Determine what type of model best fits the given situation: A retirement account that is expected to

grow by $1,000 per year.

Answers

Answer 1

Answer:

Step-by-step explanation:

If the account grows steadily, this is a linear representation, where the constant, steady growth translates to the slope of a line.


Related Questions

In right triangle ABC, AB = 3 and AC = 9. What is the measure of angle B to the nearest degree?

Answers

Answer:

90 degrees

Step-by-step explanation:

see image

make x A

y B

z C

AB=3 (given)

AC=9 (given)

measure of angel B or y, is 90

if

x= A

y= C

z= B

then the hypotenuse would be shorter than one of the legs

3<9

so B has to be the right angle (90 degrees)

If BC = 5, DE = 9, and AB = 4, what is the length of AD?


7
8
7.2
7.5

Answers

There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.

AB / AD = BC / DE

4 / (4 + BD) = 5 / 9

---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.

5(4 + BD) = 9 x 4

20 + 5BD = 36

5BD = 16

BD = 3.2

AD = AB + BD

AD = 4 + 3.2

AD = 7.2

Hope this helps!

Which of the following is a parent function?
O A. f(x) = e*
O B. f(x) = 2.34
O x
C. f(x) = x4 +3
O D. f(x) = 2e2x

Answers

Answer:

[tex]f(x) = e^x[/tex]

Step-by-step explanation:

Given

Options (a) to (d)

Required

Which is a parent function

A parent function is such that has a single term without coefficients

From the list of given options

[tex]f(x) = e^x[/tex] suits the above definition

Other options (b) to (d) either have coefficients, or have multiple terms

The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.

a. Find the domain.
b. What does the domain mean in this context?

Answers

Answer:

see below

Step-by-step explanation:

The domain is the values that the input takes

The values go from 0 to 7

0≤x≤7

This is the time from the initial launch until the object hits the ground

(x-4)°=1
giải hộ em với ạ

Answers

Answer: 5

Step-by-step explanation:

⇒ (x - 4) = 1

⇒ x = 1 + 4

⇒ x = 5

Therefore value of x = 5

Answered by Gauthmath must click thanks and mark brainliest

12. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–10, 2)

B. (2, –10)

C. (–5, 23)

D. (5, –23)

Answers

Answer:

I think b no. is the correct answer

Answer:

D. (5, –23)

Step-by-step explanation:

The vertex is in essence the turning point of the parabola y = x² − 10x + 2

the x coordinate of the turning point =  

                                                        =  

                                                        =  5

when x = 5, y = (5)² - 10(5) + 2

                     = -23

Thus coordinate or vertex is ( 5, -23)

5 right 23 down

Need help on this activity!!

In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.

As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.

Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .

Answers

Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

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Rewrite
4/10 : 1/25 as a unit rate.

A: 10:1
B: 25:4
C: 2:125
D: 100:1

Answers

Answer:

4/10 : 1/25

4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.

10 can also be written as 10:1, so A is correct.

Hope this helps!

The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?

Answers

Answer:

s(2) = 17 cm

Step-by-step explanation:

We are told that the velocity function is;

v(t) = 6t² + 4t − 5 cm/sec

Integral of velocity gives distance.

Thus;

s(t) = ∫v(t) = ∫6t² + 4t − 5

s(t) = 2t³ + 2t² - 5t + c

We are told that s(0)=3 cm

Thus;

s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3

Thus; c = 3

Thus;

s(t) = 2t³ + 2t² - 5t + 3

At t = 2 secs

s(2) = 2(2)³ + 2(2)² - 5(2) + 3

s(2) = 17 cm

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.

6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5

Construct a dotplot with these data and then identify the dotplot you created.

Answers

Answer:

The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.

Step-by-step explanation:

The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.


In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.

Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.

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Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).

Answers

y = -2x-3

Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope  , then a line perpendicular to this has slope . That means the slope of our perpendicular line is

The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.

To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:

8x - 2y = 4

-2y = -8x + 4

Divide both sides by -2:

y = 4x - 2

The slope of the given line is 4.

The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.

Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Substituting the values, we have:

y - 3 = (-1/4)(x - 4)

Expanding and simplifying, we get:

y - 3 = (-1/4)x + 1

Adding 3 to both sides, we have:

y = (-1/4)x + 4

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Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7

Answers

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.


What value of x is in the solution set of -2(3x + 2) >-8x + 6

Answers

Answer:

x >5

Step-by-step explanation:

-2(3x + 2) >-8x + 6

Distribute

-6x-4 > -8x+6

Add 8x to each side

-6x-4+8x > -8x+8x+6

2x-4 > 6

Add 4 to each side

2x-4+4 > 6+4

2x> 10

Divide by 2

2x/2 >10/2

x >5

Step-by-step:

-2(3x+2)>-8x+6. divided by 2,-3x-2>-4x+3. the solution set of -2(3x+3)>-8x+6 is {x/x>5}

Answer:

6

Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Answers

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

[tex]\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots[/tex]

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

[tex]\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}[/tex]

Find the common difference by subtracting the first term from the second:

[tex]d = (4x+4) - (-3x - 1)[/tex]

Distribute:

[tex]d = (4x + 4) + (3x + 1)[/tex]

Combine like terms. Hence:

[tex]d = 7x + 5[/tex]

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

[tex]\displaystyle x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

[tex]\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)[/tex]

To find the 13th term, let n = 13. Hence:

[tex]\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)[/tex]

Simplify:

[tex]\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}[/tex]

The 13th term is 81x + 59.

