Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.​

Answer:

I think 14

Step-by-step explanation:

I think 14 because I added on paper and got 14

Answer:

well you see it really

Step-by-step explanation:

Answer:

a) 9000

b) 40

c) 630

d) 125

Answer:

In the very first step, when they multiply both sides by 3 the -2y should become -6y but instead it stays as -2y. The correct solution would be:

9x - 6y  =6

9x - 6y = 6

0 = 0

This means there are infinite solutions.

Answer:

3.46 or ..

[tex] 2\sqrt{3} [/tex]

Step-by-step explanation:

because you use sin(60) = 3/u

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

Answer:

i want to drive alone but i am 15 and need to be 17

Step-by-step explanation:

Answer:

a. ∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. ∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. ∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. ∀ a, b ∈ Z, |ab| = |a||b|

Step-by-step explanation:

a. The sum of two negative integers is negative.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if a and b are negative, we write if a < 0 ∧ b < 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, if a < 0 ∧ b < 0. Then finally, we use the logical operator ⇒ to imply the summation of the two integers as ⇒ a + b. And since we are to show that their sum is less than zero, we write ⇒ a + b < 0.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. The difference of two positive integers is not necessarily positive.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if there exists a and b that are positive, we write if a > 0 ∧ b > 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, a > 0 ∧ b > 0. Then finally, we use the logical operator ⇒ to imply the difference of the two integers as ⇒ a - b. And since we are to show that their difference is either less than zero or greater than zero, we write ⇒ a - b < 0 ∨ a - b > 0 where ∨ implies the logical operator "or".

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. The sum of the squares of two integers is greater than or equal to the square of their sum.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are dealing with the sum of the squares of each integer, we write a² + b². And, we are to show that this sum is greater than the sum of the individual integers, we write their sum as a + b, and we show the previous sum to be greater than or equal to this as a² + b² ≥ (a + b).

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. The absolute value of the product of two integers is the product of their absolute values.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are to show that absolute value of the product of the integers equals the product of the absolute value of the individual integers, we write the that absolute value of the product of the integers as |ab| and the product of the absolute value of the individual integers as |a||b|.

Since we are to show that this expression and the previous expression are equal, we write |ab| = |a||b|.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, |ab| = |a||b|

Answer:x=31

not sure

Step-by-step explanation:

Answer:

y=-32/11+a/11-n/11

Step-by-step explanation:

Answer:

one solution

the solution is x=0

Answer:

1

Step-by-step explanation:

You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.

Answer:

Is there more context? Like an image, describing what cars there are?

Step-by-step explanation:

You can sort cars by model type, brand, color, style, etc. So yes, unless there is only 2 types of car types/brands/colors/style etc

Answer:

x      f(x) + 1

-4       6

-2       8

2       2

4       -1

Step-by-step explanation:

5 + 1 = 6

7 + 1 = 8

1 + 1 = 2

-2 + 1 = -1

Given:

The equation of parallel line is [tex]y=6[/tex].

The line contains the point (-1,1).

To find:

The equation of the line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The equation of parallel line is

[tex]y=6[/tex]

It can be written as

[tex]y=(0)x+6[/tex]

The slope of this line is 0.

The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=0(x-(-1))[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Therefore, the equation of the required line is 1.

Answer:

20

Step-by-step explanation:

Because this angle is 90 and we have 70

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

Answer: -11m-8

Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8

Answer:

16m

Step-by-step explanation:

-3m -8 (m+1) any variable has 1.

-8  (-2m)

16m

Answer:

6.3

Step-by-step explanation:

Answer:

1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

factors:

1, 2, 3, 6, 9, 18, 27, 54.

Therefore, all the factor pairs for 54 is 1, 2, 3, 6, 9, 18, 27, 54..

Answer: (1,54) (2,27) (3,18) (6,9)

Step-by-step explanation: 54 x 1 = 54    27 x 2 = 54    3 x 18 = 54   6 x 9 = 54

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

Answer:

210° or 60°

Step-by-step explanation:

The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry

Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.

A circle or band that divides a body's surface into two typically equal and symmetrical portions.

When a shape or item has a central point, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.

The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves.

It denotes that one half is the other half's mirror image.

Thus, the required design is Line of Symmetry.

Learn more about Symmetry here:

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Answer: (0,4)

Step-by-step explanation:

Answer: 180 pie units^2

Step-by-step explanation:

Got it right on edg

The area of the shaded sector subtending 162° at the center is 180π units².

The option (3) is the correct answer.

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

In the diagram, we are given a circle with a shaded sector:

The radius of the circle (r) = 20 units

The angle subtended by the shaded sector = 162°

To find the area of the shaded sector, we can use the formula:

= [tex]\frac12 \theta r^2[/tex]

Where θ is the angle subtended in radians and r is the radius.

162° = 162° × (π/180°) rad

= 0.9 π rad

area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²

Hence, the area of the shaded sector subtending 162° at the center is  180π units².

To learn more about sector of a circle, click:

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Answer:

7881.75

Step-by-step explanation:

10,170x0.775

Answer:

7881.75

Step-by-step explanation:

Answer:I Dont know about this one soryy

Step-by-step explanation: