (0,4)

Answer:

The answer is 8.

Step-by-step explanation:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.

The scale factor of ABC to DEF would be 1/3 Thus, the correct option is B.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

In a triangle ABC and DEF

The sides are as follows 5 to 15 which is thrice the length of the side in ABC.

4 to 12 which is 3 times the length of the side in ABC.

3 to 9 which is 3 times the length of the side in ABC.

Thus, the scale factor would be 1/3.

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The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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exponential formula:

where a and b are two constants.

Replacing with x = 0, and y = 1, we get:

Replacing with a = 1, x = 1, and y = 3, we get:

Then, the equation is:

This result can be checked with the other points of the table.

When x = 2,

When x = 3,

Answer: A=4800(.04)^14

Step-by-step explanation: solve

Answer:

(e) 20%

Step-by-step explanation:

20/25 = 80/100 = 80% of 25.

If 25/25 = 100%,

then 100% - 80% = 20%

So, the school fees decreased by 20%

Answer:

it is 42

Step-by-step explanation:

12 ×9/64

when it simplify u get

42

Answer:

it is 42 when you simplify you get 42

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

= -13 / 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

For any quadrilateral the sum of all the angles equal 360 so you can add all angles and set =360

x + 2x +3x 3x = 360                >This is your equation, combine like term

9x = 360                                  >Divide both sides by 9

x = 40                                

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

\(a(9 {a}^{2} b + ba)\)

hope it's helpful ❤❤❤❤❤❤❤

THANK YOU.

All groups of animals could be found in temperate grasslands.

Mammals including wolf, prairie animals, reindeer, mice, coyotes, wolves, and jackrabbits are among the inhabitants of this biome. Starlings, sparrows, owls, raptors, and quails are some of the birds found in this biome. The most common insects are grasshoppers and snakes.

All groups of animals could be found in temperate grasslands.

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Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer:

150

Step-by-step explanation:

Multiple 50 by 3 and ur final results

Answer:

Let's first break apart the problem!

Let x = adult tickets

Let y = child tickets

We know from the problem that a total of 336 tickets were sold.

x + y = 336

We also know from the problem the total profit was $4675. We also know that the adult tickets were $15 per ticket and the child tickets were $10 per ticket.

15x + 10y = 4675

Now we need to combine our two-equation by making a common variable. Let's multiply our first equation by 10 and then combine the two equations.

10x + 10y = 3360

Now lets combine the equations

15x 10y = 4675

-10x - 10y = -3360

to get

5x = 1315

x = 263

Therefore there were 263 adult tickets sold.

I hope this helps