Find the center and foci of the ellipse: 9x2 + 16y² + 126x + 96y + 441 = 0

Answers

Center : ( –7 , –3 )Focus 1: (–7 + √7 , –3 )Focus 2: ( –7 –√7 , –3 )

[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]

a= 4 , b= 3 , k = – 3 , h = –7

The center: ( h , k ) —> ( –7 , –3 )

[tex]c = \sqrt{ {a}^{2} - {b}^{2} } = \sqrt{ {4}^{2} - {3}^{2} } \\ = \sqrt{16 - 9} = \sqrt{7} [/tex]C = √7

Focus 1: ( h + c , k ) —> ( –7 + √ 7 , –3 )

Focus 2: ( h – c , k ) —> ( –7 –√7 , –3 )

I hope I helped you^_^

find the ratio of Rs 20 and 900​

Answers

Answer:

1 : 45

Step-by-step explanation:

Given

Rs 20 and 900 ( divide both by 20 )

= 1 : 45

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

The answer would be D.) 904.78 cm cubes because the formula for a cylinder is V=πr2h meaning you have to do the radius which is 6 squared which comes out to 36 times pi to get 113.04 which you multiply by the height of 8 to get Answer D.) 904.78cm cubed

Nghiệm của bất phương trình | 2x - 3| - 1 <0

Answers

Answer:

x = 1 và 2       x= 1 and 2

Step-by-step explanation:

Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2

First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2

What is the solution for z?
24=z/0.6?

Answers

Answer:

[tex]z=14.4[/tex]

Step-by-step explanation:

One is given the following equation:

[tex]24=\frac{z}{0.6}[/tex]

Use inverse operations to solve this equation. Multiply both sides of the equation by (0.6) to undo the division of (0.6).

[tex]24=\frac{z}{0.6}[/tex]

[tex](0.6)(24)=z[/tex]

Simplify,

[tex](0.6)(24)=z[/tex]

[tex]z=14.4[/tex]

( a ) 2x + 3y − 5z ( ) 32
( b ) x + y + z ( ) 8
( c ) x
2 + 2xy + z
2
( ) 36
( d ) (x + y)(x + z) ( ) −1
( e ) −(x
2 − y
2
) ( ) −16

Answers

Answer:

Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible  that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.

In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of  

nation:

What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40​

Answers

Answer:

Range = maximum number - minimum number

maximum number = 99minimum number = 62

Range = 99 - 62 = 37

Answer:

37

Step-by-step explanation:

The range is the difference between the highest number and the smallest number.

Looking at the stem and leaf plot we can identify the largest and smallest number

Largest number: 99

Smallest number: 62

If range = largest number - smallest number then range = 99 - 62 = 37

Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...

Answers

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

Explanation:

a) Add 3 on every number.

b) Multiply every number by 3.

TRIGONOMETRY
Could someone please help me with 5.2 please...it would really help alot:)​

Answers

sin(x+y) - sin(x-y) - 1 = cos(2x)

sin(90) - sin(x-y) - 1 = cos(2x)

1 - sin(x-(90-x)) - 1 = cos(2x)

-sin(2x-90) = cos(2x)

-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)

-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)

-1*(0 - cos(2x)) = cos(2x)

-1*(-cos(2x)) = cos(2x)

cos(2x) = cos(2x)

This confirms the identity is true.

Notice that throughout this proof, I only changed the left hand side.

On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).

What is the explicit formula for this sequence?
-9, - 3, 3, 9, 15, ...

Answers

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

Answers

0.14 would be correct

ntroduction to Functions
Assignment Active
Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
0 (-1, -3)
O (4, -2)
O (6,-1)

Answers

Answer:

To be a function, each input must only have one output. In this case, input 4 has two outputs, so (4 , -2) can be removed for it to be a function.

Let me know if you have any other questions!

The ordered pair (4,2) could be removed to make the given relation a function.

What is the relation?

A relation is a function if for every input (x-value) there is exactly one output (y-value).

If there are two or more ordered pairs with the same x-value but different y-values, then the relation is not a function. In this case, one of those ordered pairs would need to be removed in order to make it a function.

As per the question, the relation was given as {(-5,0), (2, -3), (-1, -3), (4, -2), (4, -2), (6,-1)}, the ordered pair (4,-2) would need to be removed because there are two outputs (-2 and 2) for the input of 4.

Thus, removing (4,2) would result in the function.

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can someone help me with this?

Answers

Answer:

The answer is 660

Step-by-step explanation:

30×2200÷100= 660

Answer:

660

Step-by-step explanation:

to know 30%

2200÷10×3=660

x3 + (y +z) factorize​

Answers

I think you wrote the question wrong this question is not factorable

x = 3

x = 5

x = 0

x = 2

Answers

Answer:

x=2 is incorrect

Step-by-step explanation:

Y(2)=(3/4)*x^2=(3/4)*4=3

Read is solving the quadratic equation 0 equals X over two minus 2X -3 using the quadratic formula which shows the correct substitution of the values ABC into the quadratic formula quadratic formula X equals negative B+

Answers

Answer:

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

Step-by-step explanation:

Given

[tex]0 = x^2 - 2x -3[/tex]

Required

The correct quadratic formula for the above

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

And the formula is:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]0 = x^2 - 2x -3[/tex]

Rewrite as:

[tex]x^2 - 2x - 3 = 0[/tex]

By comparison:

[tex]a= 1; b = -2; c = -3[/tex]

So, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

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