David invested $220 in an account paying an interest rate of 1. 7% compounded

continuously. Assuming no deposits or withdrawals are made, how much money, to

the nearest ten dollars, would be in the account after 10 years?

Answer:

Step-by-step explanation:

x ÷ 48 = 4

Multiplying both sides by 48 we get:

x ÷ 48 x 48 = 4 x 48

x =  192

16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6

smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest

The factored form of quadratic equation 2x² + 7x + 3 is 2(x + 1/2) (x + 3)

A quadratic equation can be expressed in:

- Standard form: y = ax² + bx + c

- factored form: y = a(x - x₁) (x - x₂)

Here, x₁ and x₂ are the roots of the given function.

Suppose we are given a quadratic equation:

y = ax² + bx + c

To find the factored form, use the following properties:

x₁ . x₂ = c/a

x₁ + x₂ = - b/a

In this case, the quadratic function is:

y = 2x² + 7x + 3

We have to find x₁ and x₂ such that:

x₁ . x₂ = 3/2

x₁ + x₂ = - 7/2

Hence,

x₁ = - 1/2

x₂ = - 3

Therefore the factored form is:

y = 2(x + 1/2) (x + 3)

Your question is incomplete, but most probably your question was:

Which expression is the factored form of 2x² + 7x + 3?

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Answer:

C. plot a point at the y-intercept

Step-by-step explanation:

Answer:

Its C hope this helps. byer

Answer:

k = 20

can i have brainliest

Step-by-step explanation:

Answer:

$21

Step-by-step explanation:

If apples are 3 dollars for 1 pound, and he buys 7 pounds, that's 3 * 7, which is 21.

Answer:

21

Step-by-step explanation:

3×7 21. jejdiwndbJnsjdkandjxjwnxjkwhdusjdidjduxjsbxjsndkdndjxjdjd

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

quadratic equations

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

factoring

factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

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Answer:

36 candy bars. (32 if sold in packs)

Step-by-step explanation:

We know that eight candy bars cost 6 dollars, and we purchased $27 dollars worth of them.

Therefore, we can use 27/6 = 4.5 to see how many packs/sets of candy bars we purchased. Since there are 8 in a pack/set, we do 8x4.5 = 36 to see we can purchase 36 candy bars. However, if you can only buy them in packs of 8, then you can only purchased 4 packs/32 bars since 6x5 = 30 and we only have 27 dollars.

Answer:

I pretty sure it's 36 Candy bars (i think)

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

diameter = 2× radius

diameter =2×12

diameter =24 inches

Answer:

24

Step-by-step explanation:

multiply radius by 2 and you will get the diameter

The the radius is also Half diameter

I hope this helped!

Answer:

68⁰

Step-by-step explanation:

90 + 22 = 112

180 - 112 = 68

Domain

Range

Interval Notation

Let's organize what is given to us from the problem.

We are given a graph of a function.

We need to analyze the graph to determine the domain and range of the graph.

If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.

∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.

⇒ The domain of the graph is equal to x ≥ 3.

If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.

∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.

⇒ The range of the graph is equal to y ≥ 1.

∴ the answer to the question is equal to:

A. D: x ≥ 3

    R: y ≥ 1

___

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___

Topic: Algebra I

Unit: Functions

Answer:

BC ≈ 14.4 mm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² = AB² + AC² = 2.6² + 14.2² = 6.76 + 201.64 = 208.4

Take the square root of both sides

BC = [tex]\sqrt{208.4}[/tex] ≈14.4 mm ( to 1 dec. place )

Answer:

Step-by-step explanation:

You want to find the measure of the angle designated as ∠1, given the other two have measures of 40° and 30°. You also want the classification of the triangle based on its angles.

The sum of angles in a triangle is 180°.

  40° +∠1 +30° = 180°

  ∠1 = 110° . . . . . . . . . . . . subtract 70°

The classification of a triangle as acute, right, or obtuse is based on the measure of its largest angle. If that angle is 90°, the triangle is a right triangle. If it is less, the triangle is acute; if it is more, the triangle is obtuse.

The angle measure 110° is more than 90°, so this triangle is an obtuse triangle.

Answer:

7.2^2 = 51.84

51.84 x 3.14 = 162.7776(area of circle on bottom)

162.7776 x 17(height) = 2767.2192

2767.2192 divided by 3( x 1/3) = 922.4064

922.4064 rounded to the nearest hundredths place:

922.41 m3

Step-by-step explanation:

Formula of a cone:

base(area) x height x 1/3 (basically just dividing by 3)

Answer:

72,000kg

Step-by-step explanation:

So, we know that there are 640 bags.

Each bag has a mass of 120kg.

The mass shrinks at a ration of 15:16

So, we can think of the total mass as 120x640:

120*640

=

76,800kg

Next, we can think of the dried mass as 15/16 of the 76,800kg. This is because the dried ration was 15, and the orgninal ration was 16:

76,800/16

=

4,800kg

This isnt our end answer, next we have to multiply this by  15, to find the dried ration:

4,800*15

=

72,000kg

Hope this helps!

Answer:

1. 3/8 2. 3/8 3.  3-/8  4.  3/8 or  0. 375

Step-by-step explanation:

Answer:

y = 95°

Step-by-step explanation:

x + 120° = 180°

x = 180° - 120°

x = 60°

25° + y + x = 180°

25° + y + 60° = 180°

y + 85° = 180°

y = 180° - 85°

y = 95°

The height of the screen will be;

⇒ h = 28 inches

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.

Here,

The diagonal of the screen television = 53 inches

And, The width of the screen television = 45 inches

Let the height of the television = h

So, By the Pythagoras theorem, we get;

⇒ AC² = AD² + DC²

Where, AC = Diagonal of television.

AD = Height of the television

DC = Width of the television.

Substitute all the values, we get;

⇒ 53² = h² + 45²

⇒ 2809 = h² + 2025

⇒ 2809 -2025 = h²

⇒ h² = 784

⇒ h = √784

⇒ h = 28 inches

Thus, The height of the screen = 28 inches

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Answer:

24.2 feet.

Step-by-step explanation:

pythagorean theorem will solve this so A^2 + B^2=C^2

we have a and c so you do c -a and square root it to get your answer

The height of the building is approximately 24.19 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building.

So, hypotenuse of the triangle is 29 feet and base of the triangle is 16 feet.

Let h be the height of the building.

Now, 29²=16²+h²

841=256+h²

h²=841-256

h²=585

h=24.19 feet

Therefore, the height of the building is approximately 24.19 feet.

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Answer:

30 students

Step-by-step explanation:

80%  of  N   =   24            where N  is  the total number of students

So

.80 N   =  24

N =  24 /  .80     =      30

sorry this was a late response

There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .

Hope this helps!

When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5.

The link between two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.

The definition an equation in algebra is a mathematical expression that indicates the equivalence of two mathematical terms. In equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal."

When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5, this represents the situation where m is Merida's age.

correct option: D

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Answer: x= 6 y= -3

Step-by-step explanation:

Answer:

x=-96/15

y=-3

Step-by-step explanation:

this is the correct answer for sure

Answer:

The worded problem translates to n  ≤ 3

The options that are solutions to the problem are 1 and 4:

1) n less than or equal to 3, and

4) 3 greater than or equal to n   (since 3 ≥ n)

Step-by-step explanation:

Let's translate the e=words into expressions:

"five plus two times a number n"  becomes 5 + 2n

"is less than or equal to eleven" becomes ≤ 11

Put the two expressions together, with the word "is" and the "=" sign:  

     5 + 2n ≤ 11

Solving:  

   2n  ≤ 11 - 5

   2n  ≤ 6

   n  ≤ 3

The options are:

1) n less than or equal to 3   Correct

2) 3 less than or equal to n   Incorrect.  3 is greater than or equal to n

3) n less than or equal to 8   Incorrect.  n is less than or equal to 3

4) 3 greater than or equal to n    Correct   3 ≥ n

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.

The answer in descending powers of a is 3a³ + 4a² - a + 5.

A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11                                        

(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5

The coefficients of  a³, a², a and 1 is 3, 4, -1 and 5 respectively.                      

Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.

--The question is incomplete, answering to the question below--

"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

Add: 3a³ + 8a - 6 and 4a² - 9a + 11"

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The relationship between the variables in the table is an inverse variation The equation to model is y = 42/x.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 8 is an equation.

We have,

x:  2  6  7  14

y: 21  7  6  3

Now,

When x = 2, y = 21

This can be written as,

y = kx

21 = 2k

k = 21/2

The equation is y = (21/2)x _____(1)

or

y = k/x

21 = k/2

k = 42

The equation is y = 42/x _____(2)

Now,

We will check which equation fits the table.

From (1)

y = (21/2)x

When x = 6,

y = (21/2) x 6 = 21 x 3 = 63

From (2),

When x = 6,

y = 42/6 = 7

When x = 7,

y = 42/7 = 6

When x = 14,

y = 42/14 = 3

This equation satisfies the table.

Thus,

The relationship is an inverse variation.

The equation is y = 42/x.

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